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A 10-foot piece of PVC pipe 2014-10-21
From David:
A plumber has a 10-foot piece of PVC pipe. How many 9/5-foot pieces can be cut from the 10-foot piece ?
Answered by Penny Nom.
Three consecutive odd integers 2014-10-17
From Maddy:
3 times the largest of three consecutive odd integers is 13 more than the sum of the other two. What are the integers?
Answered by Penny Nom.
A poorly worded question 2014-10-14
From Marjorie:
How do I figure out the following? Dylan's dog weights 12 times more than his pet rabbit. The dog and the rabbit weight 104 pounds. How much does Dylan's dog weigh? Would you explain in detail how I would arrive at the answer so I can convey same to my grandson who is in the 5th grade. Thanks.
Answered by Penny Nom.
A quarter mile row of trees 2014-10-09
From junna:
a farmer would like to plant trees on one side of his lot which is 1/4 of a mile in a length His friend advised him that if he would plant the trees 5 feet farther apart,he would need 44 fewer trees.If the farmer would take the advice, how many trees would he plant?
Answered by Penny Nom.
A rectangle and a triangle 2014-09-27
From rajesh:
The perimeter of a rectangle is equal to the perimeter of a right-angled triangle of height 12 cm if the base of the triangle is equal to the breadth of the rectangle, what is the length of the rectangle?
Answered by Penny Nom.
A wire is bent to form a right triangle 2014-09-25
From Lorena:
A wire 24 dm is bent to form a right triangle. The ratio of the shorter leg to the hypotenuse is 3:5. Find the length of the longer leg?
Answered by Penny Nom.
How much did each dog weigh? 2014-09-16
From Fred:
LJ owned two dogs that weighed a total of 140 pounds. If one dog weighed 10 pounds more than the other, how much did each dog weigh
Answered by Penny Nom.
The average of 9 numbers is 45 2014-09-12
From rizza:
The average of 9 numbers is 45. If 90 and 88 are added to the set of numbers. What will be the resulting average?
Answered by Penny Nom.
The average age of a group of 10 students 2014-09-11
From sujan:
The average age of a group of 10 students was 20. The average age increased by 2 years when two new students joined the group . What is the average age of the two new students who joined the group?
Answered by Robert Dawson and Penny Nom.
The perimeter and diagonal of a rectangle 2014-09-10
From niniha:
the perimeter of a rectangle is 68cm.if the diagonal is 26, find its dimensions
Answered by Penny Nom.
A second grade word problem 2014-09-09
From Beth:
How do I explain to my second grader how to find the answer to the problem:
My tens digit is 8 more than my ones digit. My ones digit can not be zero.

Answered by Penny Nom.
Problem solving 2014-09-08
From hubert:
a car left the house and travelled at an average speed of 60 kph.how many minutes will it take for the car to reach the school which is 8 km away from the house
Answered by Penny Nom.
A secret number 2014-09-08
From jai:
it is smaller than half of 100, it is more than 4 tens and less than 5 tens, the tens digit is two more than the ones digit , together the digits have a sum of 6..... What is my secret number?
Answered by Penny Nom.
The sum of two numbers is 52 2014-09-01
From Blake:
The sum of two numbers is 52 and the difference is 10. What are the numbers? i used to be real good at this stuff?
Answered by Penny Nom.
Water usage in Ames 2014-08-29
From Abigail:
The City of Ames water treatment plant treats 7 million gallons of water per day on average to meet water demands. Hypothetically, if water is withdrawn from a groundwater system with an area of 51.6 square miles (approximate area of Ames and surrounding area), what is the depth of water in inches that would have to be added to the groundwater system annually to replace the water that is withdrawn by the city?
Answered by Penny Nom.
Cutting a round cake so that it doesn't dry out 2014-08-26
From James:
I'm wondering if there's a simple way to calculate the area between two parallel chords of a circle equidistant from its diameter, or if I have the area, to find the distance between the two chords.
Here's my "problem". You may have heard of the way of cutting a round cake so that it doesn't dry out - make two parallel cuts (chords) the length of the cake, take the middle piece, then push the two pieces together.
So I know the area of a 12" cake, and I want say, exactly an eighth of the cake. How wide do I cut the centre piece? Now to get even more difficult, the next day I want another eighth from the centre. How wide do I cut the next pieces, and so on...? Thanks, James

Answered by Harley Weston.
Distance, speed and time 2014-08-13
From abdel:
Mac walked to a park from the college at 5 km/h. 10 minutes later, Steve started riding his bike at 15 km/h to the same park to meet Mac. They arrive at the same time at the park. How far is the park from the college?
Answered by Tyler Wood.
A word problem with fractions 2014-08-01
From nathanielcabalan:
The denominator of a fraction is one more than the numerator. If the numerator is increased by three, the resulting fraction is one more than the original fractional. Find the original fraction.
Answered by Penny Nom.
A word problem concerning averages 2014-07-26
From Bernie:
The average weight of a team of children is 50kg, Todd who weighs 56 kg then joins the team. The average weight of the new team is 51. How many children in the original team?
Answered by Penny Nom.
4/9 of a set of story books cost Rs 630. 2014-07-09
From YASIN:
If 4/9 of a set of story books cost Rs 630. What will the rest of the set cost?
Answered by Penny Nom.
A word problem with fractions 2014-05-30
From shadab:
A container of milk is 4/5 full. When 10l milk is poured into it, the container becomes 9/10 full. What is the capacity of the container ?
Answered by Penny Nom.
A word problem with fractions 2014-05-23
From Tanzeela:
There are 1200 pupils in a school. 2/3 of them are girls. 1/4 of the boys are overweight. How many boys are overweight?
Answered by Penny Nom.
Travelling upstream and downstream 2014-05-12
From Mohanad:
Howie Sorkin can travel 8 miles upstream in the same time it takes him to go 12 miles downstream. His boat goes 15 mph in still water. What is the rate of the current?
Answered by Penny Nom.
Mary's height as a percentage of Michael's height 2014-05-11
From Lauren:
Mary is 1.4m tall and her brother Michael is 1.2m tall.
Express Mary's height as a percentage of her brother's.

Answered by Penny Nom.
How many boards did the carpenter start with? 2014-05-08
From Yanly:
A carpenter has several boards of equal length. he cuts 3/5 of each board. After cutting the boards, the carpenter notices that he has enough pieces left over to make up the same length as 4 of the original boards. How many boards did the carpenter start with?
Answered by Penny Nom.
A triangular chicken pen 2014-04-27
From Cierra:
Margaret has two lengths of fence, 20 meters and 24 meters, for two sides of a triangular chicken pen. The third side will be on the north side of the barn. One fence length makes a 75° angle with the barn. How many different pens can she build if one fence is attached at the corner of the barn? What are all the possible lengths for the barn side of the pen?

Not sure what they are asking here... please show step by step what to do! Thank you so much!

Answered by Penny Nom.
What was the selling price? 2014-04-25
From Con:
Apple built 40 32GB wifi iPads, gave away two in a contest, and sold the rest at two times the manufacturing price. If the company's total profit was $10,782, what is the selling price of one of these iPads?
Answered by Penny Nom.
What time was it when joe's brother passed him? 2014-04-25
From Nathan:
joe left home in his bike at 10:00 am, traveling 21 km/h. At noon, his brother set out after him on his motorcycle, following the same route. if the motorcycle traveled at 63 km/h, what time was it when joe's brother passed him?
Answered by Penny Nom.
Robyn and Shaun swim 2014-04-18
From kajinthan:
robyn swims four 35m lengths.shaun swims eight 15m widths. how much further does robyn swim?solve this maths
Answered by Penny Nom.
A circle is divided into three sectors 2014-04-17
From atolagbe:
the area of a circle is 154cm square. it is divided into three sectors such that two of the sectors are equal in size and the third sector is three times the size of the other two put together. calculate the perimeter of the third sector. take pi=22/7?
Answered by Penny Nom.
How fast did Jessica grow? 2014-04-10
From jasmine:
when she was 14 jessica was 5 feet, 4inches tall . at 18 she is now 6 feet, 2inches tall .how fast did jessica grow during this time
Answered by Robert Dawson.
Two rectangular prisms 2014-04-10
From hannah:
two rectangular prisms have a combined volume of 432 cubic feet Prism A has half the volume prism b has what are the volumes of prism a and prism
Answered by Penny Nom.
3/4lbs of nails fills a container 2/3 full 2014-04-04
From Tyler:
If 3/4lbs of nails fills a container 2/3 full, then how many lbs of nails will fill the container?
Answered by Penny Nom.
Shadows of a father and son 2014-04-02
From esada:
the father and son cast a shadow of 11 feet and 8 feet,respectively if the son is 4'8'' in height,how tall is the father?
Answered by Penny Nom.
A word problem with fractions 2014-03-26
From lois:
a man has a stack of boards, he cuts 3/5 off each board, after he cuts the boards he finds he has enough pieces left to make 4 boards the length of the original boards. how many boards did he start with.
Answered by Penny Nom.
Justin and his father went fishing 2014-03-26
From Confused:
Justin and his father went fishing and together caught 12 fish. Three times the number of fish that Justin caught exceeds 12 by as much as 5 times the number that his father caught exceeds 8. How many fish did each catch?
Answered by Harley Weston.
Riding on a Ferris wheel 2014-03-21
From Claire:
A Ferris wheel has a radius of 72 feet and its center is 85 feet above the ground. At the top of the Ferris wheel, Sam is in the topmost car. If the Ferris wheel makes two complete revolutions per minute, how high above the ground will Sam be after 10 seconds?
Answered by Penny Nom.
Ms. Werenich's nickels, dimes and quarters 2014-03-19
From London:
Ms. Werenich has twice as many dimes as nickels and 4 more quarters than nickels. If she has $4.50, how many of each coin does she have? What would the let statements be of this problem and can you solve it?
Answered by Penny Nom.
Find two numbers with a sum of -8 and a difference of 4 2014-03-19
From Elisabeth:
Find two numbers with a sum of -8 and a difference of 4. Let x be the greater number and y be the lesser number.
Answered by Penny Nom.
Three consecutive whole numbers 2014-03-13
From Abhishek:
Three consecutive whole numbers are such that if they be divided by 5,3 and 4 respectively, the sum of the quotient is 40. What are the numbers?
Answered by Chris Fisher.
The ratio of boys to girls is 5:3 2014-03-10
From jane:
The ratio of the number of boys to the number of girls in the concert hall is 5:3. After additional 28 boys entered the concert hall, the ratio of the number of boys to the number of girls become 3:1 How many girls are their in the concert hall?
Answered by Penny Nom.
A word problem 2014-03-09
From Joanne:
Ashley weighs 5kgs more than Joyce. Their total weight is 41 kgs. What is the weight of Ashley?
Answered by Penny Nom.
A word problem 2014-02-23
From Anh:
The Texas State Legislature is comprised of state senators and state representatives. The sum of the number of senators and representatives is 181. There are 119 more representatives than senators. How many senators and how many representatives make up the Texas Legislature?
Answered by Penny Nom.
A word problem with fractions 2014-02-23
From alex:
In a certain fraction the number by n the denominator is greater than the number by3.If 2 is added to both the numerator and denominator ,the fraction is increased by 6/35..Find the fraction.
Answered by Penny Nom.
A fountain surrounded by a walk 2014-02-18
From Maddie:
A square Water Fountain is Surrounded by a walk 2 yards wide. If the Area of the Fountain is 2/3 of the total area of the Fountain and the Walk. What are the Outside Dimensions of the Walk
Answered by Penny Nom.
Paul is making banana bread 2014-02-17
From John:
Paul is making banana bread. The number of cups of bananas he uses is proportional to the number of loaves of bread. Paul uses 11 1/4 cups of bananas to make 5 loaves of bread. Which equation represents the relationship between c, the number of cups of bananas, and b, the number of loaves of bread?
A) C=4/9 b
B) C=2b
C) C= 2 1/4 b
D) C=5b

Answered by Penny Nom.
Some mixed nuts 2014-02-12
From Andrew:
How many kg of mixed nuts that contain 30% peanuts must Paul add to 6kg of mixed nuts that contain 38% peanuts to make a mixture that contains 33% peanuts?
Answered by Penny Nom.
A word problem 2014-02-11
From cyril:
In a rectangle,the length is 1.5 times the breadth.if the length is shortened by 3 m and the breadth is lengthened by 3 m, the rectangle will be a square. Calculate the dimensions of the rectangle.
Answered by Penny Nom.
Pizza for 24 2014-02-07
From Delaney:
if 8 people eat 2/3 of a honey chicken pizza how many pizzas are need to feed 24?

How is this problem solved. Thank you!

Answered by Penny Nom.
The dimensions of a room 2014-02-01
From jenna:
The length of a rectangular room is 2m more than the width. Find the dimensions if the perimeter of the room is 34m
Answered by Penny Nom.
A bizarre percentage problem 2014-01-29
From matthew:
by what percent was the child's sodium level beneath the normal range? the child's sodium level was 107 where the normal is 136-145
Answered by Harley Weston.
Problem solving 2014-01-24
From ngozi:
There are 4 children in the Owens family. Jamie 1 1/2 times as all as Kelly and he is 6 inches taller than Olivia. Sammy is 56 inches tall, which is 2 inches taller than Olivia. Find Jamie's height
Answered by Penny Nom.
Kate, Tess and Nina 2014-01-23
From Sam:
Kate is 16 yrs. younger then Tess. Nina is 8 yrs.older then Kate. The sum of their ages is 189. How old is each?
Answered by Penny Nom.
A word problem involving fractions 2014-01-23
From Pamela:
John put 1/4 of his flowers in a vase
He gave 1/2 to of the flower to his wife
He gave 1/5 of the flowers to his daughter
He has 8 flowers left
How many flowers did John start with

Answered by Penny Nom.
Reducing the area of a parking lot 2014-01-19
From Robin:
The school is reducing the area of its 20yd by 50yd parking lot by removing a strip at one end of the parking lot and another strip of the same width from one side. The new area of the parking lot is 504 said yes. Find the width of the removed strip
Answered by Penny Nom.
Mixing water and wine 2014-01-19
From manish:
a man mixes three part of water to one part of wine.When he consumes one part of mixture he realise that the drink is too dilute and hence adds one part of wine to the remaining quantity what is the ratio of water to wine in the new mixture.
Answered by Penny Nom.
Mark's books 2014-01-18
From Jason:
Mark has 312 books in his bookcases he has 11 times as many fiction books as nonfiction books how many fiction books does mark have?

26
212
286
301

Answered by Penny Nom.
$9.50 in coins 2014-01-15
From dana:
you have $9.50 in coins. it has twice as many nickels as quarters and three times as many dimes as nickels. how many of each coin do you have?
Answered by Penny Nom.
Five cubes 2014-01-15
From Bob:
Rick has five cubes. When he arranges them from smallest to largest, the difference between the heights of any two neighbouring cubes is 2 cm. The largest cube is as high as a tower built from the two smallest cubes. How high is a tower built from all five cubes?
Answered by Penny Nom.
Watching a bouncing ball through a window 2014-01-15
From Bob:
A ball falls from the roof, at a height of 10m. After each impact on the ground it bounces back up to 4/5 of its previous height. How many times will the ball appear in front of a rectangular window whose bottom edge is at a height of 5m, and whose top edge at a height of 6m?
Answered by Penny Nom.
Radio direction finders 2014-01-09
From Nathan:
Radio direction finders set up two points A and B, which are 2.5 miles apart on an east-west line. From A, it is found that the bearing of a signal from a radio transmitter is N36.33 degress E, while from B the bearing of the same signal is N53.67 degrees W. Find the distance of the transmitter from B.
Answered by Penny Nom.
Two tuna boats 2014-01-09
From amanda:
Two tuna boats start from the same port at the same time, but they head in opposite directions. The faster boat travels 10 knots per hour faster than the slower boat. At the end of 8 hours, they were 272 nautical miles had each boat traveled by the end of the 8 hour period?
Answered by Penny Nom.
4 children 2013-12-31
From hope:
4 children; Peter is 7 years old & is 4 years younger than Dave. Dave is 9 years older than Paul. Paul is 11 years younger than Frances. Please list the children in order from oldest to youngest?! thank you and anxiously await your answer, Hope
Answered by Penny Nom.
A word problem 2013-12-08
From Malissa:
I am attempting to help my son with his math word problem, please help thank you .

Kylie and Ethan kept scrapbooks of their grandfather's stories from world war II. Kylie has 6 more than half the number of pages Ethan has. If Kylie has 21 pages in her scrapbook, how many pages are in Ethan's scrapbook?

Answered by Penny Nom.
Problem solving with fractions 2013-12-03
From Jennie:
Paul has 2/3 as many postcards as Shawn. Shawn has 3/5 as many postcards as Tim. If the 3 boys have 280 postcards, how many more postcards does Tim have than Paul?
Answered by Penny Nom.
People on a bus 2013-11-28
From jeric:
3/10 of the passenger in a bus were men, 2/7 of the remainder were women and the rest were children, if there were 50 passengers in the bus, how many more children than women were there?
Answered by Penny Nom.
Problem solving 2013-11-26
From Moira:
Amy has £5 more than Ben. Ben has twice as much as Chris. In total they have £20 how much do they each have
Answered by Penny Nom.
Three roommates share the rent 2013-11-23
From Cortlin:
Because of different bedroom sizes, three roommates decide to split the rent this way: Roommate A pays 75% as much as B does, and C pays 40% as much as B does. What fractional part and percent of the rent does each roommate pay?
Answered by Penny Nom.
A ratio problem 2013-10-31
From indu:
students of a school have been into 2 groups in the ratio 6:11, if the group has 870 students, how many students are there in all the school?
Answered by Penny Nom.
Tim is standing in a hole 2013-10-23
From Marvel:
Tim is standing in a hole that is 4 feet deep. Ben asks him how much deeper is he going to dig the hole. Tim replies he will dig to the level that is 4 feet 2 inches deeper and that then the top of his head will be the same distance below ground level that it is now above. How tall is Tim?
Answered by Penny Nom.
Together, Tom and Max have 72 football cards 2013-10-21
From Maureen:
Together, Tom and Max have 72 football cards. Tom has 2 more than 4 times as many cards as Max has. How many football cards does Tom Have?
Answered by Penny Nom.
Peter bought pizza and drinks 2013-10-19
From sd:
Peter spent $30 on pizza and 3/4 of the remainder on drinks. He has 2/9 of the original amount left. How much had he at first?
Answered by Penny Nom.
What the dog weighs 2013-10-17
From linda:
Sam has a dog and rabbit together they weigh 104 lbs the dog weighs 12 times more then the rabbit what is the dogs weight
Answered by Penny Nom.
Two bikers race on a circular track 2013-10-03
From bryan:
two bikers race on a circular track. biker a can circle the track in 8 minutes, and biker b can circle the track in 6 minutes. From the start of the race, how many minutes will it be before biker b overtakes biker a.
Answered by Chris Fisher.
Problem solving 2013-10-02
From naomi:
My son having trouble a math problem please help with this question a bag of cough drops contains 36 drops. the fraction of each flavor is shown in the table strawberry 5/12 honey 1/12 cherry 1/6 mint1/9 and lemon 1/4 which flavor is the greast in the bag
Answered by Penny Nom.
A pool, a school, a park and home 2013-09-24
From Selena:
The distance from the park to the pool is the same distance as the distance from your house to school. The school is between the pool and your house. Prove that the distance from the park to the school is the same distance from the pool to your house.
Answered by Robert Dawson.
A sequence of operations, in order 2013-09-20
From jen:
multiply 46x23
add 342
divide by 70
subtract 5
I not sure what the answer is..i need to know the answer..thanks..

Answered by Penny Nom.
A concrete walk around a pool 2013-09-18
From poornima:
circular Swimming pool is surrounded by a concrete walk 4 feet wide, if the area of the walk is 11/25 of the area of the pool, then the radius of the pool in feet is
Answered by Penny Nom.
A garden path 2013-09-06
From mary:
garden path has 8 white slabs, four of the slabs are one third grey, what area of the path is grey
Answered by Penny Nom.
A word problem 2013-09-05
From Thomas:
I'm trying to help my 9th grade child with their homework. The problem is the Length of a rectangle is twice as long as it is wide. The perimeter is 68m. Find It's length and width
Answered by Penny Nom.
A two digit number 2013-09-04
From JEFFERSON:
The sum of the digits is 6. When the digits are interchange, the new number represented is 3 time the 10 digit of the original number. Find the original number?
Answered by Penny Nom.
How many nickles do you have? 2013-09-04
From Monica:
You have 15 more dimes than nickels. If you have $2.55, how many nickels do you have?
Answered by Penny Nom.
Golden Ratio 2013-08-26
From Mark:
Please Help. I'm trying to help my Child and I have no clue on this math question.

Rectangular shapes with a length to width ratio of approximately 5 to 3 are pleasing to the eye. The ratio is know as the golden ratio. A designer can us the expression 1/3(5w) to find the length of such a rectangle with width 6 inches.

Answered by Robert Dawson and Penny Nom.
A mixture problem 2013-08-11
From MJ:
How many liters of pure acetic acid must be mixed with 3 liters of a 30% acetic acid to obtain a mixture of 65%?
Answered by Penny Nom.
A mixture problem 2013-07-29
From Lucy:
Hi, For the following question:

Ten pounds of mixed nuts contain 50 percent peanuts. How many pounds of peanuts must be added so that the final mixture has 60 percent peanuts?(A) 2.5 (B) 5 (C) 6 (D) 10 (E) 12.5,

my math book gives my the following explanation: Try choice (C): 6 pounds of peanuts. The original 10-pound mixture contained 50 percent peanuts, or 5 pounds. Now you have 11 pounds of peanuts in a 16-pound mixture, more than 60 percent. This result automatically eliminates choices (D) and (E) as well.Why would this result automatically rule out D and E? How can you tell? Thank you for taking the time to answer my question.

Answered by Robert Dawson and Penny Nom.
A word problem 2013-07-29
From Gontsejalo:
Your firm held a dance competition. 900 people attended the dance competion.The cost of admission was 20rand per person and 30,50rand per couple.Twice as mant 20rand tickets as 30,50rand tickets were sold.find the amount of money obtained from the tickets sales
Answered by Penny Nom.
Ann has a bag of marbles. 2013-07-25
From Carmen:
Ann has a bag of marbles. she gave one half to her friend Tina and then one third to her friend Tom. Now left with 15. How many did she had originally?
Answered by Robert Dawson and Penny Nom.
150 litres has been drawn from a tank 2013-07-14
From henry:
When 150 litres has been drawn from a tank, it is 3/8 full, how many litres will the tank hold?
Answered by Penny Nom.
Diego and his dog 2013-07-09
From William:
john went hunting and walked at a speed of 4 km/h. one hour later, Diego and his dog went to meet john with a speed of 6 km/h and the dog was running between john and diego until they meet up with a speed of 18 km/h. After Diego meets john, how much distance did the dog run?
Answered by Penny Nom.
Two numbers whose difference is 16 2013-06-08
From Johan:
Two numbers whose difference is 16 and whose sum is 120
Answered by Penny Nom.
The percentage of fat in a container of yogurt 2013-05-17
From Katy:
There is a question that I' having trouble with. It says: "A container of yogurt contains 228 g of water, 54 g of carbohydrates, 12 g of protein and 6 g of fat, what percentage of the yogurt is fat?" How do you convert 6 g into percentage?
Answered by Penny Nom.
A word problem 2013-05-03
From Shaneaya:
Keikio spent the day bird watching and counted 34 more birds in the morning than in the afternoon. If she counted a total of 76 birds, how many birds did she count in the afternoon?
Answered by Penny Nom.
The dimensions of a rectangle 2013-03-19
From stephanie:
the length of a rectangle is 5m more than twice its width, and the area of the rectangle is 88m^2 find the demensions of the rectangle
Answered by Penny Nom.
If 4 cooks can bake 8 pies in 6 hours????? 2013-03-18
From Kenneth:
Hello:

I want to determine which quantities are directly and inversely proportional in order to determine the answer for the following:.

If 4 cooks can bake 8 pies in 6 hours, 2 cooks can bake how many pies in 4 hours?

Answer: 2 2/3 pies

Can someone fully explain what I need to know in order to determine what is directly and inversely proportional in the example above?

I thank you for your reply.

Answered by Robert Dawson.
Driving a rental car 2013-03-13
From teresa:
Driving a rental car x miles cost y= 0.25x + 25 dollars.

(a) How much would it cost to rent the car but not drive it?
(b) How much does it cost to drive the car 1 additional mile?
(c) What is the y-intercept of y= 0.25x + 25? What does it represent?
(d) What is the slope of y= 0.25x + 25? What does it represent?

Answered by Penny Nom.
100 animals 2013-02-25
From Jessica:
You have exactly $100.00 to spend. You must get 100 animals.
The chicks cost $0.10 each.
The pigs cost $2.00 each.
The sheep cost $5.00 each.
You must get some of each animal.
How many of each animal can you get?

Answered by Penny Nom.
A trig word problem 2013-02-18
From Amy:
Susan notices an unusual rock formation at an angle of 30 degrees to the right of her direction of travel as she is white water rafting. as she continues in a relatively straight path for 20 m, the rock formation appears to be at 45 degrees to the right. she cotninues until the rock formation is directly to her right. how far is she fromt he rock formation?
Answered by Penny Nom.
Chocolate bars and puzzles 2013-02-15
From sandy:
Alan bought a box of puzzle and two bar of chocolate for $28.
Jan bought 3 boxes of puzzle and a bar of chocolate similar to Alan for $69.
a) Find the cost of a box of puzzle
b) Find the cost of a bar of chocolate

Answered by Penny Nom.
A word problem involving toys 2013-02-14
From sandy:
Each boy gets 5 toys.Each girl gets 3 toys.There are 150 pupils.
The boys had 74 more toys than girls.
How many boys?
How many girls?

Answered by Penny Nom.
The height of an aerial 2013-02-12
From ASIT:
A vertical aerial stands on a horizontal ground. A surveyor positioned due east of the aerial measures the elevation of the Top as 48 degree. He moves due south 30metre and measure the elevation as 44 degree. determine the height of the aerial
Answered by Penny Nom.
A cubical shipping container 2013-02-12
From Chantel:
The length, width and height of a cubical shipping container are all decreased by 1.0 ft, thereby decreasing the volume of the cube by 37 ft3(feet-cubed) What was the volume of the original container? (recall: volume of cube with a side length x=x3) Define the variable, write a quadratic equation and solve by factoring.
Answered by Penny Nom.
Brian is x years old 2013-02-06
From Sabrina:
Brian is x years old.
Peter is 4 years older than Brian.
Amy is 2 years younger than Brian.
The total of their ages is 26 years.
Work out the value of x.

Answered by Penny Nom.
The area of a rectangle 2013-01-29
From Bali:
if the length of the rectangular field is decreased by 5m, its area is decreased by 70 sqm. if the width is increased by 6m, the area is increased by 180 sqm. determine the length and width of the rectangular field?
Answered by Penny Nom.
We have 2 teams of 6 couples each that play 6 games 2013-01-25
From Denise:
We put together a game night where we have 2 teams of 6 couples each that play 6 games. We haven't been able to figure out an arrangement that allows each couple to play each game with a different couple from the opposite team (i.e. Team A couples play every game with a different couple from Team B). Is this possible? It works with 2 teams of 5 couples each.
Answered by Chris Fisher.
Use 9,10,6,8, and 4 to make 10 2013-01-25
From Able:
How do you calculate using BEDMAS 9,10,6,8,4 to equal 10
Answered by Penny Nom.
A geometry word problem 2013-01-24
From Matthew:
"G", "A" and "B" are collinear. "A" is between "G" and "B". "GA" Is 14 less than 3 times "AB". "GB"=46 Find "GA"

How would you solve this?

Answered by Penny Nom.
How many students have neither brown hair or hazel eyes? 2013-01-20
From Julie:
There are 28 students in a class. 15 have brown hair, 17 have hazel eyes, and 10 have both. How many students have neither brown hair or hazel eyes?
Answered by Penny Nom.
Maximize profit 2013-01-19
From Chris:
A firm has the following total revenue and total cost function.
TR=100x-2x^2
TC=1/3x^3-5x^2+30x
Where x=output
Find the output level to minimize profit and the level of profit achieved at this output.

Answered by Penny Nom.
A balance puzzle 2013-01-14
From Emily:
I'm stuck on this problem and feel that it can't work! The problem is: there is a door with a balance scale on it. In order to open the door, you have to use the 5 weights to balance the scale. On the left side you have 2 boxes to place the weights and on the right side you have 3. You're 5 weights are as follows: 1lbs, 2lbs, 3lbs, 4lbs, 5lbs. How do you place the weights so that the scale is balanced?
Answered by Penny Nom.
A triangular island 2012-12-29
From Udit:
A long time ago Mr Gibson found an island shaped as a triangle with three straight shores of length 3 km,4 km and 5 km. He declared an 'exclusion zone' around his island and forbade anyone to come within 1 km of his shore. What was the area of his exclusion zone?
Answered by Penny Nom.
Increasing the size of a gift box 2012-12-27
From Tehmas:
The dimensions of a gift box are consective positive integers such that the height is the lowest integer and the length is the greatest integer. If the height is increased by 1cm, the width increased by 2 cm, and the length increased by 3 cm, then a larger box is constructed and the volume is increased by 456 cm^3. Determine the dimensions of each box.
Answered by Harley Weston.
A parabolic bridge 2012-12-09
From Elizabeth:
1) The figure below shows a bridge across a river. The arch of the bridge is a parabola and the six vertical cables that help support the road are equally spaced at 4-m intervals. Figure B shows the parabolic arch in an x-y coordinate system, with the left-end of the arch at the origin. As indicated in Figure B, the length of the leftmost cable is 3.072 m.

I'm suppose to find the (x-h)^2=-4a(y-k) equation for this word problem and I really do not know where to begin.

Afterwards, I need to find the lengths of the other cables and the maximum height of the arch of the road as well which I am very confused about

Answered by Penny Nom.
Mark has 312 books 2012-12-07
From paul:
Mark has 312 books. He has 11 times as many fiction books as non fiction books. How many fiction books does he have?
Answered by Penny Nom.
A function problem 2012-11-18
From nahla:
f: IN --> IN
n --> f(n)
for every n that belongs the IN : fof(x) = 4n - 3
and for every n that belongs to IN f(2^n) = 2^(n+1) -1

Calculate f(993)

Answered by Penny Nom.
A path around a pond 2012-11-16
From bailey:
hi there,
A circular pond is surrounded by a path 1 metre wide. The area of the path is 1/4 of the area of the pond.
Find the radius of the pond.

Thanks

Answered by Penny Nom.
How much should I price the earrings? 2012-11-13
From Sharon:
I want to sell some earrings and make a $12.00 profit on them I have to pay a 35% commission on them. How much should I price the earrings?
Answered by Penny Nom.
What's your secret? 2012-11-11
From ryan:
Tuscan school has a fair. At the fair, Pia plays "what's your secret? The game starts with 3 players who are told the same secret. Each of those 3 players tells another 3 player, and so on. At the end of the 3rd round, everyone who knows the secret will compare what they have heard. What number in exponent form represents the number of people who know the secret after 3 rounds? How many people is that?

Thank you very much.

P.S. I got 3 cube. which is 27

But when i map it out I end up with 39.

Answered by Penny Nom.
Joe and Chris each bought a six pack of cola 2012-11-01
From Loulou:
Joe and Chris each bought a six pack of cola. Joe gave 2/3 of his away and Chris gave half as many as Joe. how many more colas did Chris have than Joe
Answered by Penny Nom.
Filling a box with wood chips 2012-10-31
From lee-Anne:
Each bag of wood chippings will fill 4m3 how bags would be needed?
Volume of box is 572 cm3
L=11CM
W= 6.5CM
H=8CM

Answered by Penny Nom.
Frosting a three layer cake 2012-10-30
From johnathan:
Each layer of a 3 layer cake is a cylinder with height 7.5 cm. The bottom layer has diamegter 25 cm. The middle layer has dimegter 22.5 cm. The top layer has diameter 20 cm. The surface of the cke is frosted. What area of the cake is frosted. I get 1695.56 but the answer in the book is 2081.3
Answered by Penny Nom.
birdhouse in the shape of a rectangular prism 2012-10-29
From Tiffany:
Hello, I am Tiff M. from NYC.
I was solving a math problem about adding,subtracting,multiplying or dividing fractions and mixed numbers. I am not getting this question below.
* Laura is building a birdhouse in the shape of a rectangular prism. The base of the birdhouse has an area of 5 square inches. The height of the birdhouse is 2 7/12 inches. Laura calculated the volume of the bird house to be 10 7/12in. Is she correct?
If not, what did she do wrong?

Answered by Robert Dawson.
Forming an algebraic expression 2012-10-27
From ashley:
A sidewalk has a constant width W and comprises several short sections having lengths 12, 14,and 10 feet. How do I find the simplified expression that gives the number of square feet of sidewalk?
Answered by Penny Nom.
Whites and Sulphurs butterflies 2012-10-19
From Arlene:
The Whites and Sulphurs are one major family of butterflies. There are about 720 varieties. Eleven times more Whites and Sulphurs live outside North America, mostly tropical Asia and Africa, than live inside North America. How many of this family of butterflies live in North America? How many live in the rest of the world?
Answered by Penny Nom.
Walking home from school 2012-10-15
From margie:
My sister can walk from school to home in 40 minutes. I can walk from school to home in 30 minutes. Today I stayed for some extra help, and my sister was already 2/5 of the way home when I started. If I walk at my usual speed, can I catch my sister before she gets home? If yes exactly what fraction of the trip have we covered when I catch her? If no exactly what fraction of the trip have I covered when my sister gets home?
Answered by Penny Nom.
A four digit number 2012-10-09
From cyndi:
find this 4 digit number: the tens digit is 1/3 of the hundreds digit; the 2 digit number formed by the tens and ones digits i the largest prime number smaller than 40; the sum of all 4 digits is the same as the number of face on an icosahedron ? what is the number?
Answered by Penny Nom.
A problem that yields a linear equation 2012-10-07
From Eshraj:
one fourth of a whole number is three more than one fifth of the next whole number.find the whole number
Answered by Penny Nom.
How many oranges? 2012-10-06
From Rodger:

Question from Rodger, a teacher:

How Many Oranges?
Marjorie, Colleen, and Bob picked oranges together. They were tired after picking a large number of oranges and so fell asleep. Marjorie woke first and decided to take her third of the oranges and head home. She counted the oranges, and found that the number was divisible by 3 if she took one of the oranges first. Marjorie took one orange and then took one-third of the remaining oranges. She left quietly.
Bob awoke a short time later, noticed that Colleen was sleeping, and presumed Marjorie had gone for a walk. He decided to head home because he wasn't feeling well. Not realizing that anyone had left, he counted the oranges and found that the number of oranges was two more than a number that could be easily divided by 3. So he took the two extra oranges and then one-third of what was left. He left without waking Colleen and without waiting for Marjorie to return.
Colleen finally awoke and wondered where her friends had gone. She assumed they were both busy somewhere nearby. Before she left, she counted the oranges and was surprised at how small the number was. She found that the number of oranges was one more than a multiple of three, so she took the extra orange and one third of those remaining.

1. What was the total number of oranges the friends picked?
2. How many oranges were left behind when Colleen departed?
3. Is more than one answer possible for the total number of oranges? If so, what other numbers are possible? Explain.
4. Based on the values you found in problem 3, determine a reasonable solution to the problem. Explain your answer.
5. Is it possible that five oranges remained after Colleen took her share? Explain.
6. Could there have been six oranges left after Colleen departed? What about 46 oranges initially? Explain
7. Find a pattern that gives all the possible numbers of oranges that the friends picked. Explain your pattern

5. Is it possible that five oranges remained after Colleen took her “share”? Explain. 6. Could there have been six oranges left after Colleen departed? What about 46 oranges initially? Explain 7. Find a pattern that gives all the possible numbers of oranges that the friends picked. Explain your pattern

Answered by Penny Nom.
The dimensions of a rectangle 2012-09-12
From Becky:
A rectangle has an area of 48 square inches and perimeter of 32 inches. Find the dimensions of the rectangle.
Answered by Penny Nom.
A 2-digit number 2012-08-23
From patty:
Write the 2-digit number that matches the clues. My number has a tens digit that is 8 more than the ones digit. Zero is not one of my digits. My number is
Answered by Penny Nom.
Kirkman schoolgirl problem 2012-08-18
From Anthony:
need to have the number from 1-15 in 6 rounds of 3 numbers without the numbers be repeating in the same row . eg round 1
1 2 3
4 5 6
7 8 9
10 11 12
13 14 15

2nd round
1 4 7
10 13 2
5 8 11
14 3 6
9 12 15
Answered by Chris Fisher.

Problem solving 2012-08-15
From Sugavanas:
If length of a rectangle exceeds its width by 5 m. if the width is increased by 1m and the length is decreased by 2 m, the area of the new rectangle is4 sq m less than the area of the original rectangle. Find the dimensions of the original rectangle.
Answered by Penny Nom.
A 4 digit number 2012-08-09
From May:
The number is given as ABCD. The first digit is a quarter of the last digit. The second digit is one less than the first digit. When the number ABCD is multiplied by four its digits appear in the reverse order. None of the digits are the same. What is the number. Pleas help because my child need help and I can not do this. Thank you.
Answered by Penny Nom.
The difference between two numbers is 7. 2012-08-09
From May:
The difference between two numbers is 7. When the two numbers are multiplied the answer is 60. How do I work out the two numbers,I tried solving for one unknown and substitution and can not do it. Pleas show me how to do this.
Answered by Penny Nom.
A garden in the back yard 2012-08-04
From Lucy:
Your boss says that his wife has put an 18 × 51 foot garden in along the whole back end of their back yard. He says that this has reduced the back-yard lawn area by 24%. What are the total dimensions of his back yard? What are the dimensions of the remaining lawn area? I found this question on purplemath(http://www.purplemath.com/modules/percntof3.htm). I still don't understand how to solve it. Can you walk me through the process please? Thank you in advance for taking the time to answer my question.
Answered by Penny Nom.
John's electronic store 2012-07-25
From Jora:
Electronic Store John opened an electronic store in December. During his first month, He sold 10 LCD TVs and 20 Plasma TVs. His income during that month was $12800. In January, he sold 25 LCD TVs and 40 Plasma TVs for an income of $27600. In February he projects to sell 30 LCD TVs and 50 Plasma TVs. If John expenses are $28900 in February, how much money will he have after paying the expenses?
Answered by Penny Nom.
Romeo and Juliet live 40 miles apart 2012-05-18
From Abigaíl:
Romeo and Juliet live 40 miles apart. Romeo jogs 8mph, while Juliet “fast walks” at 4mph. They leave their houses at the same time and journey toward each other.
a) How many hours after they start will they meet?
b) Approximately how many miles from Romeo’s house is their meeting point?

Answered by Penny Nom.
Math, time and rate 2012-05-18
From Abigaíl:
Romeo and Juliet live 40 miles apart. Romeo jogs 8mph, while Juliet “fast walks” at 4mph. They leave their houses at the same time and journey toward each other.
a) How many hours after they start will they meet?
b) Approximately how many miles from Romeo’s house is their meeting point?

Answered by Penny Nom.
Cycling and running 2012-05-07
From liz:
a biathlete travels 20 miles in 2.25 hours. She cycles part of the way at 12 mph and runs the rest at 5 mph. How far did she run?
Answered by Penny Nom.
A puzzle with a triangle and 57 2012-04-25
From sharon:

Question from sharon, a parent:

We have been battling with this for days and cant find any solution -

Using each of the following numbers once, fill all the spaces in the triangles so that each side of the triangle adds up to 57

numbers are 11,12,13,14,15,16,17,18,19

diagram is -

      0      
    0   0    
  0   57   0  
0   0   0   0

 

Any ideas ? this has to be in in just over 24 hrs ......help!


Answered by Chris Fisher.
Gray siding and stone chimneys 2012-04-22
From lupita:
Fifty houses are on the north side of a river. The 2nd house has gray siding, and every 5th house after that also has gray siding. The 11th house has a stone chimney; every 3rd house after that also has a stone chimney. How many of the 50 houses have stone chimneys but do not have gray siding?
Answered by Penny Nom.
What was the class average? 2012-04-20
From olwale:
a class which consist of 15 boys and 10 girls sit for a test. the average score of the boys is 20 and the girls' is 25. find the average score of the class.
Answered by Penny Nom.
5 machine make 5 gadgets in 5 minutes 2012-04-20
From Charles:
5 machine make 5 gadgets in 5 minutes,
so how long does it take for 100 machines make 100 gadgets?

Answered by Penny Nom.
A maximization problem 2012-04-09
From Nancy:
After an injection, the concentration of drug in a muscle varies according to a function of time, f(t). Suppose that t is measured in hours and f(t)=e^-0.02t - e^-0.42t. Determine the time when the maximum concentration of drug occurs.
Answered by Penny Nom.
Water is flowing from tank A to tank B 2012-04-06
From Noel:
At First, Tank A was completely filled with water. The tap from Tank A was then turned on and water flowed out at a constant rate. The water which flowed out was collected into Tank B. At the end of 6 minutes, Tank A was 2/3 full. After a further 8 minutes, Tank A had 2.4 liters of water left while Tank B was completely filled with water. Find the capacity of Tank B.
Answered by Penny Nom.
A 12 foot long board 2012-04-05
From Lesley:
If I have a board 12 feet long and am building shelves 2 1/4 feet in length, how many inches are left?
Answered by Jaymi Peterson and Penny Nom.
A steamroller with a 3 foot diameter and a 6 foot width makes 20 revolutions 2012-03-21
From Robert:
A steamroller with a 3 foot diameter and a 6 foot width makes 20 revolutions. How much ground area does it pave?
Answered by Penny Nom.
Remainders 2012-03-18
From Leslie:
Question: Janice has some marbles. When she divides them into groups of 4, she has 2 marbles left over. If she divides them into groups of 5, she will also have 2 left over. What is the least number of marbles she can have?
Answered by Penny Nom.
Buying school supplies 2012-03-09
From Jada:
Hi, my daughter is having difficulties with a problem she is in the 5th grade, and insisted that it was a guess and check problem, but she really doesn't understand, and I don't either. Can you help us out?

Danielle is buying school supplies. She has $7.25 to spend.
Notebook: $0.75
Pencils: $1.95
Pens: $2.50
Planner: $5.00
Please help by explaining the guess and check strategy for a problem like this. Thank you.

Answered by Penny Nom.
A clock takes 3 seconds to strick the hour of 3 o'clock 2012-03-09
From saptarshi:
[ A clock takes 3 seconds to strick the hour of 3 o'clock. How many seconds will it take to strick 9 o'clock?]
Answered by Robert Dawson.
Tina is older than Catherine by 1 year and 7 months 2012-03-03
From jennifer:
Tina is older than Catherine by 1 year and 7 months. Karen is younger than Tina by 2 years and 11 months. If Karen is 7 years and 2 months old, find out Catherine's age.
Answered by Penny Nom.
Mr. Schneider's mass 2012-02-29
From Khiya:
Mr. Schneider's mass is 2 digits. The first digit is 3 times the second digit. Both digits are odd numbers, and his mass is greater than 35 kg. What is Mr. Schneider's mass?
Answered by Penny Nom.
The 10000th day of her life 2012-02-21
From derrick:
Ella was born early in the morning on a Friday.She got married on the 10000th day of her life. What day of the week was it?
Answered by Penny Nom.
Tim sells 6 times as many oranges as apples 2012-02-20
From Bronwen:
Tim sells 6 times as many oranges as apples. If he sell 490 in total one morning, how many of each type were sold?
Answered by Penny Nom.
Demarkus is paving a new driveway 2012-02-19
From Anita:
Demarkus is paving a new driveway for a local YMCA volunteer club. The driveway is 90 yards long and 6 yards wide. If the concrete cost $2.50 per square foot, how much will it cost Demarkus to cover the driveway?
Answered by Penny Nom.
Margie threw a ball 2012-02-16
From mary:
at 9:45 Margie threw a ball upwards while standing on a platform 35ft above the ground. The height after t seconds follows the equation: h(t)= -0.6t^2 +72t+35
a) what will be the maximum height of the ball?
b)how long will it take the ball reach its maximum height??

Answered by Harley Weston.
Figures with dots 2012-02-15
From A:
Okay so my daughter came home and had this question for homework from her teacher. I have no idea what it means HELP!!
The question shows a figure that is a square. It has 5 dots on the top, bottom and on the sides looks similar to this:
. . . . .
.       .
.       .
.       .
. . . . .
they want to know 3 more ways to show the number of dots in the figure. They have already shown one with just counting them and the other one that they showed was circling the four corner dots and then taking the dots in between with a number sentence set up like this: 4+4*(5-2) = 4+4*3= 16. They also besides giving 3 ways want us to write a number sentence and an algebraic sentence to show the number of dots in the figure with "n" sides. Please help! So confusing ! I don't know if my square turned out or not but it should be 5 across the top and bottom and on the sides and no dots in teh middle it is just the outside.

Answered by Penny Nom.
A word problem 2012-02-15
From Bo:
Jane guessed a number. Tom guessed a number that was double the sum of 1 more than twice the number guessed by Jane. Sum of the numbers guessed by both were 27, what are the numbers?
Answered by Penny Nom.
A 3 to 1 ratio of girls to boys 2012-02-12
From amanda:
At a recent school dance it was observed that there was a 3 to 1 ratio of girls to boys. If 204 students attended the dance, how many boys, and how many girls were there?
Answered by Penny Nom.
A two digit number 2012-01-29
From Christine:
Five times the sum of the digits of a two digit number equals the number. If the digits are reversed, it becomes nine more than the original number. What is the original number? I really don't understand this question, help me please
Answered by Penny Nom.
Today is Emma's Birthday. 2012-01-25
From Mike:
Today is Emma's Birthday.
Emma's mother is four times as old as Emma is today.
In four years, Emma's mother will be three times as old as Emma.
How old is Emma today?

Answered by Penny Nom.
Four pizzas 2012-01-23
From kris:
a pizza company wishes to put 4 medium pizzas in a box to sell as a party pack. The box they want to use the square and has dimensions of 60cm by 60cm. They need you to help them calculate the dimensions of the pizza that will fit in the box. Calculate the following: area, radius, diameter, circumference
Answered by Penny Nom.
A problem in logic 2012-01-19
From Ghader:
The puzzle below I know the answer to; because someone told me! My question is: how could I answer it using logic, maths, etc. what field of inquiry does this kind of problem fall into? Puzzle: You are in a room with two men: one is a compulsive liar and the other is a compulsive honest. There are two doors: one leading to heaven, the other to hell. The two men know which door leads to where. You want to go to heaven but are allowed only ONE question from one or the other of the two men. What would that question be? [The question to ask, from either man, is: "if I asked the OTHER man which door leads to heaven, which door would he point?". You would then choose the other door.] Has this answer got any basis in logic or maths at all?
Answered by Robert Dawson.
Four apples and two oranges cost Rs. 30... 2012-01-13
From nasr:
Four apples and two oranges cost Rs. 30, and one apple and 3 oranges costs Rs.15.How much does each apple and each oranges cost?
Answered by Harley Weston.
A picture in a frame 2012-01-10
From nnadozie:
a picture, which measures 46cm by 38cm, is surrounded by a frame, which is 2cm wide, find the area of the frame.
Answered by Penny Nom.
Designing aluminum cans 2012-01-08
From swathi:
A company manufactures aluminum cans. one customer places an order for cans that must be 15 cm high, with a volume of 1200cm cube.

a) use the formula V= pie r squared h to determine the radius that the company should use to manufacture these cans

b) graph the function that corresponds to 0 = pie r squared h minus V to determine the radius.

Answered by Penny Nom.
A wire spiral 2012-01-07
From Pinar:
I am trying to help my daughter with very challenging maths questions which sometimes I get stuck If someone help me with one of them I would appreciate it.

Jane is making a spiral out of wire. She bends the wire after 1 cm, then bends the wire after 2cm, then 3cm and continues in this manner. After 4 bends she used 15 cm of wire For each bend how many cm wire was used? After 6 bends how many cm wire will she have used? How many bends will she have made if she uses 66 cm of wire?

I would appreciate if somebody would help me with this.

Thank you!
Pinar

Answered by Penny Nom.
Two trains passing each other 2011-12-07
From Tamkeen:
two trains 245m and 315m long are travelling toward each other at 90km/h and 54km/h respectively on parallel lines . how long do the train take to pass one another train the time they meet each other?
Answered by Penny Nom.
Squares and triangles 2011-12-06
From Liaqath:
You have squares and triangles.
Altogether there are 33 sides.
How many squares do you have?
How many triangles do you have?

Answered by Penny Nom.
What is the altitude of the balloon? 2011-12-04
From C:
Chelcy and Jorgeare 2.32 miles apart. The observe a hot air balloon directly overhead between them Chelcy's angle of elevation is 28 degrees. Jorge's Angle of elevation is 37 degrees. What is the altitude of the balloon?
Answered by Penny Nom.
A suspension bridge 2011-11-30
From jennifer:
suspension bridges like the golden gate bridge, are used to span large distances. when the main curved cables are attached to the deck by vertical cables they will end up in the shape of parabola. assume that we need to build a bridge that spans 2,400 feet. the two towers 165feet tall each where placed at 400feet from either side. the lowest point of the center of the bridge at 10feet. vertical suspension cables where placed at 25foot interval. how many feet of cable are needed to connect the deck to the main cables between the two towers? show all working.
Answered by Penny Nom.
Four carpenters can build eight houses in 10 days. 2011-11-23
From Kenneth:
Four carpenters can build eight houses in 10 days. Two carpenters can build how many houses in 15 days?
Answered by Penny Nom.
The dimensions of a rectangle 2011-11-11
From Ivan:
The length of a rectangle is 31 centimeters less than five times its width. Its area is 72 sq centimeters. Find the dimensions of the rectangle.
Answered by Penny Nom.
3 fish 2011-10-27
From Ann:
You have 3 fish weighing a total of 21 lbs. The largest fish weighs twice as much as the second fish and the third fish weighs half the amount of the second fish. So how much does the third fish weigh?
Answered by Penny Nom.
The end of a swimming pool 2011-10-17
From Jim:
"The end of a swimming pool is a rectangle inclined 45° to the horizontal. The edge at the surface is 12 feet long and the submerged edge is 10 feet long.

Could you draw a diagram for me ? I don't understand the Problem.

Answered by Penny Nom.
One central circle and three tangent circles 2011-10-16
From Margaret:
You have one central circle and three or more circles tangent to the outside of the circle of varying radii. You know the x,y coordinates of the centers of the other circles. If you now remove that central circle (and pretend you never knew where it was), can you calculate its center in x,y coordinates?
Answered by Chris Fisher.
Expanding the size of a table 2011-10-16
From Ericka:
You are working as a carpenter in an industrial Shop. A customer came to you and inquired about the size of the table which would be fitted in her room. She informed you that she had already a 1.5 x 1m table in her room but she wanted to maximize the space by adding the same amount to is length and width. She is planning to occupy a 3 square meter place on her room for her to work comfortably. She is requesting you a written recommendation before she asked to make a table. What amount should be added to both sides to maximize a 3 square meter area?
Answered by Penny Nom.
Twice an even number 2011-10-10
From Ron:
The number of dollars that Tracy has in her pocket is an odd number. Hal gave Tracy $2 more than she already had in her pocket. The number of dollars Tracy now has cannot be _________.
a) $60 b) $62 c) $64 d) 68

Answered by Penny Nom.
What is the speed of the boat in still water? 2011-10-07
From Hannah:
The speed of a stream is 3 mph. A boat travels 10 miles upstream in the same time it takes to travel 16 miles downstream. What is the speed of the boat in still water
Answered by Penny Nom.
Three consecutive odd integers 2011-10-07
From Muneera:
Find 3 consecutive odd integers so that 3 times their sum is 5 more than 8 times the middle one?
Answered by Penny Nom.
Linear equations 2011-10-06
From Hannah:
I am confused about a question on my homework, here is an example on what I need to do:

You own a sightseeing boat tour. Kids' admission costs $5, adults' admission costs $8. During that day you get (made-up number) $521 with 71 admissions. How many of each passenger boarded?

I tried something like
5x + 8y = 521
x + y = 71

But, I still don't understand how to solve it! Help?

Answered by Penny Nom.
Three men sharing a task 2011-09-27
From Olaniyan:
Three men do a piece of work, the first does 7/15, the second does 5/6 of the remainder while the third does the rest.if the rest done by the third person equals 24 units, find the whole piece of work?
Answered by Penny Nom.
90 cm of pipe 2011-09-26
From margie:
A 90cm pipe is cut into two pieces so that one pieces is 6cm shorter than the other. how long was each piece?
Answered by Penny Nom.
A tank is 3/8 full 2011-09-24
From Olaniyan:
When 150 liters has been drawn from a tank, it is 3/8 full; how many liters will the tank hold?
Answered by Penny Nom.
5 crayons 2011-09-17
From John:
How many four color combinations are possible with 5 crayons
Answered by Penny Nom.
A rectangle of largest possible area 2011-09-16
From mary:
Steven has 100 feet of fencing and wants to build a fence in a shape of a rectangle to enclose the largest possible area what should be the dimensions of the rectangle
Answered by Penny Nom.
A rectangular wall 2011-09-12
From Jimi:
The area of a rectangular wall of a barn is 110 square feet. It's length is 12 feet longer than twice its width. Find the length and width of the wall of the barn.
Answered by Penny Nom.
The cost of petrol 2011-08-26
From Sam:
Hi, i'm confused about this question from my textbook, here goes: The cost of petrol for a 240 km journey for a car which runs 12 km on each litre of petrol is $24. What would be the cost of petrol for a 500 km journey for a van which runs 11km on each litre of petrol? please answer in detail and thanks in advance :)
Answered by Penny Nom.
A picture with a frame 2011-08-19
From Aniish:
A picture 8inches by 12inches is placed in a frame of uniform width. If the area of the frame equals the area of the picture find the width of the frame?
Answered by Penny Nom.
Fencing around a pool 2011-07-12
From Anita:
The measurement of a swimming pool are 32 feet by 18 feet. How much fencing is needed if the fence is to be built 7 feet from each side of the pool?
Answered by Penny Nom.
concentric circles 2011-07-06
From maribiie:
two circles are concentric. the tangent to the inner circle forms a chord of 12cm in the larger circle. find the area of the "ring" between the two circles?
Answered by Penny Nom.
How tall is the pole? 2011-05-27
From cynthia:
20 foot rope is tied 2 feet from the top of a pole and secured 8 feet from the base of the pole....How tall is the pole?
Answered by Penny Nom.
How many meters long should the race be? 2011-05-26
From Lee:
Nathan can walk at a rate of two meters per second while David can easily go three-and-a-half meters per second. David offers Nathan a 45 meter head start. How many meters long should the race be in order for Nathan to win by a nose
Answered by Penny Nom.
Problem solving with fractions 2011-05-21
From emilyd:
I had a packet of sweets. I put 1/5 of the sweets into Container A, 1/3 of them in Container G, 10 sweets in container C and the rest in container D. If the number of sweets in container D is equal to 75% of the total number of sweets in container A and B, how many sweets are there altogether?
Answered by Penny Nom.
What was his salary before the raise? 2011-05-16
From Annette:
Need to show all my work and round to the nearest dollar. If James received a 9% raise and is now making $102.00 per year, what was his salary before the raise?
Answered by Penny Nom.
The dimensions of a rectangle 2011-05-08
From yolanda:
If the length of a rectangle is 3ft less than twice its width and the area of the rectangle is 54ft^2,what are the dimensions of the rectangle?
Answered by Penny Nom.
How many students are 25 and under? 2011-05-01
From ella:
use the five steps of problem solving to answer the following question Enrollment at a local university is 8,500. There are one third as many students over the age of25. there are 25 and under. how many students are 25 and under and how many are 25 and older(p 5)
Answered by Penny Nom.
The area of a rectangle 2011-04-30
From Hayley:
A rectangles width is exactly twice its length. The area of the rectangle is 450 square feet. What are the length and width of the rectangle?
Answered by Penny Nom.
Deciding where to bowl 2011-04-29
From ella:
the bowling alley on wedge street charges $5.50 for shoe rentals plus $2.50 per game. lawerence bowing alley charges $4.00 shoe rentals and $3.00 per game . how many games should they bowl to make wedge street cheaper than lawerence street
Answered by Penny Nom.
Dividing the profits 2011-04-19
From Tracy:
I need to know how to come up with the answers to the following problems. I need to be able to show my work. So can you help me on how to come up with the answers to questions like these. Thanks.

Three individuals form a partnership and agree to divide the profits equally. X invests $9,000, Y invests $7,000, Z invests $4,000. If the profits are $4,800, how much less does x receive compared to having the profits divided in proportion to the amounts invested by X, Y, and Z?

In printing an article of 48,000 words, a printer decides to use two sizes of type. Using the larger type, a printed page contains 1,800 words. Using a smaller type, a page contains 2,400 words. The article is allotted 21 full pages in a magazine. How many pages must be in smaller type? ___________

thank you

Answered by Penny Nom.
Ramon has 6 puppies 2011-04-17
From Mary:
Ramon has 6 puppies. Five of the 6 weigh the same and one puppy is heavier. If Ramon had a balance scale, what is the least number of times he could weigh the puppies to be sure he could determine which puppy was heavier?
Answered by Penny Nom.
Cone story problem 2011-04-16
From Chelsea:
There is a cone with a story problem that states only that the radius is the same as the altitude and that the slant height of the cone is 6cm. I have no idea how to figure this problem out.
Answered by Penny Nom.
Decreasing numbers 2011-04-13
From Hadi:
A number is called a "decreasing number" if each digit in the number is less than the digit to its left. For example, 87420 is a deceasing number. How many five-digit decreasing numbers are there?
Answered by Claude Tardif.
The perimeter of a rectangle 2011-04-04
From aspen:
the perimeter of a rectangle is twice the sum of its length and its width. the perimeter is 40 meters and its length is 2 meters more then twice its width. what is the length?
Answered by Penny Nom.
If 25 items are evenly spread over 7 days 2011-03-23
From michael:
What is the formula to calculate:
If 25 items are evenly spread over 7 days, but one day has 3 items less than the other days, what is the number if items for each of the remaining 6 days?

Answered by Penny Nom.
Find his income on the fourth week of August. 2011-03-22
From Abeth:
The average weekly income of MJ for the first three weeks of August was 3,600 and his average weekly income for four weeks is 3950. Find his income on the fourth week of August.
Answered by Penny Nom.
Tony and his friends 2011-03-21
From Mieke:
Using the following statements and the information given, how much money did each friend have.
Mike says, "I have $41.00 more than Tony."
Jessica says, "I have 6 times as much as Tony plus $2.00."
Ashley says, "I have 13 times the amount Tony has."
Sara says, "I have the 8 times the amount Tony has."
The total together they had was $304.00

Answered by Penny Nom.
A verbal problem 2011-03-20
From tom:
mrs. jhonson planned to spend $78 for fabric to make draperies. She found her fabric on sale at 20% less per yard than she expected and was able to buy her drapery fabric plus 4 extra yards for bedspread for $83.20. how much fabric had she planned to buy and what was the original cost per yard?
Answered by Stephen La Rocque.
How much per ft. does it cost? 2011-03-14
From Linda:
350 lbs. of coil at $1.80 per lb equals $630. each coil is 780 ft. how much per ft. does it cost?
Answered by Penny Nom.
A two digit number 2011-03-01
From jhoanna:
the sum of the digits of a two digit number is 10. The value of the number is 16 times the units digit.Find the number.
Answered by Penny Nom.
Find the dimension of the original rectangle 2011-02-28
From sandra:
the perimeter of a rectangle is 40 cm. if the length were doubled and the width halved, the perimeter would be increased by 16cm. Find the dimension of the original rectangle
Answered by Robert Dawson.
A word problem 2011-02-26
From Barb:
there are five times as many children as adult at a playground. There are 60 people on the playground.

write an algebra equation that represents this situation. Be sure to define your variables.(start with statement "Let X= ___")

Answered by Penny Nom.
Tom has 12 times as much money as Bill 2011-02-18
From Chris:
Tom has 12 times as much money than Bill. Together they have $325 dollars. How much does each boy have?
Answered by Stephen La Rocque.
Two conical tanks 2011-02-17
From rustom:
Two vertical conical tanks (both inverted) have their vertices connected by a short horizontal pipe. One tank, initially full of water, has an altitude of 6 ft. and a diameter of base 7 ft. The other tank, initially empty, has an altitude of 9 ft., and a diameter of base 8 ft. If the water is allowed to flow through the connecting pipe, find the level to which the water will ultimately rise in the empty tank (Neglect the water in the pipe.)
Answered by Penny Nom.
(1-1/2)(2-2/3)(3-3/4)...(15-15/16)=n!/16 2011-02-15
From Fiona:
Could you help me find the value of n: (1-1/2)(2-2/3)(3-3/4)...(15-15/16)=n!/16
Answered by Penny Nom.
What is the 6001st digit that Sam wrote? 2011-02-15
From Sarah:
Sam wrote the natural numbers from 1 to 5280 in order. What is the 6001st digit that Sam wrote?
Answered by Penny Nom.
Throwing a football 2011-02-08
From Janet:
a football is thrown into the air from 2 meters high. After 1 second it is 6.9 meters high. After another second it is 2 meters high. How high is it after 1.02 seconds and .05 seconds? when will it reach 5.136 meters? I am not sure how to extract the numbers I need and what equations to use them in?
Answered by Stephen La Rocque.
Reversing the digits 2011-02-08
From rejie:
if the digits are reverse , the number is 9 less than the original number.what is the equation?
Answered by Penny Nom.
An even multiple of 27 2011-02-01
From parth:
the 6 digit # 63x904 is an even multiple of 27 what is X
Answered by Penny Nom.
The area of a rectangle 2011-01-31
From T.S.:
for which value of w does the rectangle below have an area of 864 square units if sides are width=w+15 and length=w-15
Answered by Penny Nom.
A rectangle 2011-01-16
From meg:
if a rectangle has a length that is 3cm less than 4 times its width and its perimeter is 19cm, what are the dimension?
Answered by Penny Nom.
Matt is thinking of two numbers 2011-01-14
From mary:
Matt is thinking of two numbers. One number is 9 more than the other number. The sum of the numbers is 45. What are the numbers?
Answered by Penny Nom.
The height of a lamp 2011-01-13
From Dorothy:
I need to find the lamp height with casting shadow (base line of triangle where a boy 1.6m tall stands 3m from base of street lamp and has a 2m shadow. In other words, think of a right angle triangle with zero height starting at left, then 2m to right stands boy (1.6m high). Angle (hypotenuse) increases up to top of street lamp with 'x' height and 3m base.
Answered by Penny Nom.
The weight of a tank 2011-01-11
From tom:
A tank, open at the top is made up of thin sheet iron 1in. thick. The internal dimensions of the tank are 4 ft. 8in. in long ;3 ft. 6 in.in wide ;4ft 4 in. in deep Find the weight of the tank when empty, and find the weight when full of salt water. (Salt water weighs 64 lbs. per cu. ft., and iron is 7.2 times as heavy as salt water)
Answered by Harley Weston.
Draw a figure with 16 triangles using only 6 line segements 2010-12-16
From Jill:
How can you draw a figure with 16 triangles using only 6 line segements?
Answered by Stephen La Rocque.
The length is twice its breadth 2010-12-09
From jenu:
The length of the rectangular field is twice its breadth. A man jogged around it 5 times and covered a distance of 3 km. what is the length of the field?
Answered by Penny Nom.
Fifty votes were cast in a class election 2010-12-03
From nympha:
Fifty votes were cast in class election, Beth got 1/5 of the votes. Helen got as many votes as Jane and Peter put it together. Peter got 1/3 as much votes as Jane. How much votes did each of the four candidates received?
Answered by Stephen La Rocque.
How many gallons of water will it take to fill a classroom? 2010-12-01
From deena:
How many gallons of water will it take to fill a classroom that is 26 feet long by 19 feet wide and 9 feet high? How many tons of water will that be?
Answered by Stephen La Rocque.
A rectangular piece of plywood 2010-11-30
From Austin:
A rectangular piece of plywood is trimmed to make it square by cutting a 4cm strip off the top and a 2cm strip off one side. If the area of the original piece is 74cm2 greater than the area of the square, find the dimensions of the rectangle.
Answered by Penny Nom.
Two girls agree to mow a lawn 2010-11-23
From Milorad:
Two girls agree to mow a lawn 60m by 80m so that the first girl cuts one half by cutting a uniform strip around the lawn. How wide a strip should the first girl cut?

I've been struggling with the question above, mainly with the equation and I have set it up as 2400=(60-2x)(80-2x), if this is incorrect I would like to know where I've gone wrong and also would like a full answer to see it properly done. I need an algebraic answer and not one with a diagram.

Answered by Penny Nom.
Will the ball clear the tree? 2010-11-14
From MK:
Sam hits a golf ball with a five-iron a distance of 120m horizontally. A tree 45m high and 35m in front of Sam is directly in the path of the ball. Will the ball clear the tree if the ball makes a parabolic curve and has a maximum height or 80m?
Answered by Brennan Yaremko.
Three consecutive odd integers 2010-11-07
From karen:
find three consecutive odd integers such that twice the sum of the second and the third is 43 more that three times the first
Answered by Penny Nom.
Nickels as dimes 2010-11-06
From Exie:
Clara has the same number of nickels as dimes in each jar. there are 15 cent in one jar and 30 cents in the other. how many of each coin does she have in each jar? I'm home schooling my granddaughter and this problem has me stumped..could you please help? thanks
Answered by Robert Dawson.
Bbippities, bops, and boos 2010-11-05
From Stacey:
six bippities equal three bops,and six bops equal two boos. How many boos are there in one bippity,one bop, and one boo??
Answered by Stephen La Rocque.
Nickels and dimes 2010-11-05
From kebede:
John has 20 fewer nickels than dimes. The total of the nickels and dimes if $12.35. ow many of each coin does she have?
Answered by Penny Nom.
Four tires and a spare 2010-11-04
From stacey:
a car is driven 40,000 miles using four tires and a spare. the tires are rotated so that each tire travels the same number of miles. What is the number of miles traveled by each tire??
HINT: the answer is not 8,000 miles each..

Answered by Penny Nom.
A box full of oranges 2010-10-28
From Mary:
A box full of oranges weighs 9 pounds. After a family ate 2/3 of the oranges, the remaining oranges and the box weighed 4 pounds. The weight of the box when empty is how many pounds?
Answered by Penny Nom.
Electronic cars around a circular track 2010-10-11
From Taylor:
Cory and Melissa are racing electronic cars around a circular track. They begin at the same time going in the same direction. Cory's car completes a revolution in 35 secs, while Melissa's car completes a revolution in 30 secs. How long will it take them before both cars reach the starting point again simultaneously?
Answered by Stephen La Rocque and Penny Nom.
Two numbers 2010-09-14
From Sania:
math homework help-Felicia is thinking of two numbers. One of them is 2 more than 3 times the other one. The difference between the squares of these numbers is 112. What is the smaller number?
Answered by Penny Nom.
Choose any three digits that are less than ten 2010-09-12
From cecille:
my son have a homework, but i don't understand the question. here's the problem:
choose any three digits that are less than ten.
make all the two digit number you can using those three digits.
add up the two digit numbers you created and divided by the sum of the original three digits.
record your answer. then do it again with another three digits. write your observation about the answer.

Answered by Claude Tardif.
Mrs. Johns graded 121 math tests. 2010-09-10
From Tums:
Mrs. Johns graded 121 math tests. It took her 3 hours to grade all of the tests. Each test took the same amount of time to grade. About how many test did Mrs. Johns grade in 2 hours?
Answered by Penny Nom.
A truck goes south and then east 2010-08-26
From MARK:
A truck starts at point A and drives South 3 miles. Then it turns left at Point B and drives east four miles to point C. How many miles is the truck at point C from point A if it were to drive directly from point A to Point C.My book says the answer is 5 miles. How did they come up with the answer?
Answered by Robert Dawson.
12 coins 2010-07-07
From Eden:
We have 12 coins same in size and shape and also weight. But among these, one coin which has same size and shape, but not in weight and we can't know that this coin was lighter or heavier. We must decide which coin was lighter or heavier among these 12 coins in 4 times of weighting with scale.
Answered by Stephen La Rocque and Tyler Wood.
A collection of baseball cards 2010-07-01
From Martha:
Cody has a collection of baseball cards. Is it possible for him to place the cards into 5 boxes so that exactly 3 of the boxes contain an odd number of cards and the total number of cards in two of the boxes is the same as the total number in the other 3 boxes? Explain.
Answered by Robert Dawson, Penny Nom and Claude Tardif.
The product of 2 consecutive integers 2010-06-28
From Sharon:
the product of 2 consecutive integers is -6 less than the square of the larger number. find the smaller number
Answered by Penny Nom.
Roosters, hens and chicks 2010-06-10
From Kamarah:
If a rooster is worth 5 coins and a hen is worth 3 coins and chicks 3 together are worth 1 coin, how many roosters, hen and chicks totaling 100 can be bought with 100 coins?

notes:
you must buy at least one of each type of fowl
no fractional fowl
chicks are purchased in multiple of 3
find 3 solutions

Answered by Penny Nom.
The tires on Helen's new car 2010-06-08
From Rich:
Helen bought a new car with four tires and a full-size spare. If she rotated the tires so that each tire would have the same amount of wear, then how many miles were on each tire when her odometer showed 40,000 miles?
Answered by Penny Nom.
Going to the bike shop 2010-06-07
From Omi:
Marie rode her bicycle from her home to the bicycle shop in town and then walked back home. If she averaged 6 miles per hour riding and 3 miles per hour walking, how far is it from her home to the bicycle shop if her total travel time was 1 hour?
Answered by Penny Nom.
Two problems 2010-05-27
From debbie:

Question from debbie, a parent:

hi, i have a daughter and she asked me a maths question I cannot solve. I was just wondering if you can give me the answers plus the working out so I could explain to my daughter,

1. The leftmost digit of a six-digit number N is 1. If this digit is removed and then written as a rightmost digit, the number thus obtained is three times N .Find N.

2. Four friends are racing together down a flight of stairs. A goes 2 steps at a time, B 3 steps at a time. C 4 steps at a time and D 5 steps at a time. The only steps which all four tread on are the top one and the bottom one. How many stairs in the flight were stepped on exactly once?


Answered by Penny Nom.
What is the speed of the current? 2010-05-25
From tien:
a boat travels upstream, against a current, at a speed of 4 miles per hour. On the return trip, the boat travels downstream, with the current , at 10 miles per hour. the speed of the current remains constant. what is the speed of the current?
Answered by Penny Nom.
How wide a strip has he cut when the lawn is half mowed? 2010-05-24
From Arib:
rectangular lawn has length 40 m and width 30 m. David starts cutting from the outside in. How wide a strip has he cut when the lawn is half mowed?
Answered by Penny Nom.
What is the distance from A to C via B? 2010-05-24
From vivianne:
The distance from A to B is d km and that from B to C is x km. if a bus maintains an average speed of 50km/hr between A and B and 60km/hr between B and C, it takes 3 hours to travel from A to C. If it maintains 60km/hr between A and B and 50km/hr between B and C, the journey takes 8 minutes less. What is the distance from A to C via B?
Answered by Penny Nom.
An optimization problem 2010-05-23
From Marina:
Hello, I have an optimization homework assignment and this question has me stumped..I don't even know

A hiker finds herself in a forest 2 km from a long straight road. She wants to walk to her cabin 10 km away and also 2 km from the road. She can walk 8km/hr on the road but only 3km/hr in the forest. She decides to walk thru the forest to the road, along the road, and again thru the forest to her cabin. What angle theta would minimize the total time required for her to reach her cabin?
I'll do my best to copy the diagram here:

                             10km
Hiker_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _Cabin
      \                           |                              /
       \                          |                             /
     f  \                      2km                          /
         \                        |                           /
theta   \___________________________ /
                            Road


Answered by Penny Nom.
How far is the runner from the starting point? 2010-05-22
From Richard:
A marathon runner runs 6 miles south and then 8 miles east. How far is the runner from the starting point?
Answered by Tyler Wood.
How far am I from the starting point? 2010-05-18
From jilayna:
if i walk 5 miles north, 7 miles east, and 3 miles north again.to the nearest tenth of a mile ,how far,in a straight line, am i from my starting point
Answered by Penny Nom.
The sum of twice a number and 6 is 8 2010-05-12
From MAE:
THE SUM OF TWICE A NUMBER AND 6 IS 8 . FIND THE NUMBER
Answered by Penny Nom.
The product of two consecutive even integers 2010-05-11
From Terry:
The product of two consecutive even integers is 14 more than their sum. Find the integers.
Answered by Penny Nom.
The dimensions of a driveway 2010-05-07
From Josh:
Dave and Jane have a new rectangular driveway. The perimeter of the driveway is 168 feet. The length is 12 feet longer than three times the width. What are the dimensions of the driveway?
Answered by Penny Nom.
The width of a picture frame 2010-04-28
From Daniel:
The frame of a picture is 28 cm by 32 cm outside and is of uniform width. What is the width of the frame if 200 cm ^2 shows?
Answered by Penny Nom.
A rectangular laundry room 2010-04-28
From Cynthia:
a laundry room is shaped like a rectangle. the area of the room is 6 square yards. the perimeter is 10 yards. The room is longer than it is wide. How wide is the room? How long it the room?
Answered by Penny Nom.
A rectangular prism 2010-04-27
From Savannah:
A rectangular prism is made of exactly 8 cubes. Find the length, width, and height.
Answered by Penny Nom.
A rectangular garden 2010-04-25
From Billy:
Tanisha wants to make a rectangular garden with a perimeter of 38 feet. What is the greatest area possible that tanisha can make the garden?
Answered by Penny Nom.
A table of values 2010-04-22
From Donna:
Complete the table by determining the value of each letter. Explain what rule is used to relate the numbers in the second column (with the heading of y) with those in the first column (with the heading of x).

x | y
3 | 5
9 | 23
4 | 8
6 | A
7 | B
C | 11
D | 2

I can't figure this out, can you help me?

Answered by Robert Dawson.
The length and width of a table 2010-04-19
From Linda:
The length of the top of a table is 2 feet longer than 4 times the width. The area is 72m squared. Find the dimensions of the table.
Answered by Penny Nom.
What are the dimensions of the box? 2010-04-13
From Steven:
The longest rod that will just fit inside a rectangular box, if placed diagonally top to bottom, is 17 inches. The box is 1 inch shorter and 3 inches longer than it is wide. How much must you cut off the rod so that it will lie flat in the bottom of the container? What are the dimensions of the box?
Answered by Robert Dawson.
A rectangle problem 2010-04-12
From Charlene:
The ratio of the width to the length of a certain rectangle is equal to the ratio of its length to the difference between its length and twice its width. If the area of the rectangle is 25cm^2, then what are its dimensions? Present a non- algebraic solution?
Answered by Tyler Wood.
The perimeter of a rectangle 2010-04-12
From Charlene:
The area of a rectangle is 390m^2. If its length is increased by 10m and its width is decreased by 6m, then its area does not change. Find the perimeter of the original rectangle.
Answered by Tyler Wood.
A cube with twice the volume 2010-04-11
From Woojin:
From a given cube create another cube with twice the volume. the cube: 5cm each.
Answered by Tyler Wood.
Working backwards 2010-04-11
From adel:
alice gave reggie and freddie as much money as each had already.reggie in turn gave alice and friddie as much money as each already had in negotiable treasury notes. freddie gave alice and reggie as much money as they each had. in the end they each had the same sum, 24000.00.how much money did they each in the beginning?
Answered by Penny Nom.
A max min problem 2010-04-06
From Terry:
The vertex of a right circular cone and the circular edge of its base lie on the surface of a sphere with a radius of 2m. Find the dimensions of the cone of maximum volume that can be inscribed in the sphere.
Answered by Harley Weston.
A ratios problem 2010-04-01
From Jules:
1a) If 2/3 of the boys and 3/4 of the girls at a party are dancing, what is the ratio of boys to girls, if all the dancing couples consist of a boy and girl?

b) If the total number of the boys and girls of the party is 153, how many boys are at the party?

Answered by Penny Nom.
Coins in 3 parking meters 2010-03-27
From Zena:
There are 227 coins altogether in 3 parking meters. The second meter has 37 more coins than the first meter. The third meter has twice as many coins as the second. How many coins in each meter?
Answered by Penny Nom.
A ladder against a wall 2010-03-25
From amber:
the distance from the bottom of the ladder to the building is18 foot less than the length of the ladder.How high up the building is the top of the ladder if that distance is 1 ft less than the length of the ladder?
Answered by Penny Nom.
What is the speed of the current? 2010-03-17
From Carl:
If you can row 3 mph in still water and paddle 3 miles upstream and return in 3.6 hours then what is the speed of the current?
Answered by Penny Nom.
Gina's weight was 4/7 of Helen's weight 2010-03-14
From Eileen:
At first, Gina's weight was 4/7 of Helen's weight. Then, Gina gained 3kg while Helen lost 6kg. They are the same weight now. What is Helen's weight now?
Answered by Penny Nom.
A red boat and a blue boat 2010-03-13
From SERENA:
Two fishing boats set out at 2pm for some afternoon fishing. Both boats pulled out from the same dock heading in the same direction. The average speed of the blue boat is 30mph slower then twice the speed of the red boat. In two hours, the blue boat is 20 miles ahead of the red boat. Find the rate of the blue boat.
Answered by Penny Nom.
Selling lettuce 2010-03-11
From Mike:
Day 1 started with 80 heads of lettuce and x were sold.
Day 2 started with two times the number of heads of lettuce that was left over. Again, only x were sold.
Day 3 started with 3 times the number of lettuce from what was left over from day 2 and all was sold.
What was the # of lettuce sold on each day?

Answered by Penny Nom.
Redwood Park and Glendale Park 2010-03-05
From Shaun:
Question from Shaun, a student:

Redwood and Glendale Parks are each surrounded by 100 yards of fencing. The are of Redwood Park is 25 square yards more than the area of Glendale Park. If both parks are rectangles, what is the measurement of each rectangle?

Answered by Harley Weston.
How many people in total came to the museum that day? 2010-03-05
From simon:
1354 people attended exhibition A and 1427 people attended exhibition B. 79% of people attended both exhibitions. How many people in total came to the museum that day
Answered by Penny Nom.
The area of a new parking lot 2010-03-04
From nayle:
The owner of a parking lot at the beach wants to increase the parking area of the lot. If the owner increases each of the dimensions of the rectangular lot by half its original value, by what factor will the parking lot increase?
Answered by Penny Nom.
At what time would Joan catch Jo? 2010-03-04
From Rusty:
If Jo left his house at 6:30am traveling at 5mph and Joan left the same house 7:00am traveling at 8mph, at what time would Joan catch Jo?
Answered by Penny Nom.
The dimensions of a rectangle 2010-03-03
From Kirsten:
A rectangle is twice as long as it is wide. Its area is 128 square meters. What are the dimensions of the rectangle?
Answered by Tyler Wood.
Two adjacent rectangular dog pens 2010-03-01
From Janet:
Clint is constructing two adjacent rectangular dog pens. Each pen will be three times as long as it is wide, and the pens will share a common long side. If Clint has 65 ft of fencing, what are the dimensions of each pen?
Answered by Penny Nom.
How many CDs and videos did the store sell? 2010-03-01
From dawn:
A used book store started selling CDs and videos. In the first week,the store sold 40 used CDs and videos,at 4.00 per CD and 6.00 per video.The sales for both CDs and videos totaled 180.00 she wrote a system of equations to represent the situation.Then she graph the system of equations

thanks- Dawn

Answered by Tyler Wood.
A mixture problem 2010-02-24
From Nathan:
How many gallons of 60% solution must be added to 40 gallons of a 10% solution to produce a 20% solution?
Answered by Penny Nom.
Dividing between between two charities 2010-02-22
From Latoya:
a 149,000 estate is to be divided between two charities so that one charity receives 18,000 less than the other. How much will each charity receive?
Answered by Penny Nom.
15 men can do a piece of work in 7 days 2010-02-20
From Kenneth:
If 63 books cost $126, what will 125 books cost?

If 15 men can do a piece of work in 7 days, in how many days can 21 men do the same work?

Answered by Penny Nom.
The dimensions of a flag 2010-02-15
From dawn:
a state flag was twice as long as it was wide and had an area of 288 sq inches, what were its, dimensions
Thanks

Answered by Penny Nom.
What time did susan go to bed? 2010-02-14
From Sophia:
Susan woke up at 7:42 Am to get ready for school. She slept for 10 and 1/3 hours. What time did she go to bed?
Answered by Stephen La Rocque.
Birds and cats 2010-02-13
From Sophia:
While visiting a pet store, you notice that there are only birds and cats in the cages. You can't help but wonder how many of each animal there is in the yard. But when you ask the store manager how many of each animal he has, he refuses to give a direct answer. He says there are 16 animal heads and 42 animal feet. How many birds and cats are there in the pet store? It said to show all your work. Explain in words how you found your answer. Tell why you took the steps you did to solve the problem.
Answered by Penny Nom.
The perimeter of a semicircle 2010-02-04
From Sarah:
The perimeter of a semicircle is doubled when the radius is increased by 7. Find the radius of the semicircle.
Answered by Tyler Wood.
Consecutive even integers 2010-02-03
From cassandra:
find 2 consecutive even integers whose sum is 34

find 3 consecutive even integers such that 3 time the middle interger is 10 more than the greatest.

Answered by Tyler Wood.
Mixing oil 2010-02-03
From Andrew:
A dealer wishes to produce 300 gallons of oil worth 40cents a quart. He has oil worth 36cents a quart and oil worth 52cents a quart. How many quarts of each should he mix?
Answered by Penny Nom.
A snail on an elastic band 2010-02-03
From Joe:
A snail starts crawling from one end along a uniformly stretched elastic band. It crawls at a rate of 1 foot per minute. The band is initially 10 feet long and is instantaneously and uniformly stretched an additional 10 feet at the end of each minute. The snail maintains his grip on the band during the instant of each stretch. At what points in time is the snail
(a) closest to the far end of the band, and
(b) farthest from the far end of the band?

Answered by Robert Dawson.
A piece of string 8 inches long is cut in two pieces 2010-02-02
From Susan:
If you have a piece of string 8 inches long and cut it in two pieces. Then take the pieces and forms each into a square such that the area of each squares added together equals 2. How long are the sides of the squares?

Susan

Answered by Penny Nom.
A decrease in travel time 2010-01-30
From Mike:
if a 100 mile trip averages 50 miles per hour, how much distance does one need to travel at 90 miles per hour to decrease travel time by 10%
Answered by Stephen La Rocque.
An isosceles triangle 2010-01-28
From Jazzy:
An isosceles triangle is a 2 congruent (equal) sides. Of the third side is three times the length of the congruent side(s), and the perimeter is 75 cm, find the length of all three sides of the triangle
Answered by Penny Nom.
What is the length of my sidewalk? 2010-01-27
From Les:
Name: Les
Who are you: Student

I have a sidewalk 4"thick,4ft. wide,and I have 2cubic yards of concrete. What is the length of my sidewalk?

Answered by Penny Nom.
How high up the building does the ladder reach? 2010-01-19
From rosenda:
A 10 meter ladder is 6 meter from the base of a building. How high up the building does the ladder reach?
Answered by Robert Dawson.
Setting up an algebraic equation 2010-01-18
From jerry:
the 1st of 4 books has twice as many pages as the 3rd. The 2nd book has 30 pages less than the 1st. The 4th has 42 pages more than the 1st and 2nd books combined. there are 567 pages in total. How many pages are in each book.
Answered by Penny Nom.
Gail and Bill drove to the beach 2010-01-10
From Nicole:
Gail and Bill drove to the beach at an average speed of 50mph. They return home over the same road at an average speed of 55mph. The tip took 30 min less time. How far is the beach from their house?
Answered by Stephen La Rocque.
Cows, pigs and ducks 2010-01-06
From Eileen:
There are 239 cows and pigs in a farm. The total number of cows and ducks in the farm is 767. There are 5 times as many ducks as pigs. If the farmer can sell each duck for $7.50, how much can he collect from the sale of all his ducks?
Answered by Robert Dawson.
Dividing seashells among girls 2010-01-06
From Eileen:
A group of girls collected some seashells from the beach. They tried to divided these seashells equally among them. If each girl received 8 seashells, they would need 5 more seashells. If each girl received 7 seashells, they would have 3 seashells extra. How many seashells did they collect from the beach altogether?
Answered by Robert Dawson and Penny Nom.
Write a function for the area in terms of x 2010-01-01
From Almarie:
Lauren has 40 feet of metal fencing material to fence three sides of a rectangular garden. A tall wooden fence serves as her fourth side. Write a function for the area of the garden A in terms of x, the width in feet.
Answered by Penny Nom.
The Snail Problem 2009-12-28
From kishore:
A snail starts crawling from one end along a uniformly stretched elastic band. It crawls at a rate of 1 foot per minute. The band is initially 10 feet long and is instantaneously and uniformly stretched an additional 10 feet at the end of each minute. The snail maintains his grip on the band during the instant of each stretch. At what points in time is the snail (a) closest to the far end of the band, and (b) farthest from the far end of the band?
Answered by Janice Cotcher.
A ball is thrown upwards 2009-12-17
From Reuben:
A ball is h meters above the ground t seconds after it is thrown where h(t) = 40t – 5t ^2 . Find the time at which the ball first reaches a height of

(a) 10 meters
(b) 40 meters
(c) 100 meters

Answered by Harley Weston.
A 4 digit number 2009-12-15
From Lisa:
Billy Club was assigned the task of putting numbers on all the playground balls used during daily recess. Billy will number the balls using the following rules:

1. It will be a 4-digit number.

2. The digit in the thousands place will be a 1 or a 2.

3. The digit in the hundreds place will be a 2, 4, or 6.

4. The digit in the tens place will be an odd number.

5. The digit in the ones place will be greater than six.

How many balls can Billy number if he follows these rules?

Answered by Robert Dawson.
A telephone pole on a slope 2009-12-14
From Marissa:
A 10 meter telephone pole casts a 17 meter shadow directly down a slope when the angle of elevation of the sun is 42 degrees. Find the angle of elevation of the ground. Its a law of sines problem.
Answered by Penny Nom.
Two adjacent pig pens 2009-12-04
From alysia:
A pig farmer wants to build two adjacent pens using 96 feet of fencing. He wants rectangular pens that share the short side and the overall length is to be six more than twice the width. What should be the dimensions of the overall pen?
Answered by Penny Nom.
The dimensions of a rectangular room 2009-11-26
From crystal:
. The length of a rectangular room is 7 feet longer than its width. The area of the room is 60 feet. What are the dimensions of the room?
Answered by Penny Nom.
Matt has 40 coins 2009-11-18
From Amy:
Matt has 40 coins(nickels, dimes, and quarters). The total amount is $4.05. He has 7 more nickels than dimes. How many quarters does he have?
Answered by Penny Nom.
Two movies in one day 2009-11-18
From jazzy:
ann and tim saw two movies in one day.The two movies lasted 4hours long .One movie was an half hour longer than the other .How many hours did the shorter movie run
Answered by Penny Nom.
How many girls are there in the class? 2009-11-18
From Anisa:
There are 30 students in a class. A quarter of the boys ans half of the girls study music, making a total of 11 music students. How many girls are there in the class?
Answered by Penny Nom.
Pennies and dimes 2009-11-11
From Rachel:
Kesha had only pennies and dimes in her change purse. When she counted out her change she had 64 cents/ of she had 6 times as many pennies as she did dimes, how many pennies did she have? Write equation and solve it.

Can someone help me with this?

Answered by Penny Nom.
Sarah's age 2009-10-31
From Kenneth:
2/3 of Mary’s age equals Sarah’s age and 3/4 of Ruth’s age equals Sarah’s age. If the total ages equal 46, how old is each girl?
Answered by Claude Tardif.
Where is the Father? 2009-10-30
From Jeffrey:
A mother is 21 years older than her kid and within 6 years the child will be 5 times younger than the mother. Where is the Father? Jeffrey
Answered by Robert Dawson and Claude Tardif.
Sarim has $1 in coins. 2009-10-27
From Elizabeth:
Here is the question asked: Sarim has $1 in coins. One-fifth of the coins are dimes, two-fifteenths are nickels, and two-thirds are pennies. Tell how many of each coin he has. I am not sure how to start this problem.
Answered by Penny Nom.
Books on a shelf 2009-10-25
From Julie:
a bookshelf is 36 inches long and contains (x) books each (n) inches thick. If each book half an inch thinner, the shelf would hold six more of the same book. What is x/n
Answered by Penny Nom.
A word problem 2009-10-24
From Ryan:
Two times one number plus 7 times another number is equal to 17. the first number plus the second number is equal to 25. What are the two numbers? Please Help!
Answered by Penny Nom.
The three angles of a triangle 2009-10-13
From Michelle:
The second angle of a triangular garden is four times as large as the first. The third angle is 45 less than the sum of the other two angles. Find the measure of the other two angles?
Answered by Penny Nom.
What fraction of my goal has been raised? 2009-10-13
From sally:
If my goal is to raisel $300 and I have only raised $240 what fraction of my goal has been raised
Answered by Penny Nom.
How many gallons does it contain when it is 1/6 full? 2009-10-13
From Bren-Nesha:
A tank contains 200 gallons when it is 4/5 full. How many gallons does it contain when it is 1/6 full? I already know the answer but i would like to know how to arrive at the answer.
Answered by Penny Nom.
A right triangle 2009-10-12
From Josseph:
A right triangle has an area of 84ft sq. and a hypotenuse 25ft long. What are the lengths of the other two sides?
Answered by Penny Nom.
The area of a rectangle 2009-10-10
From Ann:
given a rectangle with sides a and 2a and diagonal d, find the area of the rectangle as a function of the diagonal,d
Answered by Penny Nom.
$6.25 in nickels quaters and dimes 2009-10-10
From miriam:
a piggy bank contains $ 6.25 in nickles quaters and dimes. there are 65 coins all together and there are four times as many nickles as quaters find the number of coins of each kind
Answered by Penny Nom.
Two rectangles 2009-10-08
From Lillian:
A rectangle is 5cm longer than twice its width. The width of another rectangle is 3cm less than the width of the first rectangle and its length is 6cm more than 3 times its width. If the perimeters are equal, find the dimensions of both rectangles
Answered by Penny Nom.
A dog tethered to a round building 2009-09-28
From mido:
One dog was linked to the outer wall of a building round of 20 meters in diameter. If the length of chain linking the dog sufficient turnover of half the distance around the building, What area can guard dog?
Answered by Harley Weston.
Sandra's age 2009-09-24
From cindy:
Sandra is more than 20 years old and less than 60 years old. You can count by 7's to reach Sandra's age. Next year you will be able to count by 5's to reach Sandra's age. How old is Sandra?
Answered by Penny Nom.
24 golfers: 4 days 2009-09-21
From Steven:
We have 24 golfers (6 A's, 6 B's, 6 C's & 6 D's) playing 4 days. Each day a foursome consist of an A, a B, a C & a D player. Can you give me a pairing list so that no two golfers will play on the same foursome for the 4 days?
Answered by Chris Fisher and Victoria West.
How long would it take the students to arrive at their campsite 2009-09-18
From amanda:
..."A group of 5th grade student in New Zealand are going camping. They will hike from Wellingto to Ruapehu. Then they will follow a trail for another 1/2 mile to their campsite." Ok, 1 mile equals 5,280 feet. The class decided one step length is equal to 15 inches and there are 85 steps in 1 minute. Now for the question: About how long would it take the students to arrive at their campsite, if they don't make any stops???
Answered by Robert Dawson.
Jogging and swimming 2009-09-11
From Brandon:
Trevor swims jogs 3 days and swims every 4 days. How often does he jog and swim on the same day
Answered by Leeanne Boehm.
A ladder leaning against a wall 2009-09-08
From Mackenzie:
A 7 foot long ladder is leaning against the building. The foot of the ladder is 2 feet from the base of the building. How far up the wall is the top of the ladder?
Answered by Stephen La Rocque.
A circular border around a pool 2009-09-08
From Calvin:
A pool in the shape of a circle measures 10 feet across. One cubic yard of concrete is to be used to create a circular border of uniform width around the pool. If the border is to have a depth of 3 inches, how wide will the border be? ( 1 cubic yard=27 cubic feet )
Answered by Stephen La Rocque.
Helen has twice as many dimes as nickles. 2009-09-08
From Dan:
Helen has twice as many dimes as nickles. She has 5 more quarters than nickles. She has $4.75. How many nickles does she have? I know she has 14 dimes, 7 nickles and 12 quarters. How do you put this into an algebra equation?
Answered by Stephen La Rocque.
Nickels and dimes 2009-09-03
From MATTHEW:
mike has 3 times as many nickels as Larry has dimes. Mike has 45 cents more than Larry. How much money does Mike have?
Answered by Penny Nom.
Nickels, dimes and quarters 2009-09-02
From danielle:
In changing a $5 bill, Sarah received nine more dimes than nickles and seven fewer quarters than dimes. How many coins of each type did she receive?
Answered by Penny Nom.
Investing in four accounts 2009-08-29
From Kenneth:
Hello: An investor wants to divide $1000.00 into four amounts or accounts -- one account earning 2%, the second account earning 5%, the third earning 9%, and the fourth earning 12%. He wants the overall total return to equal 5%. What are some of the monetary amounts that can be invested into these four accounts to earn him the 5% total return, 5% of $1,000.00?
Answered by Penny Nom.
Chickens and pigs 2009-08-28
From David:
A farmer has a number of chickens and pigs. There are 24 heads and 80 ft. How many pigs and how many chickens are there?
Answered by Robert Dawson.
Linear equations 2009-08-23
From shwetha:
The length of a rectangle is greater than the breadth by 18 cm. If both length and breadth are increased by 6 cm then area increases by 168 cm square. Find the length and breadth of the rectangle.
Answered by Stephen La Rocque.
Golf for 15 2009-08-18
From Judy:
We have a group of 15 golfers that play a scramble with groups of 3. The problem is we play for 14 weeks. We want every player to play at least once with everyone and no more that 3 times. I am working on this and have just about accomplished the schedule, but with a few playing more than 3 times. I'm sure there must be some mathematical calculation to do this but I have yet to figure it out.
Answered by Victoria West.
Big and small widgets 2009-08-17
From Leanne:
A machine makes big widgets. Another machine makes small widgets. 3 small widgets have the same mass as 2 big widgets. It takes the same amount of time to make 3 big widgets as it does to make 5 small widgets. The machines start at the same time and make widgets until the total mass of all the widgets made is equal to the mass of 380 small widgets. What is the total number of widgets made? (Please include workings).
Answered by Penny Nom.
A walkway around a flower garden 2009-08-01
From Barbara:
A rectangular flower bed measuring =C2=A0 10 feet by 15 feet =C2=A0 has a surrounding walkway on all sides that measure 186 square feet. How wide is the walkway?
Answered by Harley Weston.
Two word problems 2009-07-31
From Lee:
1) a student saved $50.25 in one month. at that rate how long will it take the student to save $700?

2) for summer job, martin shampooed rugs. he could finish a 4mx 4m rug in 30 min. his supervisor could finish a similar:smaller rug in 20 min. how long would it take for them to finish the rug if they worked together?

Answered by Robert Dawson.
A father and son problem 2009-07-23
From yomi:
five years ago, a father was 3 times as old as is son, now their combines age's amount 110 years. what is the present age of the father?
Answered by Penny Nom.
Buying pens and staplers 2009-07-22
From Ellen:
one more math question,
six pens and four staplers cost $7.10. four pens and seven staplers cost $9.50 find the cost of one pen and one stapler.

Answered by Penny Nom.
Selling fish 2009-07-22
From Hemantee:
A fishmonger bought 150kg of fish. he sold 70%of it at the price of Rs90 per kg and the rest at Rs 75 per kg. he made a profit of 42.5 per cent. how much did he pay for the fish.
Answered by Penny Nom.
The girl guides bake sale 2009-07-20
From Barbra:
here is two questions i need help with,
1.)A toastmasters tea was attended by 550 people. Students paid 75 cents for their tickets, and the adults paid $1.20. if the recipts totaled $525, how many adults and how many students attended?
2.) One cookie and six bars cost $2.00 at the girl guides bake sale. At the same sale, three bars and six cookies cost $2.10. Find the cost of one cookie and the cost of one bar.

Answered by Penny Nom.
Portion of Work 2009-07-17
From Ellen:
A girl can shampoo the dog, clean his ears, and clip his nails in 45 minutes. Her sister can do it in 60 minutes. How long will the job take it they work together?
Answered by Stephen La Rocque.
The product of two consecutive integers 2009-07-13
From kelly:
the product of two consecutive integers is 9 less than the square of the second integer
Answered by Penny Nom.
A base 7 number and a base 9 number 2009-07-09
From koteawarao:
Find a base 7 three-digit number which has its digits reversed when expressed in base 9.

ans: (281) base 7 and (182) base 9

Answered by Harley Weston.
The sides of a triangle 2009-07-08
From Susan:
The second side of a triangle is 5ft more than the length of the first side. The third side of the triangle is 10ft less than the length of the first side. The perimeter of the triangle is 61ft. Find the lengths of each side of the triangle.
Thank you so much!

Answered by Penny Nom.
Mowing 17 lawns 2009-06-18
From kevin:
I need help setting up a equation to solve the following question: If a gardener can mow 3 lawns in 7 hours, how long should it take him to mow 17 lawns. I can solve the problem, but I don't know how to set up the equation.
Answered by Penny Nom.
The dimensions of a rectangle 2009-05-30
From Linda:
A rectangle has a perimeter of 38 feet & an area of 48 square feet. What are the dimensions of the rectangle?
Answered by Stephen La Rocque.
Two trains 2009-05-18
From chris:
Train A passes a station at 3:15am going 40mph. Train B passes the same station at 3:27am going 50mph. At what time will Train B catch up with Train A?
Answered by Stephen La Rocque.
An afternoon at the races 2009-05-15
From garths:
A professional gambler was betting at a horse racing afternoon.
At the end of the first race he had doubled his money.
He bet R30 on the second race and tripled the money he came with.
He bet 54 on the third race and quadrupled (4 times) the money he came with.
He bet R72 on the fourth race and lost it all. But he still had R48 left.
How much money did he take to the race track?

Answered by Harley Weston.
A reward and a fine 2009-05-12
From garth:
A maths teacher promised a learner that she would pay him R8 for each problem solved correctly, but she would fine him R5 every incorrect solution. At the end of 26 problems neither owed any money to the other. How many problems did the learner solve correctly?
Answered by Robert Dawson and Penny Nom.
A two goat problem 2009-04-27
From Michael:
if you have a goat tied to a pole at one corner of a square paddock with one length of a side being 24m. what length must the rope be for the goat tied up to graze half the paddock? and if another goat is placed on the opposite corner and same length what is the amount of area they share grazing ?
Answered by Stephen La Rocque and Penny Nom.
A word problem involving y = mx + b 2009-04-24
From Devon:
I need to put the following question in to y=mx+b form

I rent a gym for $150.00 for 30 students. Another time I rent the gym for @270.00 for 70 students. I need to also find a fixed rate.

Answered by Stephen La Rocque.
Nickles and dimes 2009-04-17
From Emily:
a vending machine contains nickels and dime coins which totals an amount of $14.50. There are 95 more nickels than the number of dime coins. How many of each coin does exist?
Answered by Penny Nom.
Three consecutive odd integers 2009-04-02
From Brian:
Find the greatest of three consecutive odd integers if the product of the second and third is 8 more than 13 times the first.
Answered by Robert Dawson.
A max-min problem 2009-03-24
From Jay:
Determine the area of the largest rectangle that can be inscribed between the x-axis and the curve defined by y = 26 - x^2.
Answered by Harley Weston.
The height of a mountain peak 2009-03-23
From james:
Can you please help us (my son Jim geometry) out with this problem, we cannot seem to find the correct method of solving, not sure how to solve the scalene triangle with what is given...if that's the correct method?? Can you please explain how this is solved!!

Thank you so much,

Jim and son !

Answered by Harley Weston.
Problem solving 2009-03-21
From susie:
the product of a number and 9 increased by 15 is the same as one half of the difference of eight and four times the number. Find the number.
Answered by Stephen La Rocque.
The perimeter of a rectangle 2009-03-18
From marylyne:
the perimeter of the rectangular is 70 meters. if the width is 40% of the length, find the dimensions?
Answered by Penny Nom.
Stacking eggs 2009-03-12
From Prashanth:
if you stack two eggs eah in row you must get 1 balance
if you stack three eggs eah in row you must get 2 balance
if you stack four eggs eah in row you must get 3 balance
if you stack five eggs eah in row you must get 4 balance
it goes on like 6 , 7 , 8 and finally
if you stack nine eggs eah in row you must get 8 balance what would be the answer and how to reach it

Answered by Robert Dawson.
Three consecutive odd integers 2009-03-11
From Susan:
Find three consecutive odd integers such that the sum of the first, twice the second, and three times the third is 70
Answered by Penny Nom.
Marcia's summer earnings 2009-03-11
From Yasmine:
Marcia saved money by working over the summer. Before school started, she spent 25%of the money of jewelry and then 2/3 of the remaining money on a digital camera. She still had $213 left. How much money did she have before she started shopping?
Answered by Robert Dawson and Penny Nom.
2 types of season passes 2009-03-09
From Jaquanta:
A local water park has 2 types of season passes. Plan A costs a one - time fee of $142 for admission plus $8 for parking every trip. Plan B costs a one - time fee of $56 for parking plus $25 for admission every trip. How many visits must a person make for plan A and plan B to be equal in value?
Answered by Penny Nom.
A walkway through a park 2009-03-07
From felicia:
a diagonal walkway through a park is 18 meters long. If the park is a square, how long is one of its sides to the nearest tenth of a meter?
Answered by Penny Nom.
The angles in a parallelogram 2009-03-03
From dolly:
having a time-with equations inequaltites and problem solving= the sum of the measure of the angles of a parallelogram is 360.anglesa a and d , have the same measure as angle c and d,c is twice the measure of angle a, what is the angle for each.
Answered by Penny Nom.
Collecting an army 2009-02-25
From bevaz:
Question from bevaz, a student: A ruler orders his chamberlain to collect an army from 30 houses. The servant goes to the first house alone and collects one man. At each house after that he takes the same number of men as he has already collected, so at the second house he goes with one other and so on. How many men did he collect in all?
Answered by Penny Nom.
Two pages are attendants of a king 2009-02-24
From Lauren:
Two pages are attendants of a king. For their service, one gets 13/6 dinaras a day and the other gets 3/2 dinaras. The first page owes the second 10 dinaras. Calculate when they will have the same amount.
Answered by Penny Nom.
Three people working in pairs 2009-02-21
From bevaz:
A and B can together do a piece of work in 6 days, B and C together in 20 days and C and A in 7.5 days. how long will they require separately for the work?
Answered by Penny Nom.
Washing the dishes 2009-02-20
From rm:
a woman washing a large number of dishes after a meal was asked how many people attended the meal. she did not know but 'every two used a dish of rice between them, every three a dish for soup and every four a dish for meat, and there were 65 dishes in all.' how many people were there?
Answered by Robert Dawson.
A dinner party 2009-02-18
From will:
You are serving 3 different entrees at a party. If 100 guests are having beef, 175 guests are having pasta, and 45 percent of the guests are having chicken how many guests are expected at this party?
Answered by Penny Nom.
Broken vases 2009-02-17
From JC:
Hello, I need help with a question. It is said that a company delivers 1000 vases to a man. It charged $0.40 for every vase safely delivered. But the company had to pay the man $5.10 for each broken glass. If the man paid a total of $383.50 for the delivery, how many vases were broken?

Regs. ,
JC

Answered by Penny Nom.
Frogs and kangaroos 2009-02-16
From Jenny:
Albert, Bernard, Charles, Daniel and Ellie play a game in which each is a frog or kangaroo. Frogs' statements are always false while Kangaroos' statements are alwas true. 1. Albert says that bernard is a kangaroo. 2. Charles says that Daniel is a frog. 3. Ellie says that Alvert is not a frog. 4. Bernard says that Charles is not a kangaroo. 5. Daniel says that Elie and Albert are different kinds of animals. How many frogs are there?
Answered by Penny Nom.
A and B shared some beads. 2009-02-15
From Nicholas:
A and B shared some beads. A gave 1/3 to B, B will have 70 more than A. If A gave 1/5 to B, B would have 10 more than A. A have how many at first ?
Answered by Penny Nom.
A goat in a square paddock 2009-02-10
From lachlan:
A farmer uses a rope to tether a goat to a pole at the corner of a square paddock. The length of one side of the square is 24m.

a) If the length of the rope is 12m,what % of the paddock can the goat reach? is the answer 19.62 %?

b) If the farmer wants the goat to be able to graze exactly half the area of the paddock, what length must the rope be?

Answered by Penny Nom.
A rectangular park 2009-02-06
From Debbie:
A park named Writer's Rectangle opened in town. When asked about the dimensions of the rectangle, the city planner, responded with these clues: ---The diagonals of the rectangular park plus its longer sides together measure seven times one of the shorter sides. ---The length of one diagonal is 250 m longer than one of the shorter sides. Use this information to find the area of the park.
Answered by Stephen La Rocque.
Randy' age and Mandy's age 2009-02-03
From carolina:
Randy is 4 times as old as Mandy, in 12 years, Mandies age is half of Randy's . how old is each now?
Answered by Penny Nom.
Whitney's average test score was 79 2009-01-30
From dawn:
After 5 tests, Whitney's average test score was 79. After she scored 85 on the 6th test. What was her new average?
Answered by Penny Nom.
Mixing candy 2009-01-27
From adriana:
The question says:
that a merchant wishes to mix candy worth 45 cents per pound, with some candy that costs 80 cents per pound. this will create a mixture of candy that sells for 65 cents per pound. there is a total amount of 350 pounds of candy.

What i need to know is:
The amount of pounds of candy at 65 cents per pound? and
The amount of pounds of candy at 80 cents per pounds?

Answered by Harley Weston.
Probability and birthdays 2009-01-22
From La:
Neglecting the effect of leap years, what is the chance that, of 6 people selected at random, 2 will have the same birthday?
Answered by Penny Nom.
The dimensions of a pool 2009-01-18
From denise:
a rectangular swimming pool is three times as long as it is wide. if the perimeter of the pool is 320 feet, what are its dimensions
Answered by Penny Nom.
Problem solving with fractions 2009-01-16
From Linda:
Sam and Mary each owned one-half stock in a printing company. Sam sold 2/5 of his stock to Mary. What fractional part of the printing business does Mary now own?
Answered by Stephen La Rocque.
Two methods of payment 2009-01-13
From adjoa:
owen was offered $225.00per week plus 3%on sales, or 15%of sales with no salary. How much must he sell before the second method of payment gives him the highest pay? Express your answer to the nearest dollar.
Answered by Penny Nom.
Lita and Rose start jogging on a 110 m circular track 2009-01-13
From Narcisa:
Lita and Rose start jogging on a 110 m circular track. They begin at the same point, but jog in opposite directions, lita at 8/3 meters per second and rose at 7/3 m per second. Find the number of times they they will pass each other during the first 15 minutes of jogging?
Answered by Robert Dawson.
A T-shirt fundraiser 2009-01-11
From Andre:
Lou's class is selling T-shirts for a fundraiser. The supplier charges 750$ for the initial design and the set-up plus 5$ for each imprinted shirt. The students sell the shirts for 15$ each.
a)How many T-shirts do the students need to sell to break even?
b)How much profit will the students make if they sell 150 shirts?

Answered by Harley Weston.
Who am I? 2009-01-09
From daphne:
im a 2-digit number less than 85.the sum of my digits is 9.the number in my ones place is twice my tens digit. who am i?
Answered by Robert Dawson and Harley Weston.
What day of the week will it be? 2009-01-09
From dan:
suppose 3 days ago was a wednesday. what day of the week will 365 days from today be?
Answered by Robert Dawson.
Brothers and sisters 2009-01-09
From Jade:
Pat, Joe, Dave,Yoly, Dolor and Alma are three brothers - and sister - pairs who play double tennis. Brother and sister ca not play in the same pair. Pat and Yoly play Dave and Dolor on one day. Dave and Yoly play Joe and Alma on another day. Name each brother - and sister pair, in any order.
Answered by Robert Dawson.
When is Sean's birthday? 2009-01-09
From Robin:
Sean is 4 months older than Tony. Mia is 6 months younger than Tony. If Mia's birthday is in April when is Sean's?
Answered by Robert Dawson.
Eric bought 3 sweaters and 1 pair of pants 2009-01-01
From maya:
eric bought 3 sweaters and 1 pair of pants. Each sweater cost d dollars and the pants cost 20 dollars. Eric spent a total of 95 dollars. The equation below can be used to determine the cost of each sweater. what is the answer?
Answered by Penny Nom.
Two rectangular plots have the same area 2008-12-23
From Jason:
Two rectangular plots have the same area. The first has a perimeter of 40m while the second has a length 2m less than the first and a width 1m greater. Find the length and breadth of the first rectangle
Answered by Stephen La Rocque.
Quadratic equations arising from practical problems 2008-11-24
From Lenval:
Why do quadratic equations arising from practical problems often give physically impossible solutions such as negative distances, negative times or, say, a polygon with a negative number of sides? For example: "A river in flood carries a tree t-squared - 23t metres downstream in t seconds. How long does it take for the tree to be carried 50 metres downstream?" This gives t=25 and t=-2. Please explain the second 'solution', which is not physically possible.
Answered by Chris Fisher and Victoria West.
Juanita and Jim each think of a number. 2008-11-18
From Maria:
Juanita and Jim each think of a number. Juanita's number is 8 more than Jim's number. The product of the two numbers is 65. What is Jim's number?
Answered by Penny Nom.
Insulation in an attic 2008-11-18
From Scott:
A homeowner wishes to insulate her attic with fiberglass insulation to conserve energy. The insulation comes in 40-cm-wide rolls that are cut to fit between the rafters in the attic. If the roof is 6 m from peak to eave and the attic space is 2 m high at the peak, how long does each of the pieces of insulation need to be? Round to the nearest tenth.
Answered by Harley Weston.
A word problem about a regular pentagon 2008-11-16
From Sandra:
If the area of a regular pentagon is A=1.720a^2, in which a is one of the sides. Find the area of a regular pentagon with a side that measures 50cm.
Answered by Chris Fisher and Penny Nom.
A game for 5 players 2008-11-16
From safdar:
five players agreed that after every game, the loser doubles every body's money. they played 5 games and everybody lost once. after the 5 games, everybody had 4128. How much money did each of the players have before the game? show your work.
Answered by Janice Cotcher and Harley Weston.
This question needs to be thrown away 2008-11-13
From ang:
I'm a friend trying to help a friend in lower algebra. I feel like this question needs to be thrown away. It's so ill written.
Find an mathematical expression/equation: Half of the quotient of the total of a number and negative six and a number less negative six is the ratio of a number to a number more than negative seventeen

Answered by Stephen La Rocque and Harley Weston.
Mary and Jane on a halfmile track 2008-11-10
From alan:
mary is walking 15mph on a half mile track. jane is walking 12mph on a halfmile track. how much time will it take mary to pass jane.? HOW MANY TIMES WILL MARY PASS JANE IN 1 HOUR?
Answered by Chris Fisher and Penny Nom.
Supplementary angles 2008-11-10
From Anna:
<A and <B are supplementary angles. Twice the measure of <B is one-fourth the measure of <A. Find the measure of both angles.
Answered by Penny Nom.
The dimensions of a rectangle 2008-11-07
From laela:
A rectangle is 8 feet long and 6 feet wide.If the dimension is increased by the same number of feet,the area of the new rectangle formed is 32 square feet more than the area of the original rectangle.By how many feet was the each dimension increased?
Answered by Penny Nom.
Purchasing pens and pencils 2008-11-07
From Maggie:
A mechanical pencil costs 50 cents and a pen costs 25 cents. If I spend 5.00 on 17 pens and pencils, how many of each does that buy?
Answered by Penny Nom.
A rectangle is twice as long as it is wide. 2008-11-04
From Nawal:
A rectangle is twice as long as it is wide.
If both its dimensions are increased by 4 m, its area is increased by 88 m ^ 2.
Find the dimensions of the original rectangle.

Answered by Penny Nom.
Separating variables 2008-11-04
From Terry:
by separating variables solve the initial value problem

(x+1)y' + y = 0 y(0) = 1

Answered by Harley Weston.
Three consecutive odd integers 2008-11-03
From kim:
Determine three consecutive odd integers such that twice the sum of the second and third is 29 less than 5 times the first.
Answered by Penny Nom.
Nickels, dimes and quarters 2008-10-27
From val:
I would like help working out a math word problem. A collection of 30 coins worth $5.50 consists of nickels, dimes, and quarters. There are twice as many dimes as nickels. How many quarters. Could you teach me how to find this formula?
Answered by Penny Nom.
Three congruent rectangles 2008-10-27
From Meagan:
Here is my problem: Three congruent (non-square) rectangles are placed to form a larger rectangle. [Two are oriented the same way and the "stacked" while the third is rotated 90 degrees and placed next to the other two.] The total area is 1350 square cetimeters. Square ABCD is then created that has the same perimeter as the large rectangle that was created. E is the midpoint of line CD and F is the midpoint of BC. Find the area of triangle AEF.
Answered by Penny Nom.
The length of a rectangle is 6 inches less than 3 times its width. 2008-10-26
From Angela:
The length of a rectangle is 6 inches less than 3 times its width. Find the dimensions of the rectangle if its area is 45 square inches.
Answered by Penny Nom.
The chairs on a ski lift 2008-10-21
From Travis:
If you are sitting on chair 33 of a ski lift, which is a loop. Chairs are numbered consecutively, starting with 1. Chair 97 passes you halfway up the ski slope. How many chairs are on the lift?
Answered by Penny Nom.
How much does Luc pay for his tools?? 2008-10-20
From imran:
Luc makes $1 profit on each tool he sells. Marc makes a $2 profit while paying $5 less for his tools than Luc. Marc thus makes $6 more profit for every $100 invested. How much does Luc pay for his tools??
Answered by Penny Nom.
Maximize revenue 2008-10-08
From Donna:
A university is trying to determine what price to charge for football tickets. At a price of 6.oo/ticket it averages 70000 people per game. For every 1.oo increase in price, it loses 10000 people from the average attendance. Each person on average spends 1.5o on concessions. What ticket price should be charged in order to maximize revenue. price = 6+x, x is the number of increases.
ticket sales = 70000- 10000x
concession revenue 1.5(70000 - 10000x)
I just do not know what to do with the concession part of this equation (6+x) x (70000 - 10000x) I can understand but not the concession part please help. thx.

Answered by Penny Nom.
The break even point 2008-10-03
From dina:
virgin record company has just signed a new artist to its label. They have pais the new group 25000 dollars to record their album and paid each band member 10000 dollars each. The band is not given a commission on each cd sold or downloaded, therefore, each cd sold is profit earned by virgin. How many cd's would they have to sell to break even if this new band has 5 members? Each cd is sold at the price of 20$.
Answered by Penny Nom.
A different approach to a word problem 2008-10-03
From Kenneth:
Sarah's age is 2/3 of Mary's age and 3/4 of Ruth's age. The sum of their ages is 46 years. How old is each?
Answered by Penny Nom.
Find an All Odd 4 - Digit Number 2008-10-02
From Denise:
a number has 4 different odd digits. the difference between the greatest digit and the least digit is 6, the number is greater than 2,000 and less than 3,160. what is the number?
Answered by Janice Cotcher.
Working together but one person starts first 2008-09-30
From David:
Della can scrape the barnacles from a 70 ft. yacht in 10 hours using an electric barnacle scraper. Don can do the same job in 15 hours using a manual scraper. If Della started helping Don three hours after Don started scraping, how long will it take to scrape the entire boat?
Answered by Penny Nom.
What is the perimeter of the rectangle? 2008-09-27
From Pauline:
A rectangle has an area of 27 squared inches. the height is 3 times the base What is the perimeter of the rectangle?
Answered by Penny Nom.
Working together 2008-09-22
From Wade:
My daughter and I are having problems with this question: Maggie can mow the lawn in 6 hrs. If her sister, Julie, helps her, it only take 2 hrs. How long does it take Julie to mow the lawn alone.
Answered by Penny Nom.
Geometry with A Ladder Using Trig Functions 2008-09-20
From Please:
A ladder makes an angle of 50 degrees with the ground. if the base of the ladder is 10 feet from the building, how high up the building does the ladder reach? i saw that someone else had a similar question, but we arn't using the pythagorean therom. we are using trig functions. Most of the problems we are doing is with the tangent. so this one probably is too.
Answered by Penny Nom.
A father and daughter problem 2008-09-19
From Lamarr:
A father is four times as old as his daughter is now. In 20 years he will be only twice as old as his daughter. How old are the father and daughter now?
Answered by Penny Nom.
Concert tickets 2008-09-18
From Keisha:
Gross Receipts. Six thousand tickets are to be sold for a concert, some for $9 and the rest for $15each. If x is the number of $9 tickets sold , write an algebraic expression that represents the gross receipts from ticket sales, assuming all tickets are sold. Simplify the expression.
Answered by Penny Nom.
The Width of a Mown Strip of Lawn 2008-09-15
From Rimi:
USE FACTORING, QUAD FORMULA, AND COMPLETE THE SQUARE! Chris cuts half a rectangular lawn, 40m by 30m, by mowing strips of equal width around the perimeter. Jonah cuts the small rectangle left. How wide a strip does Chris cut so that they share the work equally?
Answered by Harley J Weston.
Pages in a Book 2008-09-08
From Pandora:
Is there a easier way to explain to my child regarding "pages" problem - like when to add one? when to sub tract one? John read 46 pages in his new book. If he began reading at the top of page 33, on what page did he finish? and John needs to do 45 pages of problems in his workbook. He finished this assignment at the the bottom of page 99. On what gate did John begain? Thank you.
Answered by Walter Whiteley.
An array of tulip bulbs 2008-09-06
From Mary:
My daughter had this problem on one of her tests. She forgot to ask her teacher what she did wrong. I understand she did not answer the question in full, but what she did answer I feel is right.

Please explain to me the correct answer. Thank you. Mary

Answered by Harley Weston.
Mowing a Lawn in Concentric Bands 2008-09-05
From Mari:
two kids are mowing half of their backyard which is rectangular with dimensions 75 ft by 90 ft. The first kid starts mowing at a corner gradually working his way toward the middle by mowing concentric bands around the outside edges.If the mower cuts 3-ft wide path, at what point should the first kid stop and the second kid start mowing? THANKS!
Answered by Janice Cotcher.
A word problem with three numbers 2008-09-02
From Wanda:
"Jabari is thinking of three numbers. The greatest number is twice as big as the least number. The middle number is three more than the least number. The sum of the three numbers is 75. Find the numbers."
Answered by Victoria West.
The saddle height on a bicycle 2008-08-31
From David:
The saddle height on a bicycle should be 109% of the inside leg measurement of the rider (http://www.harriscyclery.com). If the saddle height is 37 in., then what is the inside leg measurement?

I don't know how to set up the equation if you can teach me how to set it up it would be great thanks

Answered by Harley Weston.
A fraction word problem 2008-08-29
From Sylvia:
The denominator of a fraction is 1 less than 4 times the numerator. If the numerator is doubled and the denominator is increased by 6, the value of the resulting fraction is 2/5. Find the original fraction.
Answered by Penny Nom.
How old are Brett and Jenny ? 2008-08-28
From Todd:
Brett and Jenny are each 10 years old. The sum of their ages is 11. Brett is 5 years older than Jenny. How old are they?
Answered by Janice Cotcher and Victiria West.
Abby has 45 coins 2008-08-28
From Sonia:
Use an algebraic approach to solve the problem. Abby has 45 coins, consisting only of dimes and quarters, worth $6.6. How many dimes and how many quarters does she have?
Answered by Penny Nom and Victoria West.
A triangular field 2008-08-15
From joneka:
Barb walked five times aroun a triangle field all together she walked 435 feet the first side of the triangle fiel is 23 feet the length of the other two sides are of the same measure. What are the dimensions of the triangle field?
Answered by Penny Nom.
Two problems involving reciprocals 2008-08-10
From Dee:
I have a few questions that im have trouble working out...

1. One number is three times another number; if each is increased by 1 the sum of the reciprocals is 10/21. Find the numbers

2.A tank can be filled by 2 pipes together in 6 hours; if the larger pipe alone takes 5 hours less than the smaller to fill the tank, find the time in which each pipe alone would fill the tank

Answered by Penny Nom.
Cost of pencil is rising every year since 7 years ago 2008-08-06
From Mari:
Cost of pencil is rising every year since 7 years ago. If the cost of pencil last year was 60 cents which is the sum of the cost from the last two previous years, what is the cost of the pencil now, the cost seven years ago.
Answered by Penny Nom.
The product of the digits of a four digit number 2008-07-26
From Pete:
I am a student preparing for a competition and this was one of the prep problems: The product of the digits of a four digit number is 6x5x4x3x2x1. how many such numbers are there with this property?
Answered by Stephen La Rocque.
Three consecutive positive integers 2008-07-20
From AC:
find three consecutive positive integers such that the product of the first and third, minus the second, is 1 more than 4 times the third
Answered by Penny Nom.
Two numbers whose sum is 25 and whose product is 120 2008-07-10
From Michelle:
Solve the following problem in at least two different ways.
Find two numbers whose sum is 25 and whose product is 120.

I know how to solve this problem by creating two equations x+y=25 and xy=120 and then use substitution.

Are there any different ways of solving this problem?

Answered by Janice Cotcher and Penny Nom.
Two trains 2008-07-07
From Elisha:
Trains at each end of the 50. km long Eurotunnel under the English Channel start at the same time into the tunnel. Find their speeds if the train from France travels 8. km/h faster than the train from England and they pass in 17 minutes.
Answered by Janice Cotcher and Penny Nom.
How many handshakes take place? 2008-06-26
From Peter:
Eight people of different heights are at a party. Each person decides to only shake hands with people shorter than him/herself. How many handshakes take place? My math book says it is 0. Is it wrong? If so, what is the answer?
Answered by Harley Weston.
What is the number of miles traveled by each tire? 2008-06-26
From Peter:
A car is driven 40,000 miles using four tires and a spare tire. The tires are rotated so that each tire travels the same number of miles. What is the number of miles traveled by each tire?
Answered by Penny Nom.
Four fours 2008-06-25
From jen:
Use four 4's and some of the symbols: +,-,X, / and (), to give expressions for the whole numbers from 0 through9. Example : (4X4+4)/4=5
Answered by Janice Cotcher.
An 18,000 mile automobile trip 2008-06-23
From rachel:
two men were about to start on an 18,000 mile automobile trip. The tires on their car were each good for 12,000 miles but not a foot more. how many spares will they need to go 18,000 miles
Answered by Stephen La Rocque.
I will be x years old in the year x squared 2008-06-22
From rachel:
you probably know someone who will x years old in the year x squared. When was that person born?
Answered by ha.
All wiffs are miffs and all miffs are kiffs. 2008-06-08
From Allison:
All wiffs are miffs. all miffs are kiffs. There are 25 wiffs. There are 76 kiffs. 33 kiffs are not miffs. How many miffs are not wiffs?
Answered by Penny Nom.
Tyres in a shipping container 2008-05-14
From Carlene:
I need to work out how many tyres will go in a shipping container. The shipping container is 10 foot long, 8 foot wide and 8.6 foot high. The tyre is 175 millimeters across and it is 14 inches in tyre thickness. How many tyres will fit in my container?
Answered by Stephen La Rocque.
How old are the sisters? 2008-05-11
From George:
Theresa is four years older than her younger sister Joni. Twelve years ago, she was twice as old as her sister. Find the present age of the two siblings.
Answered by Penny Nom.
Fencing a triangular field 2008-04-29
From Julieta:
The area of a field shaped like a triangle is 750yards squared. One leg of the field is fenced with wood costing $5/yd. The remainder of the perimeter of the field is fenced with steel costing $10/yd. The perimeter of the field is 150yards. the total cost of the fencing is $1200.
a. What is the length of the leg fenced with wood?
b. what is the length of the leg fenced with steel?

Answered by Penny Nom.
How many candles are on dave's birthhday cake? 2008-04-23
From karen:
on daves birthday, his brother henry is 17 years younger than 3 times dave's age,. the boys father ,tim is 17 years older than twice henry's age if dave is 7 years younger than his brother. how many candles are on dave's birthday cake?
Answered by Chris Langdon and Stephen La Rocque.
The sum of the ages of Petra and her mother is 45 2008-04-20
From Wendy:
The sum of the ages of Petra and her mother is 45. Her mother is 12 years more than twice as old as Petra. How old are Petra and her mother?
Answered by Leeanne Boehm.
A water alcohol mixture 2008-04-20
From Mary:
How many oz. of solution that is 90% alcohol ( and 10% water) is needed to be mixed with 5 ounces of a solution that is 50% alcohol in order to obtain a solution that is 80% alcohol?
Answered by Penny Nom.
The dimensions of a rectangle 2008-04-20
From Brandy:
Find the dimensions of a rectangle with a primeter of 54 cm if the length is 5 less than three times the width.
Answered by Penny Nom.
A square garden of tulips 2008-04-08
From Vincent:
Each year Brandon plants tulip bulbs in a square flower bed. This year Brandon's flower bed has 29 more bulbs than it had last year. If the flower bed is still square how many tulip bulbs are in it this year?
Answered by Penny Nom.
How much do the pumpkins weigh? 2008-04-05
From Jose:
Mr. Appleberry brought in pumpkins for science class, one for each group. The fist task wa to weigh the pumpkins, but the scales they had wouldn't register any weight under 7 pounds, and it seemed that two ot three pumpkins were under that weight. The class decided that they could weigh the pumpkins two at a time, so they weighed each pumpkin with each of other pumpkins.

The weights registered on the scale were:

7 pounds
8 pounds
9 pounds
10 pounds
11 pounds
12 pounds

How many pumpkins were there, and how much did each weigh?

Answered by Penny Nom.
How far is she from her starting point? 2008-03-30
From Nancy:
A child runs due east for 23.5m and then she runs 10.5m due south. How far is she from her starting point?
Answered by Stephen La Rocque.
A word problem about numbers 2008-03-24
From kathy:
five times a number minus a second number is 6. The sum of the numbers is 12. find the numbers
Answered by Penny Nom.
A word problem about a triangle 2008-03-23
From kathy:
The measure of the largest angle of a triangle is twice the measure of the second largest. The measure of the second largest is 20 degrees more than the measure of the smallest. Find the measure of each angle.
Answered by Melanie Tyrer.
A pen with 40 post on each side 2008-03-18
From Manpreet:
how many post do you need to make a pen with 40 post on each side
Answered by Penny Nom.
Find the present age of the two siblings 2008-03-11
From jessica:
Theresa is four years older than her younger sister Joni. Twelve years ago, she was twice as old as her sister . Find the present age of the two siblings.
Answered by Stephen La Rocque.
Average speed up and down a hill 2008-03-09
From Judith:
An old broken-down ar has to travel a two miles route, up and down a hill. Because it is so old, the car travels the first mile - the ascent - at an average speed of fifteen miles per hour. How fast must it cover the second mile - the decent - to achieve an average speed of thirty miles per hours? (There is a missing variable, but what is it?)
Answered by Penny Nom.
One number is four less than five times another number 2008-03-05
From alice:
One number is four less than, five times another number. The total of the two numbers is 50. What are the two numbers?
Answered by Penny Nom.
A puzzle about hats 2008-03-03
From Sylvia:
There were 4 people sitting in a row, truing to win $50.00 from a riddle.

The one in front was wearing a red hat. The second from the front was wearing a blue hat. The third from the front was wearing a red hat. The last was wearing a blue hat and is blind-folded.

Each of them were informed that they are all wearing a hat, the last person is blind-folded and that there are 2 red and 2 blue hats. If they can guess the colour of their hat, then they win the prize.

There was a long silence, then one of them guessed the color of his hat correctly. Who was it? and explain why.

(note that they can only see the person in front of them and are not allowed to turn around and see behind them.)

Answered by Penny Nom.
Time and a half 2008-03-01
From Travis:
Bill receives time and a half for working overtime. If Bill is paid $55 for each hour of overtime, how much is his regular hourly wage?
Answered by Stephen La Rocque.
TV watchers on Thursday and Saturday 2008-02-28
From flor:
Thursday is the most watched night on television with 20 million more viewers than Saturday. the total for both nights is 102 million. how many viewers watch on each of these nights?
Answered by Penny Nom.
3 consecutive odd integers 2008-02-28
From Pat:
For 3 consecutive odd integers, twice the first integer, plus 5 more than the second integer, plus three less than four times the third integer equals -85. Find the 3 consecutive odd integers.
Answered by Penny Nom.
A triangle problem 2008-02-28
From Jessica:
Triangle ABC Angle C is 3 times angle A angle B is 30 degrees less than angle C what are the measurements of the angles I have the measurements and I have the Equation but I can't figure out quite how to solve it the proper way
Answered by Stephen La Rocque.
Peg has 12 more cases to unload than Mike 2008-02-20
From brianda:
Peg has 12 more cases to unload than Mike. They have a total of 150 cases to unload. How my cases does each have to unload?
Answered by Penny Nom.
I am a 4-digit number 2008-02-12
From Nickie:
I am a 4-digit number with no repeating digits. I am divisible by 5, my first two digits (left to right) make a number divisible by 3, and my first three digits make a number divisible by 4. Also, my digits have a sum of 19 and I have the digit 7 in the thousands place. Who am I?
Answered by Penny Nom.
The angles in a parallelogram 2008-02-11
From lauren:
if the sum of the measures are 360 in a parallelogram. a and d are same measures, c and b are same too. If c is twice the measure of a what are all the angles?
Answered by Penny Nom.
A square and an equilateral triangle 2008-02-10
From Emily:
A square pen and a pen shaped like an equilateral triangle have equal perimeters. Find the length of the sides of each pen if the sides of the triangular pen are fifteen less than twice a side of the square pen.
Answered by Stephen La Rocque.
A 24 hour clock 2008-01-31
From CARLA:
at a certain time i looked at a 24-hour digital clock and noticed some things about the time. (1 The number in the hours section plus the number in the minutes section makes 60.(2 One of the digits in the minutes section is the square root of the other digit in the minutes section.(3 The sum of the digits in the minutes section is the number in the hours section reversed. what is the time?
Answered by Penny Nom.
A car goes 15 miles on a gallon of gas 2008-01-26
From Raven:
A car goes 15 miles on a gallon of gas when it goes 50mph. When the car is driven 60mph it only goes 80% as far. How far will it travel on a gallon of gas at 60mph? I solved this two ways: 15 * .80 = 12 It goes only 12 miles or x/60 = 15/50 which is x = 12

This answer in the book is 4/5 * 15 = x. Then x = 12 How did they come up with 4/5?

Answered by Penny Nom.
Three consecutive odd integers 2008-01-24
From daniel:
find three consecutive odd integers such that three times the second minus the third is 11 more than the first. help! i have x+1, x+3, x+5 as my 3 odd integers is this correct its been a while.
Answered by Penny Nom.
A toad climbs the stairs 2008-01-22
From Kate:
The question is: A small toad is sitting at the bottom of the stairs. He wants to get to the 10th step, but is having some difficulty. He jumps up 2 steps and then back 1 each time. How many jumps will he take to reach the 10th step?
Answered by Stephen La Rocque and Penny Nom.
A word problem 2008-01-18
From Marouf:
How can you make a word problem for 6 2/3 and solve the word problem? I'm having trouble. Please help
Answered by Stephen La Rocque.
Two bikers race on a circular track 2008-01-17
From Abby:
Two bikers race on a circular track. Biker A can circle the track in 8 minutes, and Biker B can circle the track in 6 minutes. From the start of the race, how many minutes will it be before Biker B overtakes Biker A?
Answered by Stephen La Rocque and Penny Nom.
8 workers dug 3/8 of a tunnel in 10 days 2008-01-15
From Marc:
8 workers dug 3/8 of a tunnel in 10 days. If the need to finish the remaining 5/8 of the tunnel in 3 1/3 days, how many more workers must they hire?
Answered by Penny Nom.
Two rectangles 2008-01-15
From Paul:
If the smaller dimension of a rectangle is increased by 3 feet and the larger dimension by 5 feet, one dimension becomes 3/5 of the other, and the area is increased by 135 square feet. find the original dimensions
Answered by Penny Nom.
The sum of two numbers is 36 2008-01-14
From May:
The sum of two numbers is 36.
Their product is 320.
What are the two numbers?

Answered by Penny Nom.
What year were the girls born in? 2008-01-06
From Nyra:
Christmas 2004 was over and three teenagers were looking forward to their birthdays. Eric's was in February and Lisa's and Tammy's in January. Tammy is 8 weeks older than Eric, but 3 days younger than Lisa. What year were the girls born in?
Answered by Claude Tardif.
A rectangle is three times as long as it is wide. 2007-12-31
From Robert:
A rectangle is three times as long as it is wide. If the length is decreased by 2 cm and the width is increased by 3 cm, the new rectangle has an area of 42 cm. What are the dimensions of the original rectangle?
Answered by Penny Nom.
Sally, Charlie and Snoopy in a race 2007-12-29
From Marie:
Sally and Charlie are having a race. Charlie gets a 900 foot lead and runs 8 inches per second. Sally begins at the starting line and runs at a rate of 5 ft per second. Charlie's dog is also in the race. Snoopy starts 1100 feet ahead of Sally and runs toward the starting line at a rate of 1 foot per second.

When will Charlie and Snoopy past each other and how far will they be from the starting line?

Answered by Penny Nom.
Three workers working together 2007-12-18
From Rajesh:
Worker A can do a piece of work in 15 days, worker B in 12 days, and worker C in 10 days. Worker A works 2 days, worker B 3 days, and worker C 3 days. In what time can worker A and worker B finish the job by working together?
Answered by Penny Nom.
How many houses must they paint? 2007-12-12
From Natalie:
The question is: Four boys work together,painting houses for the summer.For each house they paint they get 256 pounds. If they work for four months of the summer and their expenses are 152 pounds per a month, how many houses must they paint for each of them to have one thousand pounds at the end of the summer?
Answered by Penny Nom.
Find the perimeter of the original rectangle. 2007-12-11
From Hannah:
The area of a rectangle is 360 square meters. If the rectangle's length is increased by 10 meters and the width is decreased by 6 meters, its area does not change. Find the perimeter of the original rectangle.
Answered by Melanie Tyrer.
Delivering microwave ovens 2007-12-02
From Barbara:
Fernando and Kevin are delivering microwave ovens to a local appliance store, whose freight elevator can hold no more than 900 pounds. If Fernando weighs 180 pounds, Kevin weighs 240 pounds, and the microwave ovens weigh 30 pounds each, how many microwaves can Fernando and Kevin deliver at one time if they must ride in the elevator as well?
Answered by Stephen La Rocque.
Elimination of mayan prisoners 2007-11-19
From Jim:
An evil Mayan emperor decides to make an example of 1,000 prisoners. He stands them in a circle with numbers one to a thousand marked on their shirts. He then starts counting: "one in, two, in three out" The third man is immediately executed. This continues round and round and round the circle. While the number in the circle shrinks, every third prisoner is pushed out and executed. And it continues even when there are only two prisoners left alive. What number is on the last prisoner's shirt?
Answered by Victoria West.
Red balls and blue balls 2007-11-18
From Md:
In a group of 15, 7 have Red Balls, 8 have Blue Balls and 3 have neither. What fraction of the group has both Red Balls and Blue Balls?
Answered by Stephen La Rocque.
Red hens and white hens 2007-11-18
From Rapin:
In 15 days, 4 white hens and 3 red hens lay eggs equal to 3 white hens and 5 red hens lay eggs in 12 days , how many days that white hens can lay eggs the same amount as red hens lay eggs in 20 days ?
Answered by Steve La Rocque and Penny Nom.
A quadratic function word problem 2007-11-12
From liz:
A kernal of popcorn contains water that expands when the kernal is heated, causing it to pop. The equations below give the "popping volume"y(in cubic centimeters per gram) of popcorn with moisture content x(as a percent of the popcorn's weight).

hot air popping: y = -0.761x^2 + 21.4x-94.8
hot oil popping: y = -0.652x^2 + 17.7x -76.0

A) for hot air popping, what moisture content maximizes popping volume? What is the maximum volume?
B) For hot oil popping, what mositure content maximizes popping volume? What is the maximum volume?
C) the moisture content of popcorn tyipcally ranges from 8% to 18%. Graph the equations for hot air and hot oil popping on the interval 8 less then or equal to x and less then or equal to 18.
D) Based on the graphs from part(c), what general statement can you make about the volume of popcorn produced from hot air popping verus hot oil popping for any moisture content in the interval8 less then or equal to x and less then or equal to 18.

Answered by Penny Nom.
I have 23.50 in quarters and dimes 2007-11-09
From hannah:
i have 23.50 in quarters and dimes. if i have 15 more dimes than two times the amount of quarters i have, how many coins do i have total?
Answered by Penny Nom.
A rectangular-shaped bedroom 2007-11-08
From Svitlana:
Professor Reissig is doing renovations on one of the rectangular-shaped bedrooms in his house. He is putting up a border around the room. The room’s length is seven feet more than two-thirds of its width. The area of this bedroom is one hundred eighty square feet. If the border costs $1.25 per six inches, what is the minimum cost for the border?
Answered by Penny Nom.
Chris has twice as many $1 bills as pennies 2007-11-02
From vicky:
Chris has twice as many $1 bills as pennies, twice as many dimes as he has $10 bills, and twice as many pennies as he has dimes. How much money does he have?
Answered by Penny Nom.
The length of a rectangle is twice the width 2007-10-26
From Tami:
The length of a rectangle is twice the width. The number of square units in it's arear is four times the number of units in it's perimeter. What are the dimensions of the rectangle?
Answered by Penny Nom.
The dimensions of a rectangle 2007-10-14
From Elizabeth:
The perimeter of a rectangle is 20m. The area is 20sqm. Calculate the dimensions of the rectangle. Give your answers correct to two decimal places.
Answered by Penny Nom.
Nickels, dimes and pennies 2007-10-14
From tom:
you have $1.00 and 1/5 of it is dimes, 2/15 is nickels, and 2/3 is pennies. How many coins of each are there. how do i set it up to solve this problem. thanks, tom
Answered by Penny Nom.
How many students attended the get-together? 2007-10-11
From Diane:
Some students planned for a get-together. The budget for food was $500. Five of the students failed to come because of the distance and therefore the cost of food for each member increased by $5. How many students attended the get-together?
Answered by Stephen La Rocque.
Problems solved using quadratic equations 2007-10-07
From Lisa:
a. Two positive numbers differ by 5. Their product is 234. What are the two numbers? b. The sum of two numbers is 12. Their product is 30. What are the two numbers? c.Two numbers differ by 5. Their squares differ by 55. What are the two numbers? d. The sum of two numbers is 15. Their product is 56. By forming an equation, find the two numbers.
Answered by Penny Nom.
Working together 2007-09-21
From farah:
A can do a piece of work in 10 days while B can do the same work in 15 days . They work together for 5 days and the rest of the work is done by C in 2 days . If they get 400$ for the whole work , what should be A's share.
Answered by Harley Weston.
A word problem 2007-09-17
From Martin:
One more than the difference between 18 and seven times a number is -9
Answered by Stephen La Rocque.
Taping the gym floor 2007-09-17
From Marina:
You are helping the coach tape lines on the gym floor to divide the length of the gym into 8 lanes of the same size. If it takes one minute to tape a line,how long will it take to do the job. State the strategy /strategies you used and why?
Answered by Penny Nom.
How many vertices are there? 2007-09-10
From Makayla:
I've just started the 4th grade and I am having trouble with a question on my homework. The questions is: Carrie is arranging sticks to make shapes. she has made a closed figure, with 10 sides How many vertices are there? I believe the answer is ten but I'm not sure.
Answered by Stephen La Rocque and Walter Whiteley.
How many stairs in the flight are stepped on exactly once? 2007-09-03
From Bill:
Four friends are racing together down a long flight of stairs. A goes 2 steps at a time, B 3 at a time, C 4 at atime and D 5 and at a time. The only steps on which all four tread are the top one and the bottom one. How many stairs in the flight are stepped on exactly once.
Answered by Harley Weston.
A word problem 2007-08-31
From Regian:
How can I write a word problem for the following numerical expression 3 (4+3)+2 And then how do I simplify the expression
Answered by Penny Nom.
What are the two numbers? 2007-08-13
From Tiffany:
The sum of two number is 29.The difference is 1. What are the two numbers?
Answered by Stephen La Rocque, Melanie Tyrer and Penny Nom.
At what speed does Chuck travel? 2007-07-27
From Jessica:
Chuck and Dana agree to meet in Chicage for the weekend. Chuck travels 224 miles in the same time that Dana travels 204 miles. If Chuck's rate of travel is 5 mph more than Dana's, and they travel the same length of time, at what speed does Chuck travel?
Answered by Harley Weston.
What are the dimensions of the field? 2007-07-23
From Debourah:
a soccer field is 1080 square meters the width is 2 meters less than one-third the length. What are the dimensions of the field?
Answered by Penny Nom.
A square and an equilateral triangle have the same perimeter. 2007-07-02
From eve:
I am trying to help my daughter with the following problem: A square and an equilateral triangle have the same perimeter. The sum of one side of the square and one side of the triangle equals 28 cm. Find the sides of the figures.
Answered by Penny Nom.
A ten- foot long board is cut into three pieces 2007-06-12
From Cynthia:
How do I solve this problem?

A ten- foot long board is cut into three pieces. The second piece is half as long as the first. The third piece is 4 1/2 longer than the second. How long is the first?

Answered by Penny Nom.
What is the total weight of the fish? 2007-06-08
From Mike:
The tail of a fish weighs 9 oz. The head weighs as much as the tail and half of the body. The body weighs as much as the head and tail combined. What is the total weight of the fish?
Answered by Stephen La Rocque.
Optimization - carrying a pipe 2007-05-05
From A student:
A steel pipe is taken to a 9ft wide corridor. At the end of the corridor there is a 90° turn, to a 6ft wide corridor. How long is the longest pipe than can be turned in this corner?
Answered by Stephen La Rocque.
The sum of the ages of petra and her mother is 51 2007-05-05
From Natakie:
the sum of the ages of petra and her mother is 51. Her mother is 12 years more than twice as old as petra. how old are petra and her mother.
Answered by Stephen La Rocque.
Comparing two pay scales 2007-05-03
From san:
Mable is offered a job selling magazine subscriptions. She has the choice of two pay scales. Pay scale 1:
She can be paid $0.65 for each subscription she sells.
Pay scale 2:
She can be paid $0.10 for the first subscription, with the wage gong up $0.05 more for each subscription after the first.
For her first sale she would make $0.10, for her second sale she would make $0.15, for her third sale she would make $0.20, and so on.
Please compare and analyze the two scales. Which scale is better?

Answered by Penny Nom.
A cylinder inside a sphere 2007-04-25
From Louise:
i need to find the maximum volume of a cylinder that can fit inside a sphere of diamter 16cm
Answered by Penny Nom.
A corny problem 2007-04-21
From Robby:
My name is Robby and I need help with a problem. I have found at least 4 correct answers, but I can't figure out how I got the answer or if there is a formula that I can use. I got my answers by trial and error. Problem: One hundred bushels of corn are to be divided among 100 men, women, and children. Men get 3 bushels each. Women get two bushels each. Children get 1/2 bushel each. How can the bushels be distributed with no leftovers? Is there more than one solution? So far, I have 4 answers: 8 men,20 women, and 72 children, 2 men, 30 women, and 68 children, 5 men, 25 women, and 70 children, and 11 men, l5 women, and 74 children. I need to know if there is a formula to use, or if it's just trial and error, or if a pattern is involved.
Answered by Stephen La Rocque and Penny Nom.
By how many feet was each dimension increased? 2007-04-18
From Becca:
A rectangle is 8 feet long and 6 feet wide. If each dimension is increased by the same number of feet, the area off the new rectangle formed is 32 square feet more than the area of the original rectangle. By how many feet was each dimension increased? I need a diagram and 5 or more sentences for an explanation. Thanks!
Answered by Stephen La Rocque.
One number is 12 more than another. 2007-04-14
From Devon:
One number is 12 more than another. The sum of the smaller number and twice the larger number is 39. Find the larger number.
Answered by Penny Nom.
Word problems 2007-04-13
From Perla:
1.A school district is proposing a 5% increase in the numbber of days in a school year. How long would a school year be with the proposed increase?

2. Keikio spent the day bird watching and counted 34 more birds in the morning than in the afternoon. If she counted a total of 76 birds, how many birds did she count in the afternoon?

Answered by Penny Nom.
Word problems 2007-04-09
From Danielle:
I am teaching a student who cannot understand which operation to use when doing word problems. I have tried a number of different ways to show him...any suggestions?
Answered by Haley Ess.
How far apart are the cars? 2007-04-07
From ian:
2 cars set off in opposite directions and travel for 6 miles, they both take a left turn, and travel for a further 8 miles........... how far apart are the cars???

a) 10 miles
b) 22 miles
c) 20 miles
d) 18 miles

Answered by Penny Nom.
Inscribed square in inscribed circle 2007-03-25
From Confuzzled:
"The largest possible circle is drawn inside a square. Then the largest possible square is drawn inside this circle. What is the area of the inner square as a fraction of the area of the outer square?"
This is a question from the Grade 8 Gauss contest and I don't know how to work it out without drawing it. My teacher says it's possible but I still don't get it. Please help!!!

Answered by Stephen La Rocque.
Nickels, dimes and quarters 2007-03-18
From Alexandra:
Ellen has two more nickels than dimes and three more quarters than nickels. She has $3.35 in all. How many coins of each type does she have?
Answered by Penny Nom.
Two busses 2007-03-15
From Devon:
A bus leaves a station at 1 p.m., traveling west at an average rate of 44 mi/h. One hour later a second bus leaves the same station, traveling east at a rate of 48 mi/h. At what time will the two buses be 274 mi apart?
Answered by Steve La Rocque and Penny Nom.
Who won the backstroke? 2007-02-26
From Timothy:
Three girls held a series of swimming races among themselves. They decided to award a positive whole number of points for finishing first, second and third, where the number of points for first was more than the number for second, which was more than the number for third. The same number of points was awarded for the place in each race. There were no ties.

The first race was breaststroke. Altogether Sarah accumulated 20 points, Michelle 10 points and Catherine 9 points. If Sarah did not win the backstroke race, who did win the backstroke?

Answered by Penny Nom.
How old are they now? 2007-02-26
From Ali:
Please help us. My daughter can't get this answer. The sum of Louise's age and Todd's age is 34. 5 years ago the sum of twice Louise's age and 3 times Todd's age was 61. How old are they now?
Answered by Haley Ess and Steve La Rocque.
Alligation 2007-02-09
From Shanah:
Orders: 360 mL of 75% acetic acid Stock: 99% acetic acid and distilled water Find the volume of acetic acid and distilled water to get the needed concentration. Any help with this is greatly appreciated, Thanks
Answered by Stephen La Rocque.
Dividing money unequally 2007-02-06
From Linda:
I have a total of $13,826.48. It is to be divided by 15 kids - 2 of the kids only get half of what the other 13 do - how much do the 13 get and how much does the 2 get? Thanks
Answered by Haley Ess and Steve La Rocque.
More on a man and his wife on an escalator 2007-02-02
From Patrick:
Hello, I was helping my son with a homework problem and came across a very similar on your site:

http://mathcentral.uregina.ca/QQ/database/QQ.09.01/monty1.html

We are trying to understand the answer shown. There seems to be leap, in the answer that isn't explained or we can't see it. Specifically in the answer it says:

"We know that the woman olny walks 21 steps to reach the top, and thus in the time she walks 7 more steps the escalator also goes up 7 steps. Hence the woman and the escalator are travelling at the same rate."

We understand that she still has 7 steps left, but how is it that you can conclude from that (or other factors) that during those 7 steps the escalator will also travel 7 steps.

Thanks in advance for any help you can offer. Pat

Answered by Stephen La Rocque.
Fencing a field 2007-02-01
From Carol:
"The area of a rectangular field is 1200m^2. Two parallel sides are fenced with aluminum at $20/m. The remaining two sides are fenced with steel at $10/m. The total cost of the fencing is $2200." What is the length of each side fenced with aluminum and steel?
Answered by Stephen La Rocque.
A right triangle 2007-01-29
From Tayler:
One leg of a right triangle is 8 cm. less than the hypotenuse while the other leg is 1 cm. less than the hypotenuse. Find the length of the hypotenuse.
Answered by Penny Nom.
The sum of the digits of a two-digit number is 13. 2007-01-27
From Liz:
The sum of the digits of a two-digit number is 13. If the digits are reversed, the new number is 9 more than the original number. Find the original number.
Answered by Penny Nom.
A word problem 2007-01-05
From Harold:
the sum of one number plus four less than five times another is 26.
Answered by Penny Nom.
The average of 3 tests 2006-12-12
From Charles:
If you average 84 on first three test and the first score was 67. The second score was 7 less than the third score. What was the score on the second and third test.
Answered by Stephen La Rocque.
A Norman window 2006-11-30
From Joe:
a norman window is a rectangle with a semicircle on top. If a norman window has a perimeter of 28, what must the dimensions be to find the maximum possible area the window can have?
Answered by Stephen La Rocque.
Two trains left the station at the same time and traveled in opposite directions. 2006-11-18
From Tori:
Two trains left the station at the same time and traveled in opposite directions. The E train averaged 130 km/h. The A train's speed was 110 km/h. In how many hours were they 480 km apart?
Answered by Stephen La Rocque.
Apples and plums 2006-11-13
From Saif:
the problem i am stuck with is, nicole buys 2.3kg apples 1.8kg plums she pays £7.18 total plums cost £2.20per kg cost 1kg apples what is the cost of 1kg of apples
Answered by Stephen La Rocque.
After how many hours will the class have been notified? 2006-11-10
From Brittany:
A college math class consists of 32 students. On Monday at 9:00 a.m., the teacher tells one student to notify other students that the test scheduled for Wednesday at 9:00 a.m. has been cancelled. The model for the number of students in the class who will have heard this information after t hours is N=32-32e^-0.02t. After how many hours will the class have been notified?
Answered by Stephen La Rocque.
A mixture problem 2006-11-05
From Lynne Rae:
How many kg of 30% salt solution by mass and 40% salt solution by mass should be mixed to form 200kg of 37% salt solution by mass?
Answered by Penny Nom.
Bill has four more dimes than nickels ... 2006-11-05
From Allison:
bill has four more dimes than nickels, and seven fewer nickels than pennies.he has a total of $3.35. how many of each kind of coin has he?
Answered by Karen McIver.
The sum of two numbers is 30 2006-11-03
From GG:
The sum of two numbers is 30 and the product of the same two numbers is 221. Find the two numbers.
Answered by Stephen La Rocque.
Paddeling on the Alleman River 2006-10-31
From Anita:
Len is planning a three-hour trip down the Alleman River and back to his starting point. He knows that he can paddle in still water at 3 mph and that the rate of the current is 2 mph. How much time can he spend going downstream? How far downstream can he travel?
Answered by Penny Nom.
How much labor should the firm employ? 2006-10-28
From Christy:
A dressmaking firm has a production function of Q=L-L(squared)/800. Q is the number of dresses per week and L is the number of labor hours per week. Additional cost of hiring an extra hour of labor is $20. The fixed selling price is P=$40. How much labor should the firm employ? What is the resulting output and profit? I am having a difficult time with this, HELP!
Answered by Stephen La Rocque.
Ridingcap's daughter 2006-10-23
From Marcus:
Ridingcap's daughter,whose real name was Coleen, set out for grandma's house again. This time she was delivering jam and jellies. First she stopped to see Mrs. Parsley,who took in grandma's mail while grandma was @ the hospital recovering from the wolf. Colleen gave Mrs. Parsley one third of the jars in her basket. Then Colleen set out again,and suddenly the wolf jumped out behind the bush and grubbed one half of the jars in Colleen's basket. When the wolf ran off, Colleen went on and gave Mr .Woodsman two thirds of what was left in her basket. Colleen had six jars of jam and jellies left for grandma. HOW MANY JARS DID COLLEEN LEAVE HOME WITH
Answered by Stephen La Rocque.
Word equations 2006-10-22
From Samira:
One half of a number is subtracted from the sum of one-third and one-quarter of the same number. If the result is 16, find the number.
Answered by Stephen La Rocque.
Word problem 2006-10-22
From Sabrina:
Thomas bought a badminton racquet and paid for it in quarters. If Thomas had used nickels and dimes, he would have needed 20 more dimes than quarters and one more than twice as many nickels as quarters. How much much did the badminton racquet cost?
Answered by Stephen La Rocque.
Two word problems 2006-10-02
From Eve:

1. A surveyor's map shows a plan for the rectangular rose garden whose area is
a2+25ab-350b2. Find an algebraic expression for the length and width. If a=20 ft and b=10 feet, find the actual dimensions of the garden.

2.A square is enclosed in a circle. The area of the square is (4r2-32r+64)sq cm and the area of the circle is 484r2 sq cm. Write a polynomial in factored form to represent the difference of the two areas.


Answered by Stephen La Rocque.
How long will it be before the two snails meet? 2006-09-21
From Brett:
Two snails are 8.5 feet apart. They start to crawl toward each other at the same time. One of them travels at the speed of 6 in. per minute, while the other zips along at 11 inches per minute. How long will it be before the two snails meet?
Answered by Penny Nom.
How much did I spend on the first trip? 2006-09-10
From Alexander:
I have $600 to spend.
I take 10 shopping trips.
Each trip I spend $10 more than the last trip.

How much did I spend on the first trip?
Answered by Stephen La Rocque.

A triangle problem 2006-08-06
From A student:
A triangle is such that its medium side is twice as long as its shortest side, and its longest side is three times as long as its shortest side. The perimeter of the triangle is 54 yards. What are the lengths of the three sides?
Answered by Penny Nom.
Some word problems 2006-06-30
From Oliver:

Question: I am a father of a 10 years old boy and sending this question from Bangkok, Thailand. I need solutions for the following:

1
Joseph and Peter spent $45 altogether.
Joseph and Harold spent $65 altogether.
If Harold spent 3 times as much as Peter, how much did Joseph spent?

I know the answer is $35 but do not know how to get to it.

2
.
.
.


Answered by Penny Nom.
A jar contains 36.25$ 2006-06-12
From Brunia:
A jar contains 36.25$ in pieces of 0.10 and of 0.25$. If it there has 250 change pieces in all, how much there he has pieces of 0.25$ in the jar.
Answered by Penny Nom.
Tiling a floor 2006-06-08
From Marguerite:
A builder is adding a 20' X 28' addition to a house. He has two choices: he can use 8" X 8" tile @ $.98 a tile or 12" X 12" tile @ $1.98 a tile. How much money would he save by using the least expensive choice?
Answered by Stephen La Rocque and Penny Nom.
Three purses 2006-05-22
From Marcee:
If you take $20 from the first and put it into the second of three purses, the second would then contain 4 times as much as remains in the first. If $60 of what is now in the second is put into the third, the third will contain twice what is in the first and second together. Now, if $40 be removed from the third and put into the first, there will be half as much as in the third. What did each purse originally hold?
Answered by Penny Nom.
Three questions 2006-05-17
From Diane:

Question:

I

What is the largest real number less than 10?
1- there is no largest real number less than 10 or
2- 9
or
3- 9.999...

II

Given that not (a and b) implies c.What does
(not c) imply ?
1-a and b
2- (not a and b) or (a and not b)
3- (not a and b) or (a and not b)
4- a or b

III

What are the x and y intercepts of the equation
2x + 3y -6 =0 ?
1- x=3 and y=2
2- x=6 and y=-2
3- -3x + 2y =0


Answered by Paul Betts.
Cutting a piece of PVC pipe 2006-05-03
From Shonda:
A plumber has a 10' piece of PVC pipe. How many 9/5 foot pieces can be cut from the 10' piece?
Answered by Penny Nom.
A word problem with fractions 2006-05-02
From Stuart:
I have 54 1/4 yards of material. i need to cut as many pieces as possible out of it that are 3 1/12 long. how many pieces will you get and how much is left over?
Answered by Stephen La Rocque.
How many people are in the race? 2006-04-07
From Marty:
You're in a race with 1/5 of the racers ahead of you and 5/6 of them behind you. How many people are in the race?
Answered by Penny Nom.
Piecewise functions 2006-03-21
From Kris:
First Problem:
Southeast Electric charges .09 cents per kilowatt-hour for the first 200 kWh.The company charges .11 cents per kilowatt-hour for all electrical usage in excess of 200 kWh. How many kilowatt-hours were used if a monthly electric bill was $57.06? The answer I came up with is 360, is that right? and also how do I set it up in an equation form?

Second Problem:
A construction worker earned $17 per hour for the first 40 hr of work and $25.50 per hour for work in excess of 40 hr. One week she earned $896.75. How much overtime did she work? I came up with 8.5 hrs over-time worked. Again I don't know how to set up the equation to come up with the answer.

I need some pointers on how to figure out story problems! If you have any suggestions that would help me out I would be very grateful.

Answered by Penny Nom.
What percentage of the seniors polled yes? 2006-03-20
From Jean:
An equal number of juniors and seniors responded to the question, "Do you like math?" Each respondent said yes or no. If 70% of those who said yes were seniors and 80% of those who said no were juniors, what percentage of the seniors polled yes?
Answered by Penny Nom.
Back to the nines 2006-03-15
From Victoria:

Can you answer this problem, does an answer exist?

  • Get a set of numbers 1-9 !
  • Using the whole set of nine number tiles (digits 1-9), try to arrange them to make three 3-digit numbers so that the sum of the first two is the third.
Can this be done without carrying over? If not can it be done without carrying over into the hundreds column?

Answered by Claude Tardif.
Zhi Wei was born on christmas day in 1983. 2006-02-14
From Clement:
Zhi Wei was born on christmas day in 1983. His father shares the same birthday, but he was born in 1951. In which year will Zhi Wei's age be exactly 1/3 of his father's age?
Answered by Stephen La Rocque.
The box of maximum volume 2006-02-01
From Elizabeth:
A box factory has a large stack of unused rectangular cardboard sheets with the dimensions of 26 cm length and 20 cm width.
The question was to figure what size squares to remove from each corner to create the box with the largest volume.
I began by using a piece of graph paper and taking squares out. I knew that the formula L X W X H would give me volume. After trial and error of trying different sizes I found that a 4cm X 4cm square was the largest amount you can take out to get the largest volume. My question for you is two parts

First: Why does L X H X W work? And second, is their a formula that one could use, knowing the length and width of a piece of any material to find out what the largest possible volume it can hold is without just trying a bunch of different numbers until you get it. If there is, can you explain how and why it works.

Answered by Penny Nom.
Word problems 2006-01-27
From Duk:
One kind of candy sells for 90cents more a pound than another kind. A pound of each sells for a total of $5.10. What is the selling price of each kind?


A soft drink sells for 20 cents more than the deposit required on the bottle. The cost of the soft drink and the bottle deposit totals 70cents. How much is the soft drink? The bottle deposit?

Answered by Penny Nom.
Joey had 8 drinking glasses, all of different sizes. 2005-12-29
From Danielle:
Joey had 8 drinking glasses, all of different sizes. he has lined them up from smallest to largest and numbered them #1 (smallest) to #8 (largest). he knows that glass #4 holds 10 ounces and that glass #7 holds a pint, or 16 ounces. Now he wants to figure out how much all the others hold!

He experiments by filling up different glasses with water and pouring the water back and forth into other glasses. Her are his results:

Answered by Penny Nom.
Two dogs and a flea 2005-12-23
From Michelle:
Two dogs, each traveling at 10 ft/sec, run toward each other from 500 feet apart. As they run, a flea flies from the nose of one dog to the nose of the other at 25 ft/sec. The flea flies between the dogs in this manner until it is crush when the dogs collide. How far did the flea fly?
Answered by Penny Nom.
A rectangle has a length that is 7cm more than twice the width 2005-12-21
From Stephanie:
A rectangle has a length that is 7cm more than twice the width. The area of the rectangle is 60cm squared. Find the dimensions of the rectangle.
Answered by Penny Nom.
Skeeball 2005-12-21
From Jenny:
Kira and Dajuan decided to have a Skeeball contest. They each played one game to see who would get the highest score. A description of their contest follows:
Answered by Denis Hanson.
A word problem 2005-12-19
From Karen:
A package designer wants to protect an expensive book with a 5 cm wide cardboard rim. The area of the rim is equal to the area of the book. What is the length of the book? (The book is square)
Answered by Penny Nom.
A max-min problem 2005-12-16
From Julie:
A car travels west at 24 km/h. at the instant it passes a tree, a horse and buggy heading north at 7 km/h is 25 km south of the tree. Calculate the positions of the vessels when there is a minimum distance between them.
Answered by Penny Nom.
Mrs. Faria lives on an island 2005-12-15
From Julie:
Mrs. Faria lives on an island 1 km from the mainland. She paddles her canoe at 3 km/h and jogs at 5 km/h. the nearest drug store is 3 km along the shore from the point on the shore closest to the island. Where should she land to reach the drug store in minimum time?
Answered by Penny Nom.
Pat invested a total of $3000 dollars 2005-12-14
From Duane:
Pat invested a total of $3000 dollars. part of the money yields 10 percent interest per year and the rest yields 8 percent interest per year if the total yearly interest is $256 how much did pat invest at 10 per cent and how much at 8 percent.
Answered by Penny Nom.
A long distance call 2005-12-05
From A student:
The Small World long distance phone company charges 55cents for the first minute of a long distance call and 23cents for each additional minute.

1. How much would a 10- minute long-distance call cost?

2. If a call costs $4.55. how long did the call last?

3. Write an equation for the total cost, C, of an m-minute long-distance call.

Answered by Penny Nom.
Two word problems 2005-11-14
From Jennifer:

1. Every other person on a school's parent advisory committee is surveyed to determine how many people support passage of a school bond to build a new elementary school. Is this a good sample? Why or why not?

2.What is the difference in elevation between the highest point in California,Mount Whitney,which towers 4421 meters above sea level, the lowest point in California,Death Valley, which lies 86 meters below sea level?


Answered by Harley Weston.
A picture window 2005-11-14
From Marcos:
The length of a picture window is 2 feet longer than twice its width. If the diagonal of the window is 13 feet, find the dimensions of the window.
Answered by Penny Nom.
Add one 1 at the beginning and at the end of a number 2005-11-13
From Samuel:
If we add one 1 at the beginning and at the end of a number, this number is increased by 14789. What is the sum of the digits of the number?
Answered by Penny Nom.
Mario is 16 years older than his youngest sister, Mercedes. 2005-11-08
From Jennifer:
Mario is 16 years older than his youngest sister, Mercedes. Together, their ages total 36 years . How old is each person?
Answered by Paenny Nom.
How many passengers boarded the plane in Phoenix? 2005-11-03
From Vish:
Passengers boarded a plane in Phoenix. In Dallas 1/2 of the passengers got off and 4/5 of the original number got on. In Memphis 3/4 of the passengers got off and twice the number of remaining passengers got on. In Chicago 2/3 of the passengers got off the plane leaving 39 passengers. How many passengers originally boarded the plane in Phoenix?
Answered by Penny Nom.
Writing an equation 2005-11-01
From Richie:
A man's electric bill is $23 less than his gas bill. The two utilities cost him a total of $109. Find the amount of his gas bill.
Answered by Penny Nom.
sin(kx) = x 2005-10-20
From David:
What is an integer value for k so that sin(kx) = x has exactly 2005 solutions? How does one arrive at the answer?
Answered by Harley Weston.
A boat weighs 1500 lb more than its motor ... 2005-10-17
From Dimitri:
A boat weighs 1500 lb more than its motor and 1900 lb more than its trailer. Together the boat and motor weigh five times as much as the trailer. How much does the boat weigh?
Answered by Penny Nom.
Jim is travelling from Toronto to Ottawa 2005-08-15
From Eleanor:
Hi! I am looking for an easy way to solve this type of question: Jim is travelling from Toronto to Ottawa, a distance of 435 miles. He travels part of the way at a speed of 100 km/h and because of an accident, he uses a secondary road and travels at 70 km/h. If the trip took him 6.5 hours, how far did he travel on each of the two roads.
Answered by Penny Nom.
Trading fish for bread 2005-02-25
From Mike:
Byron lives where people trade goods they produce for other things they need. He has some fish and wants to trade them for bananas. He finds the following:
5 fish = 2 loaves of bread
6 oranges = 2 melons
1 loaf of bread = 1 banana and 3 oranges
4 loaves of bread = 14 oranges
How many bananas can Byron get with 5 fish?

Answered by Penny Nom.
By how much is 100 multiplied or divided,... 2005-01-27
From Benedict:
By how much is 100 multiplied or divided, so that whether the number obtained is divided by 5 or 7, there will be a remainder of 1 and so that at the same time, the first quotient is greater by 4 than the second?
Answered by Penny Nom.
Profit 2005-01-10
From Abraham:
The profit a coat manufacturer makes each day is modeled by the equation P(x)=-x2+120x-2000, where P is the profit and x is the price for each coat sold.For what values of x does the company make a profit?
I don 't understand this problem(how to do it) and hope you can help me.

Answered by Penny Nom.
Planting trees 2004-11-15
From Heather:
Design a plan of how it would be possible to plant 10 trees in 5 rows, and have 4 trees in each row.
Answered by Penny Nom.
A mixture problem 2004-09-30
From Abraham:
A chemist has one solution that is 35% pure acid and another solution that is 75% pure acid. How many cubic centimeters of each solution must be used to produce 80 cubic centimeters of solution that is 50% acid?
Answered by Penny Nom.
Three word problems 2004-09-12
From Adrian:

1. Increasing area of a field: Julia's soybean field is 3m longer than it is wide. To increase her production, she plans to increase her to increase both the length and width by 2m. If the new field is 46m2(2nd power) larger than the old field, then what are the dimensions of the old field?

2. Width of a Football Field: If the perimeter of a football field in the NFL including the end zones is 1040 ft and the field is 120 yd long, then what is the width of the field in feet?

3. Fencing dog pens Clint is constructing two adjacent rectangular dog pens. Each pen will be three times as long as it is wide, and the pens will share a common long side. If Clint has 65 ft of fencing, what are the dimensions of each pen?


Answered by Penny Nom.
A travelling salesman 2004-09-09
From Liz:
A salesman traveled due west from city A to city B. The distance he traveled, that is the ditance from A to B, was X miles. He returned from B to A and found that he had traveled half the distance, X/2 miles. How can that be?
Answered by Chris Fisher and Penny Nom.
Crossing a river 2004-09-09
From Barb:
Nine men and two boys, trekking through the jungle, need to cross a river. They have a small inflatable boat and it's easy enough to row it across the river. The boat, however, can hold no more than one man or the two boys. How can they all get across? (Hint. suppose there was only one man and two boys) Does it make math sense and what would the answer be
Answered by Penny Nom and Claude Tardif.
Word problems 2004-05-19
From A student:
why can't 2nd graders have a easy time doing word problems and drawing pictures with it
Answered by Diane Hanson.
The problem of Apollonius 2004-04-25
From Mitja:
There are given 2 circles lying one out of another and one point out of both circles. How to construct a circle passing through a given point and internally tangent to one and externally tangent to the other cirlce?
Answered by Chris Fisher.
Red riding hood 2004-02-14
From Frank:
Red riding hood had a number of jars to take to grandma's house. As she traveled she gave away 1/3 of them to an old lady. Then later As she walked through the forest a wolf stole 1/2 of her remaining jars. When she arrived at grandma's house she gave her 2/3 of the remaining jars. She kept 6 jars for herself. How many jars did she start out with.
Answered by Diane Hanson.
Three numbers are added in pairs 2004-02-12
From Jane:
When three numbers are added in pairs, the sums of the pairs are 22, 39, and 45. What are the three numbers?
Answered by Penny Nom.
A quadratic word problem 2004-02-04
From Carl:
A walkway of uniform has 72m2 and surrounds a swimming pool that is 8m wide and 10m long. Find the width of the walkway.
Answered by Penny Nom.
Unusual occurances 2004-01-08
From Martin:
My wife and I have a question about the probability of something that happened to us a few years ago. So far, no one has been able to give me even an approximate answer. On my 32nd birthday, my wife and I went out to eat at local Japanese hibachi style restaurant. At the restaurant, couples/families are sat together around the hibachi where the cook performs a show. There was a fifteen minute or so wait, so my wife and I sat in the lounge waiting for our name to be called. When they called our names for the reservation, this is what happened. The first group called was the Martin family. Then they called the Francis family. We were the next family to be called, the Ashton family. My full name is Martin Francis Ashton! I think the odds of that happening to someone are very unlikely, but it did, and there is more. Next, we were all sat at the same table in that order, "Martin" family, "Francis" family, then us, the "Ashton" family. Again, it formed my full name!
Answered by Penny Nom.
Laying decorative bricks 2004-01-07
From Duk:
Loren is laying decorative brick along both edges of the 21-meter walkway up to his house. Each brick is 0.26 meters long. He is placing the bricks end to end. How many bricks does he need to do the job?
Answered by Penny Nom.
Diamonds and Pearls 2003-12-11
From Lauren:
A crown holds a total of 3080 jewels.
It is made up of diamonds and pearls.
There are 10 times as many diamonds as there are pearls.
How many pearls are there?

Answered by Penny Nom.
Mr.Carter is very cautious 2003-11-26
From Bob:
Mr.Carter is very cautious. He decides to invest in only three stocks: one low stock, one high stock, one medium stock. Given that the expected annual yields are 6% for low stock, 7% for medium stock, and 8% for high stock, he wants his investment in medium stock to be half of his total investment in low and high stock. How much should I invest in each type fo stocks to expect a total annual return fo $650 form my investments?
Answered by Harley Weston.
Mixing Brazil nuts and cashews 2003-11-09
From Bob:
Cashews are sold for 1.20 per 1/4 pound and Brazil nuts are sold for $1.50 per 1/4 pound. If you mix 20lbs of Brazil nuts, how many cahsews would it take to make a mix that sells for $1.30 per 1/4 pound?
Answered by Penny Nom.
A worm on a hill 2003-08-21
From Lisa and Samantha:
A WORM IS AT THE BOTTOM OF A 10 FOOT HILL. HE CRAWLS UP THE HILL 4 1/2 FEET A DAY. AT NIGHT WHEN HE REST HE SLIDES DOWN 2 1/2. HOW LONG DOES IT TAKE THE WORM TO CRAWL UP THE HILL.
Answered by Penny Nom.
Cathy's Clothing 2003-07-15
From Cathy:
I am supposed to write a practical and useful word problem that would use the following algebriac inequality to solve it: 12x + 25 > 15x + 10. State the quanity that represents x and solve the inequality.
Answered by Penny Nom.
A problem with lugs 2003-07-11
From Lori:
A young man's car developed a flat tire as he was driving along a deserted street. He pulled over to the curb and did all the usual things: removed the hub cap, unscrewed the lugs and rested them carefully in the hub cap, jacked up the car. As he was putting the spare tire onto the axle he accidentally kicked the hub cap. The lugs rolled out, and all five of them fell down a nearby grate. Peering through the bars of the grate the man thought that he could see the lugs about 6 feet below in a shallow water puddle. He had a problem. How do you think he solved it?
Answered by Penny Nom.
A mixture problem 2003-07-10
From A student:
Having a problem with word problems. example A chemist mixes a 10% acid solution with a 50% acid solution to form 400mL of a 40% solution. How much of each solution should be used.
Answered by Penny Nom.
A wooden deck around a pool 2003-07-09
From Dat:
A pond is enclosed by a wooden deck that is 3 feet wide. The fence surrounding the deck is 100 feet long.
  1. If the pond is square, what are its dimensions?

  2. If the pond is rectangular and the length of the is three times its width, what are the dimensions of the pond?

  3. If the pond is circular, what is the diameter of the pond?

  4. Which pond has the most area?

Answered by Penny Nom.
C is 10 more then the square of... 2003-07-03
From Carolina:

C is 10 more then the square of the quotient of the sum of x and y , and the product of x and y. Which equation expresses this relationship?

A. C=(x+y +10)^2        ___        xy  
B. C=(x+y)^2 + 10        ___        xy  
C. C=(xy)^2+10           ___       x+y  
D. C=(x+y)^2 + 10        ___        xy 


Answered by Penny Nom.
Setting up a word problem 2003-06-30
From Christie:
A rectangular corral is forty feet longer than it is wide. If the perimeter is 220 feet, determine the length and width of the corral.
Answered by Penny Nom.
Sesame Street on Stage 2003-06-25
From Christie:
Sesame Street on Stage has different ticket prices for adults and for children under 6. Beth and her two children, ages 3 and 4, paid $15 to gain entrance, while Jamie and John Jacobs and their 2-year old daughter got in for $19.50. What is the ticket price for adults?
Answered by Penny Nom.
Spacing the spindles for a railing 2003-06-06
From Jennifer:

Scott is a homebuilder. He builds railings in which he places spindles. Spindles ar evertical posts taht are equally spaced beneath a horizontal bar. Scott would like a mathematical model to help him determine the amount of space to put between each spindle. The railing must follow the following criteria: The spaces between each spindle must be equal except for the ones at either end. Theses spaces are smaller. They are half the width of a spindle less than the other spaces. The number of spindles needs to be minimized since spindles are costly.

Help Scott determine what width of space to use between the spindles. Create a mathematical model to determine the width of space between each spindle in termso f the number of spindles. Use an 8' (96") railing that has 2 1/2" wide spindles. Explain your thinking. For safety reasons the maximum width of a space is 4"

Generalize you model to determine the width of spaces for total railing of length L and spindle width s


Answered by Penny Nom.
George and his goat herd 2003-05-27
From A student:

George the bulgarian goatherd drives his father's goats into a valley each morning and lets them browse there all day before driving them home in the evening.

he notices that each morning the goats immediately separate into groups and begin to feed the number and sizes of the initial groups vary some days there are nine and so days there are three or fewer. there can be groups of one or the whole group.

about every five minites one goat breaks away from each feeding group and these breakaway goats form into a new group.

George has noticed that by the afternoon, even though the goats continue their regrouping the sizes of the groups have stabilised, and there is always seven feeding groups.

How many goats are there in the herd? What are the sizes of the feeding groups once they have stabilised?


Answered by Penny Nom.
The square of my age was the same as the year 2003-04-14
From Pat:
Augustus de Morgan wrote in 1864, "At some point in my life, the square of my age was the same as the year." When was he born?
Answered by Penny Nom.
A handshake problem 2003-03-31
From Jaylan:
Suppose you and your partner attend a party with n other couples. Several handshakes took place. No one shook hands with himself (or herself) or with their partner, and no one shook hands with the same person more than once. After all the handshaking was completed, suppose you asked each person, including your partner, how many hands they had shaken. Each person gave a different answer.

Determine how many hands did you shake and how many hands did your partner shake when n=5

Answered by Penny Nom.
Quadratic word problems 2003-03-30
From A student:
Question:
i think i know the basics of how to solve direct quadratic equations,but how do i go about solving those word problems? i have tried them times and again, but nothing seems to work at all!they are driving me crazy! pls help!:):):):):)

  1. bob & nick earned $1260 each. bob's hourly wage is $3 more than nick's hourly wage. he worked 2h less compared to nick. find the number of hours nick worked.
  2. there are 2 tanks in henry's house. in tank A, the fish are all goldfish. they are bought at a total cost of $259. in tank B, there are only guppies. the guppies were bought at a cost of $1.20 each. a day later,henry bought 3 more goldfish and put them into tank A. the number of guppies in tank B is now twice the number of goldfish in tank A.the total cost of all the fish that henry has presently,i.e. goldfish & guppies, is $355.30. given that the cost of each goldfish is the same,
    a)find the initial number of goldfish in tank A
    b)find the total cost of all the guppies.
  3. a particular disc can be made to rotate at 2 different speeds. if it is made to rotate slower by 135 revolutions per hour, it wld require an additional 2.7 hour to make 315 revolutions. find the higher speed at which it can operate.

Answered by Penny Nom.
Sasha's candies 2003-02-18
From Pat:
Tick-tac-toe

Sasha and Trudy are playing tick-tac-toe. Sasha agrees to give trudy two pieces of candy for each game Sasha loses, and Trudy agrees to give Sasha three pieces of candy for each game that Trudy loses. After playing thirty games, Sasha has the amount of candy that he started with. If no ties occurred, how many games did Sasha win?

Answered by Paul Betts.
Storyteller figurines 2003-02-10
From A student:
It takes 3/4 of an hour to bake a storyteller figurine. If only one figurine can be baked at a time, how many can be baked in 6 hours?
Answered by Penny Nom.
A train with 2 cars 2003-02-04
From Michael:
A train with 2 cars is traveling at a speed of 80 km/hr from town X to town y, located 800 km from each other. At the same moment that the train departed, a passenger started to walk back and forth from one end of car B to the other at a speed of 100cm/sec. Arriving in town Y, the passenger had already gone and returned 720 times. The length of car A is that of car B plus one fourth of the length of the locomotive, and the length of the locomotive equals the length of Car A plus one fifth of the length of car B. What is the total length of the train?
Answered by Penny Nom.
Problem solving 2003-02-03
From Brigitte:
My daughter is having lot's of problem with problem solving she is in grade 6. she is using mathematics in action from macmillan/ mcgraw- hill. Do you know of any way she can get help, and if there is any tests on line
Answered by Diane Hanson.
Fibonacci exam 2003-01-28
From Mike:

My son will be participating in the national math contest. He is a grade 4 student but will be writing the Fibonacci exam for grade 5. He has been given last years exam for practice. Parents have been ask to assist for this part. I was therfore hoping for a little "inside" help on several questions with answers & short explanations. This with a would be greatly appreciated.(from last years exam)

  1. With 3 weights, Mathusalem can weigh any object that has a weight which is smaller or equal to 13 kg, but that weighs a whole number of kilograms. He wants to weigh an object of 7 kilograms. To do so, he must place two of the weights on the left side of the scale, and the third one on the right side. Which one will he have to place on the right side

    a)4 b)3 c)6 d)2 e)5
  2. Mathilda uses a rectangular prisms to build stairs. The cross section of each prism is a square which has a side of 1 dm. Mathilda has already put in place 4 steps of a staircase that must have a height of 10 dm. When finished, the staircase will have a volume of 550 dm3. What will the width of the staicase in dm be?

    a)10 b)55 c)11 d)1 e)100
  3. The year 1991 was the last palindrome year of the second millennium. The year 2002 is the first palindrome year of the third millennium. Including 2002, how many palindrome years will there be, altogether, in the third millennium ?
    a)8 b)2 c)10 d)182 e) 9


Greatly appreciated,
Mike


Answered by Penny Nom.
Some 5th grade problems 2003-01-24
From Sabrina:

[What is the greatest common factor of 20,28, and 36?] next problem is

[5k+7(k+8)= ] next problem

[Curtis simplified 0.8 divided by 0.2 x 0.04 and got 10. Latoya Simplified and got 1.6. is either correct? Can you explaine how you got the answer please.]


Answered by Penny Nom.
Dorothy and the wizard 2003-01-24
From Ken:

dorothy was going to see the wizard of oz...she stopped at the bakery and bought a box of cookies.

she met the scarecrow and gave him half the cookies. she ate half of the remaining cookies and threw one half cookie away.

she met the tin man and gave him half the cookies. she ate half the remaining cookies and threw one half cookie away.

she met the lion. she gave him half of her cookies. she ate half the remaining cookies and threw the LAST half cookie away.

how many cookies did dorothy leave the bakery with?


Answered by Penny Nom.
The cousin of Sally's sister's boyfriend 2003-01-23
From Michael:
Sally went to a farm to buy eggs. Returning home, she gave half of them to her sister who, in turn, gave a third of those she had gotten to her boyfriend. The latter, after eating one third of the eggs that he had gotten, gave the rest to his cousin. Given that each egg weighs 70 grams, that Sally cannot carry more than 2.5kg, and that the eggs were raw, calculate how many eggs the cousin of Sally's sister's boyfriend received.
Answered by Penny Nom.
A penny, a nickel, a dime, a quarter, and a loonie 2003-01-21
From Blaine:
I have 5 coins: a penny, a nickel, a dime, a quarter, and a loonie. How many different amounts of money could I pay using any combination of these coins?
Answered by Penny Nom.
Jo's books 2003-01-21
From debra:
Jo announces: I have no more than 999 books.
Jean says: No Jo, You have fewer than 1,000 books.
Mary says: Jo has at least 1 book.

Only one of these statements is true, How many books does Jo own?

I do not know HOW to approach this problem and solve it.

Answered by Penny Nom.
Two numbers have a ratio of 5:3 2003-01-01
From Patricia:
Two numbers have a ratio of 5:3. The larger number is 36 more than half the difference of the two numbers. What are the two numbers?
Answered by Penny Nom.
The product of two consecutive numbers is 41 more than their sum 2002-11-15
From A mother:
THE PRODUCT OF TWO CONSECUTIVE NUMBERS IS 41 MORE THAN THE SUM OF THE NUMBERS. WHAT ARE THE NUMBERS?
Answered by Penny Nom.
A pattern in a table 2002-11-14
From Thamar:
how do you solve for pattern in a table like

the top row is261217z
the bottom row is9131924blank

question ask in each blank space write a rule to find the next number in the table

Answered by Penny Nom.
Three bags of marbles 2002-11-08
From A student:
I have 3 bags of marbles

1 bag is labeled blue; 2nd bag is labeled red; 3rd bag is labeled blue & red

all the bags are mismarked

your job is to take one marble from 1 bag look at it and correctly label all the bags


Answered by Penny Nom.
Mrs. Klein has been losing 1 pound a week for the last year 2002-10-30
From Brett:
On her diet, Mrs. Klein has been losing 1 pound a week for the last year. Her husband weighs 110 pounds more than she does now. If his weight is twice what her weight was 6 weeks ago, how much does mrs. Klein weigh now?
Answered by Penny Nom.
How many trees were planted in March? 2002-10-20
From Allison:
The number of trees planted by the Alpine Nursery in April was 3 more than twice the number of trees planted in March. If 71 trees were planted in april, write and solve an equation to find how many trees were planted in March.
Answered by Penny Nom.
At the zoo 2002-10-20
From A student:
The number of adults at the zoo was 2/9 the number of children. there are 700 more children than adults. The number of men was four times the number of women. The number of girls was four times the number of boys. Find the total nymber of men and boys at the zoo.
Answered by Penny Nom.
Two problems 2002-10-14
From Seçkin:
i am from turkey i am a teacher in a collage i have two difficult question which i havent solve yet these are very important for me....
Answered by Claude Tardif.
Nixon, Jefferson, and Madison 2002-10-08
From Lisa:
The longest-lived US presidents are John Adams(age90), Herbert Hoover (also90), and Harry Truman (88). Behind them are James Madison, Thomas Jefferson, and Richard Nixon. The lattter three men lived a total of 249 years, and their ages at the time of death form consecutive odd integers. For how long did Nixon, Jefferson, and Madison live?
Answered by Penny Nom.
8 squares from 12 sticks 2002-10-08
From A student:
If you have 12 sticks the same size, how do you make them into 8 squares?
Answered by Claude Tardif.
$100 is split between four guys. 2002-10-03
From Stephan:
$100 is split between four guys. A,B, C, and D. How much money does if person get if B has four more dollars than A, C has 8 more dollars than B, and D has twice as much money as C?
Answered by Penny Nom.
A max/min problem 2002-09-21
From Evelina:
A window is the shape of a rectangle with an equilateral triangle on top. The perimeter of the window is 300 cm. Find the width that will let the maximum light to enter.
Answered by Penny Nom.
How long will it be before you reach your friend? 2002-09-16
From Margaret:
Your friend runs at 8 miles per hour and you drive at 40 miles per hour, hence the diatance between you is decreasing at 32 miles per hour. You firend left 2 hours before you so how far has he gone in that 2 hours? How long will it take for the distance between you to decrease to 0 miles if the distance is decreasing at 32 miles per hour?
Answered by Penny Nom.
Formulating equtions 2002-09-14
From Theresa:
Hello. In math class we have to formulate equations for certin questions for extra credit. We are allowed to ask anyone and anyone can do it for us and explain it to us. Could you please do that? Here are the questions
  1. Jordan has 3 times as much money as Reva. Together they have $44. How much money does each have?

  2. The Tigers played 48 games. They won twice as many as they lost. How many did they win?

  3. There are 900 students in Sewickley Academy. There are 20 more girls than boys. How many girls are there?

  4. A board 400 cm long is cut into 2 pieces. One piece is 66 cm longer than the other. Find the lenght of the shorter piece.


Answered by Penny Nom.
Mixing solutions 2002-09-13
From Margaret:
In a chemistry laboratory the concentration of one solution is 10% hydrocholoric acid (HCl) and that of a second soulution is 60% HCl. How many mL of each should be mixed to obtain 50 mL of a 30% HCl solution??
Answered by Penny Nom.
A fish weighs 10 pounds more than half its weight. 2002-09-10
From Rebecca:
A fish weighs 10 pounds more than half its weight. How much does it weigh?
Answered by Penny Nom.
I am a 3 digit number. 2002-09-06
From Jasmine:
I am a 3 digit number. My last digit is 3 times my first digit. My firat digit is twice my middle digit. What numbers am I? There are at least 2 correct answers?
Answered by Paul Betts.
Dan is 4 inches taller than Mike. 2002-09-04
From A parent:
Dan is 4 inches taller than Mike. Together they are 8 feet 8 inches tall. How tall is each boy in feet and inches.
Answered by Penny Nom.
A square of tiles 2002-08-30
From Rosa:
How do I go about finding a formula for the number of tiles I would need to add to an arbitrary square to get to the next sized square?
Answered by Penny Nom.
20 men dig 40 holes in 60 days 2002-07-24
From Lindsey:
20 men dig 40 holes in 60 days. So, 10 men can dig 10 holes in how many days?
Answered by Penny Nom.
As much greater than 47 as it is less than 105 2002-07-23
From Joe:
To find the number in question you need to find the number exactly half-way between 47 and 105. Another way of thinking about the number that is half-way between two other numbers is as the average of the two numbers given.
Answered by Leenaan Boehm.
The Praxis II test 2002-07-09
From A student:
I am taking the Praxis II test and I can't seem to answer certain styles of questions. Please help!!!!!!
  1. In a class of 29 children, each of 20 children has a dog and each of 15 has a cat. How many of the children have both a dog and a cat?

  2. If there are exactly 5 times as many children as adults at a show, which of the following CANNOT be the number of people at the show? a. 102 b. 80 c. 36 d. 30

  3. In order to estimate the population of snails in a certain woodland, a biologist captured and marked 84 snails there were then released back into the woodland. Fifteen days later the biologist captured 90 snails from the woodland, 12 of which bore the markings of the previously captured snails. If all of the marked snails were still active in the woodland when the second group of snails were captured, what should the biologist estimate the snail population to be based on the probabilities suggested by this experiment? a. 630 b. 1,010 c. 1040 d. 1080.

Answered by Paul Betts.
Jack and Jill wrote letters 2002-06-19
From Angel:
jack and jill each bought a stationary
# of sheets of paper in each box were the same
# of envelopes were the same
jill wrote letters consisting of 3 pages
jack wrote letters consisting of 1 page

when they wrote all letters jill had 50 envelopes left and jack had 50 sheets of paper left how many pieces of paper and how many envelopes?

Answered by Leeanne Boehm.
The sum of the areas of two regular decagons 2002-05-27
From A parent:
The sum of the areas of two regular decagons is 39 square inches, and their radii are in the ratio of 2:3. Find the area of the larger decagon.
Answered by Paul Betts.
Flying with the wind 2002-05-19
From SaraJean:
It takes 6 hours for a plane to travel 720 km with a tail wind and 8 hours to make the return trip with a head wind. Find the air speed of the plane and the speed of the wind current.
Answered by Penny Nom.
Trains and cracker boxes 2002-04-29
From Lindsay:
1)Two trains are 250 miles apart on the same track heading towards eaxh other at 7AM- The first train travels at 55mph, the second at 75mph. At what time would they crash?

2)A cracker box measures 12 by 2 by 18 inches. The company wants to double the amount of crackers, but keep the shapes the same[similar] Find the new length[nearest tenth of an inch]


Answered by Penny Nom.
A test drive 2002-04-23
From Jennie:
At 9 A.M. a test car driving at a constant speed passes a marker 50 miles from it's starting point. At noon the car is about 130 miles from the marker. If the test drive ends at 1:30 P.M., how far will the car be from its starting point?
Answered by Penny Nom.
Problem solving 2002-04-20
From Kathy:
  1. Zachary wanted to run the shore-to shore marathon next month, a 26 mile race from one side of the island where he lived to the other. He decided to work up to 26 miles by running five days a week for the next five weeks. Each day he'd run one mile longer than he did the day before, except for the first day of the week, when he'd run the same number of miles he ran on the last day of the previous week. He wanted his last two practice runs to be 26 and 27 miles long.

    How many miles would he have to run on his first practice run?

  2. A school just bought a new set of encyclopedias. The front and back covers are 1/8 inch thick, and the pages are 1/100 inch thick (in other words, there are 100 pages per inch). the 26 volume set has a total of 5,250 pages. If you assume there is no extra space left between books, then .........

    What length of bookshelf will the encyclopedias take up?

Answered by Penny Nom.
The Proof in the Pudding 2002-04-09
From A student:
The host at a party turned to a guest and said, "I have three daughters and I will tell you how old they are. The product of their ages is 72. The sum of their ages is my house number. How old is each?" The guest rushed to the door, looked at the house number, and informed the host that he needed more information. The host then added, "The oldest likes strawberry pudding." The guest then announced the ages of the three girls. What are the ages of the three daughters?
Answered by Claude Tardif.
Meg's biscuits 2002-03-29
From Tami:
Meg's biscuits recipe calls for 4 cups of flour for every 1.5 cups of milk. If Meg uses 6 cups of flour, how many cups of milk will she need?
Answered by Penny Nom.
A hamburger and a soft drink 2002-03-23
From A student:
A GROUP OF FRIENDS WENT OUT TO LUNCH. EACH BROUGHT A HAMBURGER AND A SOFT DRINK. TOGETHER A HAMBURGER AND A SOFT DRINK COST MORE THAN A DOLLAR. THE TOTAL COST FOR THE GROUP WAS $17.81. THERE WAS NO TAX OR TIP INCLUDED.

IF A HAMBUGER COSTS 2 CENT MORE THAN TWICE A SODA, FIND THE COST OF THE HAMBURGER.


Answered by Leeanne Boehm.
How much olive oil? 2002-03-15
From Annie:
Joe used 1/3 cup of olive oil, which was 3/4 of the amount that he had. How much olive oil did he have!
Answered by Penny Nom.
What number am I? 2002-03-03
From Samantha:
I am an even number that has more ones than tens. My thousands digit is the quotient of 9 divided by 3 and my tens digit is the sum of 3 and 3. I have no hundreds. What number am I?......Please answer this for me...The answer I come up with is 3,060...Is this right?..
Answered by Penny Nom.
Alfredos house number 2002-02-21
From Aunt Patty:
Alfredos house number is between 20 and 35. The sum of the digits is less than 5. If you subtract 1 from it you would get a multiple of 3. If you add three, you get a multiple of 5. What is Alfredos house number.
Answered by Penny Nom.
Shipping charges 2002-02-19
From Sohail:
A mail order company charges a fixed fee for shipping merchandise that weighs 1 pound or less, plus an additional fee for each pound over 1 pound. If there shipping charge for 5 pounds is $4.80, and for 12 pounds is $6.20, find the fixed fee and the additional fee.
Answered by Penny Nom.
A farmer takes 100 animals to the market to sell. 2002-02-19
From Ann:
A farmer takes 100 animals to the market to sell. All are sold and $100 is earned. The prices were $5.00 per cow, $1.00 per sheep and $.05 per pig. At least one of each kind of animal was sold. How many of each kind of animal did the farmer take to market?
Answered by Penny Nom.
A man and his wife walk up a moving escalator 2002-02-13
From Monty:
A man and his wife walk up a moving escalator. The man walks twice as fast as his wife. When he arrives at the top, he has taken 28 steps. When she arrives at the top, she has taken 21 steps. How many steps are visible in the escalator at any one time.
Answered by Peeny Nom and Claude Tardif.
Baseball and sit ups 2002-01-31
From A student:
A baseball team won 8 more games than it lost. If it played 56 games, how many games did it win?

On the first day of practice, Paul did 3 sit ups. On the second day he did 5, and on the the third day he did 8, and on the fourth day he did 12. If this pattern continued, how many sit-ups did ihe do on the sixth day of practice?


Answered by Penny Nom.
A sale on eggs 2002-01-17
From A student:
A store had a sale on eggs, selling 13 eggs for the usual price of a dozen eggs. As a result, the price of the eggs was reduced by 4 cents a dozen. What is the original price for a dozen eggs?
Answered by Penny Nom.
The famous "train problem" 2002-01-12
From Karen:
How do you solve the famous "train problem"? For example, 2 trains leave different stations at the same time. One is traveling at 50 mph and the other at 40 mph. How long does it take them to meet?
Answered by Penny Nom.
Nickles, dimes, quarters and fifty cent pieces 2002-01-08
From A parent:
The total for all coins counted is $4,564.50 The last coin added to the pile is a 50 cent piece There are 8 times as many 50 cent pieces as there are quarters There are 6 times as many dimes as nickles How many of each are there?
Answered by Penny Nom.
Maple trees and pine trees 2002-01-06
From A student:
A team of scientists found that in a forest there was four maple trees for every nine pine trees.How many maple were there if they counted 45 more pine than maples?
Answered by Penny Nom.
Feeding Jumbo 2001-12-21
From Lupe:
There are 2 dogs one named major and the other jumbo. major weighs 100 pounds and jumbo 150 pounds. they eat dry dog food which comes in a 40-pound bag that cost $30. Together, major and jumbo eat a whole bag a week. major eats two fifths of the bag while jumbo eats the rest.How much would it cost to feed jumbo in february, which has 28 days?
Answered by Penny Nom.
Making toys 2001-12-17
From Karen:
Jonathan and Morgan are two of Santa's elves. Jonathan can make a toy in eleven hours. Morgan can make the same toy in nine hours. How long it take for both Jonathan and Morgan to make the toy if they were working together?
Answered by Claude Tardif.
A 1 m by 1 m square box in the xy-plane 2001-12-15
From Murray:
Inside a 1 m by 1 m square box in the xy-plane, there are finitely many line segments, whose lengths sum to exactly 10 m. Show that there exists a straight line in the plane which crosses at least six of these line segments. (Hint: first, show that there exists a straight line in the plane which crosses at least five of these line segments.)
Answered by Claude Tardif.
Painting walls 2001-12-12
From Rizwan:
3 sixth graders painted 4 walls in 3.5hrs. At that rate, how many walls would they paint in 7 hrs.
Answered by Penny Nom.
Renee, Paulo and Peter 2001-11-18
From Sue:
Renee is 5 years older than Paulo. she is also 7 years older than Peter. The sum of their ages is 21. How old is each person.
Answered by Penny Nom.
what number doubled plus 20 will give you 4/3 the original number 2001-11-15
From Hank:
what number doubled plus 20 will give you 4/3 the original number

2 x__ + 20 = 4/3 of the original number

Answered by Penny Nom.
A circle and triangle overlap 2001-11-09
From Tara:
A circle and triangle overlap as shown.the area of the circle is three times the area of the triangle.If the common region is removed,then the area of the rest of the circle would be 14 sq cm more than the area of the rest of the triangle.How many sq cm are in the area of the complete triangle.
Answered by Penny Nom.
Three problems 2001-10-28
From Brenda:
  1. Joseph is planting bushes around the perimeter of his lawn. If the bushes must be planted 4 feet apart and Joseph's lawn is 64 feet wide and 124 feet long, how many bushes will Joseph need to purchase?

  2. The cost of a long distance phone call is $1.50 for the first two minutes and $0.60 for each additional minute. How much will Maria pay for a 24 minute phone call?

  3. Find the next three numbers in the pattern. 1,3,7,15,31,___,____,___.

Answered by Penny Nom.
Who owns what pet? 2001-10-03
From A parent:
Don, Frank, Jenny, and Ken each come from one state, either Alaska, Maine, Montana, or Oklahoma. They each speak one primary language, either English, french, Russian, or Spanish. And they each have one of four pets, a chinchilla, a dog, a hamster, or a turtle.

Figure out which language and what pet each of the four people have, using the following clues.
.
.
.


Answered by Judi McDonald.
Joan and Jan work together 2001-09-26
From Karyna:
Joan and Jan work together and they set up a bandstand in just 24 minutes, but if Joan does it by herself she takes 1 hour. How long would it take Jan to set up the bandstand by himself?
Answered by Claude Tardif.
Bicycles and tricycles 2001-09-26
From Sally:
A bicycle shop has 5 bicycles and tricycles to repair. They have 12 wheels. What strategy would you use to determine how many bicycles and tricycles need to be repaired?
Answered by Claude Tardif, Diane Hanson and Penny Nom.
Scoring a college placement test 2001-09-26
From Carmen:
A college placement test consist of 75 multiple-choice questions, each having 5 possible answers. The exam is scored by subtracting from the number of correct answers one-quarter of a point for each question answered incorrectly. If a person answers every question on the exam and scored 45, how many questions were answered wrong?
Answered by Penny Nom.
Investing in a yacht 2001-09-26
From Junior:
Marvin and his four friends wish to invest in a yacht by sharing equally in the cost. As the date of sale approaches, Marvin realizes that if three more people join the partnership, each partner's share would decrease by $18,000. How much does the yacht cost?
Answered by Penny Nom.
Julia goes to work 2001-09-25
From Karyna:
On one October morning, Julia rides her bike (at 12 miles per hour) from her home to her friend Ida's house; then the two of them walk (at 6 miles per hour) to work. If it takes an hour for Julia to go the 10 miles from her home to work, how far does she walk?
Answered by Penny Nom.
What are the two numbers? 2001-09-24
From A student:
What are the two numbers.
  1. the sum of two numbers is 15. 6 times the smaller number is 4 times the larger number .find the two numbers.
  2. the sum of the two numbers is 28. 2 times the larger number is 5 times the smaller number minus 7. find the two numbers.

Answered by Claude Tardif.
David's wages 2001-09-24
From Kimberlee:
My math question is David earns $6.00 per hour plus $9.00 for every extra hour he works over 40 hours per week. If David earned $285.00 last week, how many extra hours did he work?
Answered by Penny Nom.
27 2001-09-10
From Kacy:
In class we were given this problem. We have the numbers 30, 29, 19,11,26. these numbers = 27 in some way but how? the numbers can be applied any way using + - / X ( ) but can only be used 1 time each. can you please help me.
Answered by Claude Tardif.
What did the girls score on average? 2001-07-20
From Rajesh:
The students of two schools were sitting the same test. The students attending the first school scored 74 on average; within this the average scores of the boys and the girls were 71 and 76, respectively. The corresponding scores in the other school were 84, 81 and 90, respectively. If the average score of all boys was 79, what did the girls score on average?
Answered by Penny Nom.
Geometry problems involving triangles 2001-06-07
From Sandi:
Find the radius of the largest circle contained in a right triangle whose legs are 8 and 15 and hypotenuse is 17. If the right triangle has legs a and b and hypotenuse c, find an expression for the radius of the circle.
Answered by Penny Nom.
Election in Angletown 2001-06-07
From Zoe:
At the last school election in Angletown 4620 votes were cast. Candidate Acute received 236 more votes than Candidate Obtuse. Candidate Right received 698 votes more than Candidate Acute. Candidate Straight received 256 votes less than Candidate Right. How many votes did each receive?
Answered by Penny Nom.
A few problems 2001-04-22
From Carol:
Hello I am a College student trying get through my elmentry concepts class. I am also working with the middle and elementry school student with their work. I was given a few problems to work on and i am having a hard time explaining them to students. DO you think you can help with a coupld of these questions!
Answered by Penny Nom.
The number of occurrences of 0 is __, of 1 is __, of... 2001-04-17
From Martyanne:
"In this sentence the number of occurrences of 0 is __, of 1 is __, of 2 is __, of 3 is __, of 4 is __, of 5 is __, of 6 is __, if 7 is __, of 8 is __, of 9 is __."

Each blank is to be filled with a numeral of one or more digits, written in decimal notation.

Answered by Claude Tardif.
Parabola problems 2001-04-10
From Kathleen:
  1. Graph each function and state its domain and range. y = 3x2 + 4

  2. For each parabola find: i) the direction of opening
    ii) the coordinates of the vertex
    iii) the y-intercept
    iv) the x-intercepts
    y = x2 + 3

  3. Find the equation of each parabola vertex at (0, -2) and passing through the point (3,7)

Answered by Harley Weston.
12 RTV's 2001-03-27
From Christine:
  1. In order to promote the 2000 Census and encourage participation, 12 Road Tour Vehicles(RTV's) set out from 12 locations across the US for a 10 week promotion tour last February. The RTV's reportedly traveled a total combined distance of 97,911 miles. What was the aberage number of miles traveled in a day by each RTV?

  2. 2. The 12 RTV's mentioned above traveled a total combined distance equivalent to traveling 12.35 times around the earth at the equator. To the closest mile, what is the radius of the earth? Use 3.14 as your approximation for pi.

Answered by Leeanne Boehm.
problem of the week 2001-03-06
From Peggy Allan:
My son has been challenged with "the problem of the week" and I am unable to assist him in finding a reasonable solution.

Problem 1,

Julio needs to draw a line segment 15cm long. He does not have a ruler. He does have some sheets of letter size paper 28 X 21.5 cm. Describe how Julio can use the paper to measur 15 cm.

Answered by Claude Tardif.
P vs NP problem 2001-03-01
From Roy:
What math journals would publish a proposed solution to the P vs NP problem when the work has been done by an amateur mathematician who has no degree in math?
Answered by Claude Tardif.
Books and cars 2001-02-13
From Aquilya:
  1. A pile of books is 96.08cm. If each book is 0.8cm thick. How many books are in th pile?

  2. 2. A car travels 9.84km on 0.6 litres of petrol. How far will the car travel on 3.7 litres of petrol?

Answered by Penny Nom.
A dog and a rabbit 2001-02-09
From Josh:

1. A dog and a rabbit are 160 meters a part for every 9 meters that the dog runs , the rabbit jumps 7 meters. How many meters must the dog run in order to vertake the rabbit???

2. A cars odometer reads 15951 KM. Find the least number of kilomaters to travel until the palindromic number appears???


Answered by Leeanne Boehm.
Bicycles and phone calls 2001-02-08
From Sarah:
  1. A bicycle has a diameter of 66 centimeters. How many times must the tire rotate to travel 1 kilometer?explain answer.

  2. Becky want to make a long distance call to her friend Sarah from a pay telephone.She has $5.00 in change.The call costs $0.90 for the first three minutes and $0.24 for each additional minute.How long can Becky talk to Sarah?

Answered by Leeanne Boehm.
Buckets of golf balls 2001-02-08
From A student:
A bucket containing 40 golf balls weighs 135 ounces. The same bucket with 20 golf balls weighs 75 ounces. What is the weight of the bucket?
Answered by Claude Tardif.
Crossing the dessert 2001-01-29
From Zach:
An Explorer needed to make a 5 day trip across a dessert. Each man with him could carry exactly 3 days food and water. For one man how many men will it take to cross the dessert?
Answered by Claude Tardif.
Some algebra 2001-01-23
From Thomas:
If a is 4 more than the quotient of b and 3, and if b=2, then what is the value of a?
Answered by Penny Nom.
8, 4, 2, 18, 1, 9 2001-01-11
From Neyra:
Place each number below in one of the blanks to create the most meaningful and realistic story possible.
Answered by Claude Tardif.
Derfs, Enajs and Sivads 2001-01-07
From John and Norman:
All Derfs are Enajs. One-third of all Enajs are Derfs. Half of all Sivads are Enajs. One Sivad is a Derf. Eight Sivads are Enajs. The number of Enajs is 90. How many Enajs are neither Derf nor Sivad?
Answered by Penny Nom.
Developing a community garden 2000-10-26
From adam:
Robin's class is developing a community garden. There are 15 students in Robin's class. They volunteer to work in a community garden at various times during the school week. Robin's teacher says it will take about 3 weeks to complete the project if 3 students work 1 hour each day. Some students can work on more than one day. The following table lists the number of students who can work on various days.
.
.
.

Answered by Penny Nom.
Cutting the lawn 2000-10-26
From Kacie:
Ellen can mow a lawn in 2 hours. Mary can mow the same lawn in 1.5 hours. How long would it take them to mow the lawn together?
Answered by Penny Nom.
Working together on a job 2000-10-23
From Nicole:
WORKING TOGETHER ON A JOB: Patrice, by himself can paint 4 rooms in 10 hours. If he hires April to help they can do the same job together in 6 hours. If he lets April work alone , how long will it take her to paint 4 rooms?
Answered by Claude Tardif.
Tapes and CD's 2000-10-22
From Arnold:
Nicole has 25 CDs and tapes altogether. When she tries to pair them up, she has 4 CDs left over. How many tapes does Nicole have?
Answered by Penny Nom.
The perimeter of a football field 2000-10-18
From Paige:
The width of a football field is 67ft greater than the length. The perimeter is 480ft What is the width and length?
Answered by Penny Nom.
Transporting bananas 2000-10-18
From Krystie:
A farm has 45 bananas, a man has to take a truck and transport 15 bananas to a market that is 15 miles away. Every mile he travels, he must eat a banana. I have to get at least one banana to the market
Answered by Penny Nom.
Cutting the cake 2000-10-05
From Cherie:
How can you divide a cake (circle) into 14 pieces by using only 4 straight lines?
Answered by Penny Nom.
Selling chickens 2000-09-12
From Rick:
A man raised chickens. He sold all but 8 of them. The first buyer bought 1/3 of all the chickens + 2/3 of a single chicken. The second buyer bought 1/3 of the remaining chickens + 1/3 of a single chicken. The third buyer bought 1/3 of the remainder + 2/3 of a chicken. How many chickens did the seller own before selling any? All chickens were alive and whole when the buyers received them.
Answered by Penny Nom.
Making milkshakes 2000-09-04
From Linda:
To make a chocolate milkshake, 3 parts chocolate syrup are mixed with 2 parts malt. To make a vanilla milkshake, 2 parts vanilla syrup are mixed with 1 part malt. If equal parts chocolate and vanilla milkshakes are mixed, what is the proportion of malt to milkshake?
Answered by Penny Nom.
A number problem 2000-09-02
From Lalita Balu:
Can you arrange 1234567890 to add up to 100?
Answered by Penny Nom.
Adriana's earnings 2000-08-28
From Adriana:
On Friday Adriana earns half as much as she did on Thursday. On Saturday she earns twice as much as she did on Thursday, if her total for 3 days is $63.00 how much did she earn each day?
Answered by Penny Nom.
Three pattern questions 2000-08-22
From Michael Rodriguez:
I have 3 pattern questions that I need help answering, please.
  1. 6 and 7 = 42
    2 and 5 = 10
    4 and 8 = 8
    5 and 9 = ?

  2. 7 and 5 = 1
    9 and 12 = 3
    10 and 15 = 5
    12 and 16 = ?

  3. 1st = 1
    3rd = DEF
    10th = *
    6th = ?


Answered by Claude Tardif.
Six typists 2000-08-19
From Paula Duncan:
If it takes a typist 4.5 hours to type 860 words, how many hours would it take 6 typist to do 16800 words?
Answered by Penny Nom.
Three consecutive odd integers 2000-08-18
From Wallace:
A six-digit integer XYXYXY, where X and Y are digits is equal to five times the product of three consecutive odd integers. Determine these three odd integers.
Answered by Paul Betts.
Two word problems 2000-08-16
From Bridget:
A whale's head is 72 inches long... its tail is as long as its head plus half the length of its body, and its body is half the entire length. How long is the whale?

Also, An author published a book every two years. When the seventh one was published, the sum of the years of publication was 13,804. In what year was the author forst published?


Answered by Penny Nom.
Rectangles and algebra 2000-06-13
From Kirstin:
A rectangle's length is 4 more than twice its width. The area of the rectangle is 336m squared. What is its length?
Answered by Paul Betts and Penny Nom.
Problems 2000-06-06
From Debbie Cummins:
I am a Mum of a 12 yr.boy needing help with some math problems. I need not only the answers but how it is worked out.
  1. Both the leftmost digit & the rightmost digit of a 4 digit number N are equal to 1. When these digits are removed, the 2 digit number thus obtained is N div by 21 Find N.
  2. Find all 3 digit even numbers N such that 693xN is a perfect square, that is, 693x N = k x k where k is an integer.
.
.
.

Answered by Paul Betts and Claude Tardif.
4 Color map Theorem 2000-06-02
From Rick Slen:
I am challenging my students to find a map that can not be coloured using only 4 colours. I know that it is not possible, but one boy drew a map with a "country" totally surrounding all the others so of course it touched all other colours. How do I explain that this type of map is not permissable?
Answered by Denis Hanson.
The Village of Truth 2000-05-10
From Sean Pearson:
Our teacher gave us a logic problem involving two villages: the village of truth, and the village of lies. The problem is in asking two guards the right question to gain entrance to the fenced compound the villages are in without being shot. Have you heard of this problem ?
Answered by Harley Weston.
Running Through a Train Tunnel 2000-04-01
From Eugene Chan:
A man is running through a train tunnel. When he is 2/3 of the way through, he hears a train that is approaching the tunnel from behind him at a speed of 60 mph. Whether he runs ahead or back, he will reach an end of the tunnel at the same time the train reaches that end. At what rate, in miles per hour, is he running? (Assume he runs at a constant rate.)

I think the answer (12 mph) is wrong. Also, I believe it should read 1/3 of the way through, but don't know how to prove it. Could you come up with some way to prove it, please? I would really appreciate it.


Answered by Penny Nom.
Word problems 2000-03-31
From Amy:
Question:
  1. a north bound train left at noon. four hours later a south bound train left the same station. at 5 o'clook they were 160 miles apart. what was the rate of both if the north bound train was going 20 miles faster than the other one.
  2. clark's final exam was given 5 times the weight of the weight of a weekly test. the avgerage of 15 weekly test was 91. the overall weighted average was 85. what did he make on the final.

Answered by Penny Nom.
Making fruit salad 2000-03-29
From A grade 5 student:
Miss.Muffet males a fruit salad by adding 31/2 pounds of grapes and 4 1/4 pounds of apples to every 2 1/4 pounds of melon. How many pounds of grapes does she use in 50 pounds of fruit salad?
Answered by Claude Tardif.
Sylvester's Problem 2000-03-23
From Sheryl Webb:
I am trying to find a proof of the theorem: Given n points in a plane, there is a line that contains exactly two points.
Answered by Chris Fisher.
The Kennedy Pep Club 2000-03-17
From David Grimmer:
The Kennedy Pep Club rented a bus to take all of its members to a baseball game. The cost per person was to be $18.00. However, those making the trip had to pay $24.00 each because 10 members cancelled at the last minute. How many pep club members took the bus to the game?
Answered by Penny Nom.
Two problems 2000-03-14
From Teresa Bostic :
  1. A man's age at death was 1/29 of the year of his birth. How old was he in 1949?
  2. At a contest, 2 persons were asked their ages. Then to test their ability mathematically, they were asked to give the ages together. One gave 44 and the other gave 1280. The first had subtracted one age from another, and the second had multiplied the two together. What were their ages?

Answered by Penny Nom.
An integer max-min problem 2000-03-13
From Paul Servic:
Maximize Q = xy 2 where x and y are positive integers such that x + y 2 = 4
Answered by Penny Nom.
A goat problem 2000-03-10
From Nancy:
A farmer has a fenced-in, circular field with an area of about one acre. A goat in the field is tethered to one of the fence posts with a rope which gives the goat approximately one-half acre of grazing area. To the nearest foot, how long is the rope?
Answered by Chris Fisher.
The isoperimetric theorem 2000-02-24
From Raj Bobal:
How can you prove Mathematically that the maximum area enclosed by a given length is a circle?
Answered by Chris Fisher.
Jogging up a hill 2000-02-17
From Aaron Williams:
A man jogs down the hill at 6 miles per hour and back up at 4 miles per hour. The total time that he travels is 5/4 hours. What is the total distance that he jogged.

The solution is supposedely 3 miles, but i believe that it is 6. Can you help me? Please.


Answered by Claude Tardif.
Weighing bales 2000-02-15
From Thinh Than:
You have 5 bales of hay. and they were weighed but they didn't weigh them individually, they were weighed in pairs. The pairs were 1&2, 1&3, 1&4, 1&5, 2&3, 2&4, 2&5, and so on. The weights of the pairs were 80,82,83,84,85,86,87,88,90, and 91. Can you tell me how much the bales weigh individually.
Answered by Claude Tardif.
Tennis doubles 2000-02-04
From Brittany Allinson:
Cheri, Beth and Jacinta are daughters of Mr. Sullivan, Mr. Marchand, and Mr. Benoit. Four of these people are playing tennis doubles. Mr. Benoit's daughter and Mr. Sullivan are partners. Cheri's father and Mr. Marchand's daughter are also partners. There aren't any father/daughter combinations. Who is Cheri's father?
Answered by Penny Nom.
Filbert Family Circus 2000-02-04
From Sarah:
As Clyde moves his broom around the circus ring, he thinks that he has finally found a job where he can make a clean sweep of things. Clyde is sweeping the ring where the lions perform in the Filbert Family Circus. The ring is 76 feet across and Clyde is using a broom 3 feet wide. He starts at the outside edge and works his way to the middle, making circles around the ring. After sweeping 3/4 of the ring, Clyde sees the lions coming with their trainer and scurries out of the ring. How many trips around the ring did he make?
Answered by Penny Nom.
100% on two tests 2000-02-01
From Craig and Chelsea Bruzzone:
A class of 35 students took a math test and a science test. 12 students got 100% on the math test. 9 students got 100% on the science test. There were 19 students who made less than 100% on both tests. How many students made 100% on both tests?
Answered by Penny Nom.
Mark's life 2000-01-30
From Jean and Larry Brandemuehl:
Mark passed 1/6 of his life in childhood, 1/12 in youth, and 1/7 more as a bachelor. Five years after his marriage, there was born a son who died four years before his father, at half his father's (final) age. How old was Mark when he died?
Answered by Penny Nom.
Can't make an equation! 2000-01-30
From Maggie Clarke:
An estate is to be distributed among the wife, 3 children and 2 grandchildren. The children will each receive 2x as much as each grandchild, and the wife will receive 4x as much as each child. If the estate amounted to $115,000, how much will each person receive?
Answered by Penny Nom.
Two problems 2000-01-29
From D. J. Anthony:

Hi, I am taking a course "math for elementary teachers" and I have two problems.

  1. How thick is a sheet of paper in your textbook.
  2. A little island has a population of 1,000 people. It doubles every 30 years. What will the population be in 30 years?, in 60 years?, when will it be over one million?

Answered by Peny Nom and Claude Tardif.
Word problem 2000-01-24
From April:

Ok, my algerbra teacher gave me this problem and by just looking at it I can tell what the answer is but he wants me to show how I got the answer in an equation form.

The tempature at 7am on a cold day was -4 degrees Celcius. At 3pm the tempature was 1 degree Celcius. Write and solve an equation to find out how many degrees the tempature rose between 7am and and 3pm.


Answered by Penny Nom.
A three digit number 2000-01-13
From Manali Shah:
My son is in 5th grade, he has a math problem. There is three digit number, which is greater than 500, can be divided by 7,9 and 11, but cannot be divided by 2,4,6, and 5.
Answered by Harley Weston.
How many coins is one calculator? 2000-01-09
From Mandy Brockmann:
Tom weighed 1 pen and his calculator with 4 coins. Then he weighed his calculator and 3 pens with 12 coins. How many coins is one calculator?
Answered by Claude Tardif.
Passing trains 1999-12-10
From Nancy:
Two trains, each of 80 cars, must pass on a single track which has a deadend siding. How can they pass if the siding can only hold a locomotive and 40 cars?

I do not understand this...help. It will be due monday. I thought it would be simple if the siding could hold 80 cars.
Answered by Penny Nom.

Camels and bananas 1999-12-02
From Marie Rich:
Corey Camel's harvest, worth its weight in gold, consists of 3000 bananas. The market place where the stash can be cashed in is 1000 miles away. However, Corey must walk to the market, and can only carry up to 1000 bananas at a time. Furthermore, being a camel, Corey eats one banana during each and every mile she walks (so Corey can never walk anywhere without bananas). How many bananas can Corey get to the market?
Answered by Claude Tardif.
Get rich quick 1999-12-02
From Holly Hutson:
If one cent were placed in an investment that doubles in value every day, what would be the value of the investment at the end of 30 days?
Answered by Penny Nom.
An area problem 1999-11-29
From Vicky Birch:
The length of a rectangle is three times it's breadth. If the length were 6 meters less, and the breadth were 6 meters more, the rectangle would be a square. Make a mathematical model and solve the resulting equation to find the breadth of the original rectangle. What is the area of the square?
Answered by Penny Nom.
Two candles 1999-11-24
From Skip Simpson:
You have two candles the same length. They are lit at the same time. One burns down in 4 hours; the other in 5 hours. How long does it take before one candle is three times the length of the other candle?
Answered by Walter Whiteley.
A goofy clock 1999-11-20
From Kate:
While repairing a watch, a jeweler removed the hands and inadvertently replaced the hour hand on the min. spindle and vice versa. he set the hands to read 2:00pm, which was the correct local time when I picked up the watch. A few minutes later, I noticed that the hands were taking goofy positions. What was the first time thereafter that the watch would show the correct local time?
Answered by Chris Fisher.
A matching quiz 1999-11-20
From William J. Ricciardi:
I gave a matching quiz the other day and one of my students got all 9 incorrect. That got me thinking......What is the probability that someone could get all 9 questions incorrect?
Answered by Peny Nom.
Selecting some players 1999-11-20
From Korbin Brown:
Roger Craig, during his term as team manager of the San Francisco Giants, received a strange communication from the team general manager, Al Rosen. Mr. Rosen told him to select 25 players according to this formula: 1/2 of the team had to be outfielders and infielders 1/4 of the team had to be starting pitchers 1/6 of the team had to be relief pitchers 1/8 of the team had to be catchers Roger was a bit confused by Al's request, yet complied anyway. How did he do it?
Answered by Claude Tardif.
The sixth game 1999-11-16
From Stephanie Sprunger:
Janice scored 18,21,27,16,and 19 points in five basketball games. How many points must she score in the next game to raise her average to 22 points per game?
Answered by Penny Nom.
Working Backwards 1999-10-16
From Linda:
I am having problems finding examples of problems that require "Working Backwards" used as a strategy for solving. We are required to give a presentation on Monday, October 25, 1999 in our school districts math class. We are trying to become better problem solvers and how to teach problem solving in the elementary classroom. Help! I can't find anything in my web searches.
Answered by Penny Nom.
A donkey and his carrots - part 2 1999-10-02
From Sarah Klink and Brenda Gamble:
Does anyone know the solution of the donkey who had to carry 3000 carrots to the market which was 1000 miles away? The donkey can only carry 1000 carrots at a time and he eats one carrot every mile he walks but this is only when he is carrying carrots. How many carrots can get to the market with the donkey carrying them?
Answered by Claude Tardif.
Jose and Arthur 1999-09-26
From Joel Hammer:
Jose can run around the track in 40 seconds. Arthur runs with Jose but in the opposite direction. They meet every 15 second. How long will it take Arthur to make one trip around the track?
Answered by Denis Hanson.
Bob and his dad 1999-09-14
From Yvette:
"Bobs dad is 27 yrs older then Bob. The sum of their ages 5 yrs ago was 45 yrs. How old is Bob now?"
Answered by Penny Nom.
Bales of hay 1999-09-13
From Ivy:
You are given 5 bales of hay. Two bales are weighed at a time, which equal the following weights:
110, 112, 113,114,115,116,117,118,120,121. What does each individual bale weigh?

Answered by Harley Weston.
Using Factoring in Problem Solving 1999-09-09
From Lori:
I have a problem with a problem. The Problem is....The sum of the squares of two consecutive positive even integers is 340. Find the integers.
Answered by Penny Nom.
The three jugs problem 1999-09-02
From Kent Lane:
I wonder if you could help me figure out this secondary Discrete Math Problem. I cannot figure out where this comes from.

Here's the question:

You have three containers. Container 1 is a three (3) liter container. Container 2 is a five (5) liter container. Container 3 is an eight (8) liter container that is full of liquid. The goal is to get 4 liters in one of the containers.

Stipulations: There are no marks on the containers to measure out the liquid.

All you know is that 1 is 3 l., 2 is 5 l., and 3 is 8 l. full of liquid.
Answered by Chris Fisher.

The Bellhop Problem 1999-08-29
From Gerard O'Neill:
Three fellows going to a Math Conference book into a motel. "That will be $30.00" says the bellhop. Each fellow gives $10.00 and they go off to their room. The manager enters and says "That was a $25.00 room. Go and give them $5.00 back."
The bellhop heads off but thinks....."how am I going to split $5.00 between 3 fellows? Hey I will keep two dollars and give each guy a dollar." He does just that.......each fellow now paid $9.00 and the bellhop kept two. 3 X 9= 27 plus the bellhops two = $29.00 Where is the missing dollar?

Answered by Harley Weston.
Crossing the Bridge 1999-08-27
From Debbie Walter:
If you have four people who need to cross a bridge in the dark with only one flashlight and only two of them can cross at a time and their speeds of crossing are as follows:
  • one person can cross it in one minute
  • one person can cross it in two minutes
  • one person can cross it in five minutes
  • and the slowest person can cross it in ten minutes
what is the shortest amount of time it would take to get all four across the bridge?

Answered by Penny Nom.
The three cousins 1999-06-01
From Irena:
I have three cousins on my dad's side. The product of their ages is 84. Next year the youngest will be 1/4 the age of the middle cousin. In 2 years from now, the oldest will be twice the current age of the middle. What is the age of my oldest cousin?
Answered by Harley Weston.
Three Daughters 1999-05-18
From Norm Campbell:
I recently received a beat up copy of the three daughters question. I have only some of the question. It ends after the statement "the oldest one looks....... It does not finish. Is there any chance that someone can finish it off for me?
Answered by Rick Seaman and Harley Weston.
Missing the boat 1999-05-11
From Judith Moe:
Our daughter is in Grade 3 and seems stubbornly determined NOT to learn how to add and subtract. She's been assessed as quite intelligent in reading and writing,...Do you know of any alternative approaches to teaching/learning math that are proving useful in such circumstances.
Answered by Diane Hanson.
Bill and Sam at the Casino 1999-04-23
From Rham Stewart:
Bill and Sam went off to bet at the casino. Each started with the same number of dollars. At the end of the first hour, Bill had won 20$ and sam had lost 20$. At the end of the second hour, BIll had lost two thirds of his money, and Sam had won the same amount that Bill had lost. At that point, sam had four times as much money as BIll. How much did each one start with?
Answered by Penny Nom.
Shopping at Wegman's 1999-04-22
From Stan:
Joanne, Steve, Pat, Alice, Joan, and Bill go to Wegman's at the same time. Joanne buys 2 gal of milk, 1 dozen oranges, 8 apples, and 2 lb. of ground beef, paying a total of $13.24. Steve buys 3 qts. of milk, 5 lbs. of ground beef, 10 lb. of potatoes, and 2 bags of mixed vegetables, paying a total of $16.95. Pat buys 3 gal. of milk, 2 dozen oranges, 1 dozen apples, 5 lb. of potatoes, and 5 bags of mixed vegetables, paying a total of $25.09.
....
Find the cost of: 1 qt. of milk, one orange, one apple one lb. of ground beef, one lb. of potatoes, and one bag of mixed vegetables.

Answered by Penny Nom.
A ladder problem 1999-04-22
From Michael Blade:
There is a cube box 3feet x 3feet x 3ft resting against a vertical wall on level ground. Resting against the outside corner of the box is a ladder 10 feet tall, this ladder is of course resting on the ground but also against the outside corner of the box and rests on the wall.

The question- the ladder is divided into two unequal section bounded by the box to the ground and the box to the wall. what are those dimensions?
Answered by Penny Nom.

The birthday problem 1999-04-19
From Gordon Cooke:
How do I explain the rapid rise in the probability that at least two people in a group of n have the same birthday. We have derived the formula for p(n) and have graphed it and have seen how the results are counter-intuitive. At around n=23 p(n)=.5 and at n=50 p(n) is very close to 1. It does not help to simplify the problem (eg use months instead of days) because then our intuition does correspond more closely to reality. Is there some way we can see how the probabiltiy of a "collision" increases with n? It makes me think of data storage problems and hash tables in computer science.
Answered by Harley Weston.
Extra point questions 1999-04-15
From W Troy Council:
My teacher has given me 5 extra point questions. I have figured out two, but i need a little assistance with 3 others, could you help me with:
  1. A stablehand agreed to work for 1 year. At the end of that time, she was to receive $240 and one horse. After 7 months she quit the job, but still received the horse and $100. What was the value of the horse?

  2. If the roots of x2 + bx + c are pi and square root 2, then find "b" and "c."

  3. ...

Answered by Penny Nom.
Two contest problems 1999-04-14
From Bruce Baldwin:
We have students that are preparing for the Pythagoras Contest which is a nation wide Grade 6 math challenge.

In the preparatory tests we have run into several questions that we can not understand.

Is there anyone who can help us?

  1. If 1 * 9 = 0, 9 * 8 = 72, 2 * 8 = 9, then 9 * 9 = ?

  2. ...

Answered by Judi McDonald and Walter Whiteley.
A word problem 1999-03-25
From Anna Gariss:
A second number is 4 less than a first number. The product of the second number and 3 more than the first number is 18. Find the pair of numbers.
Answered by Jack LeSage and Penny Nom.
A field trip 1999-03-18
From Jennifer Rudd:
This word problem is driving me nuts! I could really use your help. Its a secondary level question. Here it is:

A group of students planned to charter a bus for a school field trip. Each student was to share the $810 cost equally. However, 3 people were unable to go and this increased the share of each person by $3. How many went on the trip?

Thanks!
Answered by Jack LeSage and Penny Nom.

Four Corners Maths Problem 1999-02-16
From Helen Williams:
I am currently a student teacher in the UK and I have to write a 1000 word report on the following maths problem which I am completely stuck on! PLease HELP!! Choose and 3 by 3 section of the hundred square. Add the total of the four corners. How many different groups of four numbers can you find that add up to that number? eg,
123
111213
212223
Total of 4 corners add up to 48.

Adding 2, 13, 22, 11 also make 48 etc..

How many different groups of 4 numbers would add up to 48?

How would these results compare with thoses obtained from a 3 by 3 square in which the numbers are consective? eg,
123
456
789

PLEASE HELP AS I AM COMPLETELY STUCK? WHY DO ALL THESE DIFFERENT WAYS ADD UP TO THE SAME NUMBER??
Answered by Harley Weston.

Word problems 1999-02-09
From Brian Rodriquez:
Please answer these problems with a formula. Also explain in English step by step how these problems should be solved. I know the answer I just don't know how the answer was achieved Thank you very much for trying to help
  1. A ski lift carries a skier up a slope at the rate of 120 feet per minute and he returns from the top to the bottom on a path parallel to the lift at an average rate of 2640 feet per minute. How long is the lift if the round trip traveling time is 20 minutes?
  2. An airplane on a search mission flies due east from an airport, turns and flies due west back to the airport. The plane cruises at 200 miles per hour when flying east, and 250 miles per hour when flying west. What is the farthest point from the airport the plane can reach if it can remain in the air for 9 hours?

Answered by Jack LeSage and Penny Nom.
Some Word Problems 1998-12-17
From Jennifer Rudd:
To Whom It May Concern,
I'm having some difficulty with these word problems. Maybe you could help. Thanks.
  1. A matte of uniform width is placed around a painting so that the area of the matted surface is twice the area of the painting. If the outside dimensions of the matte are 40cm and 60cm, find the width of the matte.

  2. The Joneses start out A 1520km car trip to Walker Park. On the first day they cover 960km. On the second day they complete the trip, but a rainstorm causes them reduce their average speed by 10km/h.If the 2-day trip took a total of 20 h, what was the average speed on each day?

  3. Granny stood up at her grandson's wedding reception and announced " My age now is a perfect square and it is equal to the difference between the square of my grandson's father's age and the square of his mother's age. Come to think of it the difference my age and the square of my grandson's age is seven times the age of his mother, my daughter in law." The grandson's wife remarked to her new husband," That means the difference between the squares of our ages is three times the age of your father!" How old was the bride?

  4. The volume of a retangular box 4cm high is 144 cubic cm. If the perimeter of the base is 24cm, find the dimensions of the box.
P.S. the first two questions are the most important ones that need to be solved.

Thanks for your help!!
Answered by Jack LeSage and Penny Nom.

Problem Solving 1998-10-15
From Pamela Fisher:
Can you give me a comprehensive list of problem solving stategies. I teach grade one in a K to 8 school and we are working on improving problem solving at all grade levels. I have heard that there is a list of various strategies that we could adapt to different grade levels. Any help you give me would be appreciated.
Thank you. Pamela Fisher

Answered by Walter Whiteley.
Students and Lockers 1998-10-02
From Mike:
There is a row of 1000 lockers.
There is a line of 1000 students.

Student number 1 starts at the first locker and opens all 1000. Student number 2 starts at the second locker and closes every other one. Student number 3 starts at the third locker and goes to every third one, closing the open ones and opening the closed ones. Student number 4 does the same with every fourth locker and so on down the line... After all 1000 students have gone how many lockers are open and which ones are they?

Please help! There is proboly a simple solution but we couldnt figure it out for the life of us. Please let us know how you solve it.
Answered by Patrick Maidorn and Penny Nom.

The Birthday Problem 1998-06-12
From Josh Skolnick:
if you are at a party what is the least amount of people that have to be there to have at least a 50% chance of having 2 people with the same birthday? and how do you get the answer thank you in advance

josh
Answered by Harley Weston.

Logic and Matrix Instruction 1998-04-24
From Robin Booker:
I need assistance with instruction strategies to teach the construction of a matrix, solving a logic problem. Providing instruction in the construction of a simple matrix , no problem. However, I stumpted on this one.

Five players were chosen as All Stars at the basketball banquet. Based on the following clues, find the player's name, team, uniform color and number of points scored....
Answered by Harley Weston.

Seed Problem 1998-03-26
From Jody A. Johnson:
Seed Problem: The height of an amazing plant grown from a seed varies linearly with the time it has been in the ground. After six days it is 6cm tall and after 60 days it is 15.8m (1580 cm) tall.
  1. Write the particular equation giving the height as a function of time.
  2. Find the intercepts and explain them.
  3. What would be the height in one year?
  4. How long would it take for the plant to grow to a height of 1km?
I'm having a problem with this equation. Could you please help. Thank you.

Answered by Penny Nom.
Guess and Check 1997-11-25
From Don Ramey:
Hope you can help !!!! my daughter is in the 4th grade.. she has brought home a homework paper and the subject is problem solving. she does not understand what is expected of her. I have tried to help, but I do not understand either.

She is to use the Guess and check Strategy.

Ben knows 100 of his neighbors by name. Ten are fish. The rest are frogs and turtles. He knows the names of twice as many turtles as frogs. How many turtles does he know by name.?

Please help by explaining the guess and check strategy for a problem like this.
Answered by Diane Hanson.

A donkey and his carrots 1997-01-28
From Emily Lind:
There is a donkey who carries carrots. A farmer has 3,000 carrots to carry to the market. The market is 1,000 miles away. The donkey can only carry 1,000 carrots at a time and he eats 1 carrot every mile that he walks but this is only when he is carrying carrots. How many carrots can the farmer get to market by having the donkey carrying them?
Answered by Penny Nom.
Smith, Rodriguez and Jones 1996-11-07
From Rafayel Ambartsumyan:
On a train, Smith, Rodriguez, Jones are the fireman, brakeman, and engineer, but not in that order. Also aboard the train are three businessman who have the same names, a Mr. Smith, a Mr. Rodriguez, and a Mr. Jones. ..... Who is the engineer?
Answered by Penny Nom.
Will this always yield a palindrome? 1996-08-28
From Andy Golden:
My friend Justin Skywatcher, said that when his children were in 6th grade, they were taught that if you take any number, reverse it and add the two together, a palindrome will result. If not, continue performing the above operations, and a palindrome will eventually result. Will this always yield a palindrome?
Answered by Chris Fisher.
Grade nine problem solving 1996-03-11
From Azmat Hussain:
Can math problems be actually fun and engaging?
Answered by Diane Hanson.
(5+3)/2-3= 2010-12-10
From chantal:
(5+3)/2-3=
Answered by Claude Tardif.
Qui suis-je? 2007-02-28
From un parent:
bonjour, le problème est le suivant : Qui suis-je? Mon tiers augmenté de mes deux cinquième est égal à la moitié de mon triple Serez t'il possible d'avoir la solution à ce problème et que je puisse y comprendre un peu quelque chose quand même Je vous remercie d'avance et espère bientôt vous lire
Answered by Claude Tardif.
Mon problème (né d'un retour aux conclusions du prix Nobel d'économie ) revisité 2005-09-27
From Nzitat:
Soit L un sensemble de distributions de probabilités. Désignons par p une distribution de probabilité quelconque. En clair p=(p0,..., pm) où m >0 est fini. Appelons Vi, i=1,...,n, une fonction définie sur L et à valeurs dans l'ensemble des réels. De même Wj, j=0,...n est une fonction définie sur L et à valeurs dans l'ensemble des réels. Vi, Wj sont définies ainsi pour tout p:....
Answered by Claude Tardif.
problème de math 2005-06-03
From Nadia:
1* La somme de 3 multiples de 6 consécutifs est 72.Quels sont ces nombres?

2* Dans la fabrication d’un alliage, on utilise 5g de manganèse pour 32g de fer.
a) Quelle quantité de manganèse retrouve-t-on dans un morceau de cet alliage s’il contient 512g de fer? 00015166

b) Quelle est la masse totale de ce morceau si le fer et le manganèse en sont les seules composantes?

3*...

Answered by Claude Tardif.
J'ai deux fois l'âge que tu avais quand 2004-12-03
From Un eleve:
Julien dit à Nicolas:"J'ai deux fois l'âge que tu avais quand j'avais l'âge que tu as.Quand tu auras l'âge que j'ai la somme sera égale à 63".A toi de trouver l'âge de Julien et de Nicolas.
Answered by Claude Tardif.
Un problème de math 2004-09-10
From Sophie:
(V est en fait le signe de la racine carrée)

(3 / V27) x ( V75 ) = ???

Answered by Claude Tardif.
Un problème mathématique 2002-04-23
From Mylène:
En me servant de ces chiffres 1 2 3 4 5 6 je dois les utiliser seulement qu'une fois en faisant l'équation suivante.
? X ?   X  ? __    __    ?   ? X ?   = 2 

Answered by Claude Tardif.
 
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