







A 10foot piece of PVC pipe 
20141021 

From David: A plumber has a 10foot piece of PVC pipe. How many 9/5foot pieces can be cut from the 10foot piece ? Answered by Penny Nom. 





A mixture problem 
20130729 

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 10pound mixture contained 50 percent peanuts, or 5 pounds. Now you have 11 pounds of peanuts in a 16pound 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. 





100 animals 
20130225 

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. 





Guess and Check 
20120924 

From Myron: My daughter has homework involving Guess and Check. Her Math book is no help with the question in her homework so hopefully you can help me. Here's the question: "The sum of a number and it's double is 24. Use the Guess and Check method to find the answer".
Help!! Answered by Robert Dawson. 





Buying school supplies 
20120309 

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. 





Roosters, hens and chicks 
20100610 

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. 





Three numbers that have the sum of 45 
20091204 

From amanda: there are three numbers that have the sum of 45.The greatest of the three numbers is 2 greater than the least number.What are the numbers?what is the formula to get the answer? Answered by Penny Nom. 





Two movies in one day 
20091118 

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. 





Guess and check 
20091101 

From Laura: There is a game at the fair in which you toss
balls into bowls to win fish. There are 52
bowls. The larger bows contain five fish, and
the smaller ones contain three fish. If there are
202 fish total, how many bowls of each size are
there?
Laura Answered by Penny Nom. 





Guess and check 
20091027 

From Eileen: Caslin has a total of 50 red beans and green beans. If she trades 1 red bean for 4 green beans, she will have 113 green beans, how may red beans and green beans does she have? Answered by Penny Nom. 





Sarim has $1 in coins. 
20091027 

From Elizabeth: Here is the question asked: Sarim has $1 in coins. Onefifth of the coins are dimes, twofifteenths are nickels, and twothirds are pennies. Tell how many of each coin he has. I am not sure how to start this problem. Answered by Penny Nom. 





The sum is 43 and the difference is 9 
20090302 

From Teresa: Hi, My 10yo son came home with this two problems and we can't figure out how to solve them.
1. Find two numbers whose sum is 43 and whose difference is 9 and
2. Find two numbers whose sum is 25 and whose difference is 11..
Many thanks
Teresa Answered by Robert Dawson, Stephen La Rocque and Harley Weston. 





wo consecutive numbers with a product of 9506 
20090225 

From sofie: find two consecutive numbers with a product of 9506 Answered by Penny Nom. 





Two numbers 
20081215 

From HERB: I am thinking of two whole numbers. When I add them , their sum is 123. When I subtract the lesser number from the greater number their difference is 45. What are my numbers? Answered by Penny Nom. 





The product of two numbers is 2400 
20081016 

From belinda: The product of two numbers is 2400, one number is 20 more than the other number. what are the two numbers? Answered by Penny Nom. 





Two consecutive numbers 
20080921 

From tomas: what is the two consecutive numbers with a product of 4160? Answered by Penny Nom. 





I will be x years old in the year x squared 
20080622 

From rachel: you probably know someone who will x years old in the year x squared. When was that person born? Answered by ha. 





Three consecutive numbers 
20071208 

From Aris: The product of 3 consecutive numbers is 1716. Find their sum. Answered by Stephen La Rocque. 





Guess and check 
20071203 

From Marissa: I was sent home with a guess and check work sheet. i am not sure how i am sopouse to do this.
a sleeping bag and 2 mess kits costs $37.00.A mess kit and two sleeping bags cost $56.00
what is the cost of one sleeping bag. Answered by Stephen La Rocque. 





6 consecutive multiples of 6 
20071111 

From jeff: find 6 consecutive multiples of 6 whose sum is the least common multiple of 13 and 18 Answered by Penny Nom. 





the sum of two consecutive integers is 51 
20071017 

From Keira: the sum of two consecutive integers is 51 Answered by Penny Nom. 





Nickels, dimes and quarters 
20070318 

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. 





Guess and check 
20070117 

From Gwen: scott has 13 music boxes that play either patriotic songs or holiday tunes.he has 5 more music boxes that play holiday tunes. how many of each kind does he have Answered by Penny Nom. 





How do you find the length and width of a rectangle if you know ... 
20061015 

From Anne: How do you find the length and width of a rectangle if you know the perimeter of the rectangle is 48 m and the area is 144 m squared? Answered by Stephen La Rocque and Penny Nom. 





How many students and how many cookies are there? 
20060310 

From Stephanie: A group of students is trying to evenly divide the cookies remaining from a bake sale. If each student takes three cookies, there are five cookies left. If each student takes four cookies, they are two cookies short. How many students and how many cookies are there? Answered by Penny Nom. 





How many beanbag animals does each friend have? 
20060209 

From A student: Melissa has 1 more than twice the number of beanbag animals Rachael has. Latanya has a third as many bean bag animals as Melissa has. Together, the three friends have 38 beanbag animals. How many beanbag animals does each friend have? Answered by Steve La Rocque and Penny Nom. 





Mario is 16 years older than his youngest sister, Mercedes. 
20051108 

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. 





Guess and Check 
20051101 

From Robin:
Greta has a vegetable garden. She sells her extra produce at the local Farmer's Market. One Saturday she sold $200 worth of vegetables peppers, squash, tomatoes and corn.
Greta received the same amount of money for the peppers as she did for the squash.
The tomatoes brought in twice as much as the peppers and squash together.
The money she made from corn was $8 more than she made from the other three kinds of vegetables combined.
How much did Greta receive for each kind of vegetable?
Answered by Penny Nom. 





A sum of 75 and a difference of 13 
20051030 

From Vicki: Find two numbers that have a difference of 13 AND A SUM OF 75? We need to learn about the formula or procedure. Answered by Penny Nom. 





There are 28 boys and girls in a class.... 
20051009 

From Clement: There are 28 boys and girls in a class. Each boy collects 10 stamps and each girl collects 9 stamps. The boys have 90 stamps more than the girls. How many boy and how many girls are there? Answered by Penny Nom. 





A five digit number 
20041006 

From A parent: What is the 5 digit number in which the first 2 digits are the square of the 3rd digit and the last 2 digits are the square of the digit that is one less than the third digit? The sum of all the digits is 22. Answered by Penny Nom. 





The price of a book 
20040918 

From Dorly: If the number of toonies required to buy a book is nine more than the number of
fivedollar bills required to buy the same book, determine the cost of the book. Answered by Penny. 





Two consecutive negative integers 
20040117 

From Amanda: Find two consecutive negative intergers whose product is 182. Answered by Penny Nom. 





The product of the page numbers 
20031107 

From Morgan and Mom: You open a book and the product of the page numbers is 12,656. What are your page numbers? Answered by Penny Nom. 





I can Guess your birthday 
20030829 

From Michelle: Hi I am trying to explain to my children how this problem works. It was sent to me on the internet and I can not figure it out. They keep asking me how it works and I can not tell them. The problem is: "I can Guess your birthday:: Answered by Penny Nom. 





Two piles of cards 
20030524 

From Sam: A standard deck of 52 cards (26 red, 26 black) is separated into two piles, not necessarily equal in size. The first pile contains seven times as many black cards as red cards. The second pile contains a number of red cards that is a multiple of the number of black cards in that pile. How many red cards are in the first pile? Answered by Penny Nom. 





The square of my age was the same as the year 
20030414 

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. 





Jo's books 
20030121 

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. 





Nixon, Jefferson, and Madison 
20021008 

From Lisa: The longestlived 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. 





Dan is 4 inches taller than Mike. 
20020904 

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. 





Some algebra 
20020511 

From A student:
/x  2 ^4/x = 8
/ = square root sign ^ = 4th root of x
also, dividing 2x3 3 6x __________ 4 + 2x
the 2x3 is 2x to the third Answered by Penny Nom. 





Cube roots 
20020326 

From Kathy: My son is in 4th grade and needs to simplify the cube roots of 216, 512 and 64. How does he do this with a regular calculator or without? Answered by Penny Nom. 





A farmer takes 100 animals to the market to sell. 
20020219 

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. 





Renee, Paulo and Peter 
20011118 

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. 





Chickens and sheep 
20010531 

From Monica: Farmer Bob of the Martian Colony counted his sheep and chickens in an unusual way. When he finished, he reported that he had counted 86 feet and 26 heads. Use a guess and check table to find how many sheep and chickens are owned by the famer. Answered by Paul Betts and Penny Nom. 





4160 
20010307 

From Jessica: The product of two consecutive page numbers in this book is 4160. What are the page numbers? Answered by Penny Nom. 





Two questions 
20010104 

From Justine: first: A diagonal of a rectangle is the square root of 13 meters and the area of the rectangle is 6 meters squared. What are the dimensions of the rectangle? last: Find the ordered triple of nonzero digits (A,B,C) for which (AA)squared=BBCC where AA and BBCC are respectively, twodigit and fourdigit baseten numerals. Answered by Penny Nom. 





Cats and dogs 
20001224 

From A student: Brian has fourteen pets. All of his pets are cats and dogs. Brian has four more cats than dogs. How many dogs does he have? Answered by Penny Nom. 





The three cousins 
19990601 

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. 





Guess and Check 
19971125 

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. 

