







How to calculate percentage change 
20070803 

From Galland: I am working on graphs and I need to find the percentage of increase from one figure to another. How do I do that? For instance staff hours for 2006 were 28011 and for 2007 were 31230. How do I find the percentage of increase? Answered by Stephen La Rocque. 





Calculating the area (acreage) of a four sided lot 
20070718 

From A property owner: I have a real estate property and the lot size is something I need to find out. I know the lengths of the four sides, but it isn't a rectangle, it is an odd shape. How do I find the acreage? Answered by Stephen La Rocque. 





How to convert fractions to percentages 
20070705 

From Anita: How do I turn 1 3/20 to a percent? Answered by Stephen La Rocque and Melanie Tyrer. 





10 of 24 hours as a percentage 
20200527 

From Larzy: what is 10 of 24 hours in percentages Answered by Harley Weston. 





Aaron and Bill's ages 
20200312 

From Heather: My granddaughter had this third grade math problem. Aaron is 4 times as old as his brother Bill. In ten years Aaron will be twice Bills age. What are their ages? Answered by Penny Nom. 





Is there an equation to find what percent of 0 is 1? 
20200309 

From Asher: Question: Is there an equation to find what percent of 0 is 1.
I remember learning quite a long time ago that the answer inst 0 and it isn't infinity. I'm pretty sure it was something like %=0 approaching infinity or %=1 approaching infinity. And I know it depends what value you assign the numbers i.e. dollars or temperature. Furthermore, is asking "what percent 1 dollar is of 0 dollars" the same question as "what percent profit do you make from selling something worth 0 dollars for 1 dollar."
Thank you for your time and consideration
Asher Answered by Penny Nom. 





What was the original price? 
20200201 

From Gracie: If you buy something for $6.30 and it’s 30%off what was the original price? Answered by Penny Nom. 





Dividing the tips 
20200102 

From Pat: trying to figure out division of tips I have 3 full time employees 40 hrs a week and 1 part time worker 12 hours a week what percentages do i give them to give them appropriate tips :) Answered by Harley Weston. 





Sabrina's age 
20191231 

From Nakyi: The sum of Sabrina’s age and twice her sister’s age is equal to their mom’s
Age. If Sabrina’s sister is two years older than her and their mom is 37, how old is Sabrina? Answered by Penny Nom. 





Caleb age and Juliet age add up to 25 years. 
20191122 

From tolulope: Caleb age and Juliet age add up to
25 years. eight years ago,Caleb was twice as old as Juliet. how old are they now. Answered by Penny Nom. 





The sum of the ages of Ruth and her mother is 77 years. 
20191106 

From Lydia: The sum of the ages of Ruth and her mother is 77 years. The difference in their ages is 27 years. How old is each? Answered by Penny Nom. 





Increasing your average mark 
20191101 

From Elena: After 9 weeks Mikayla has an average ark of 5 out of 10 in the weekly spelling tests. What is the minimum number of extra weeks now required to raise her average to 7? Answered by Penny Nom. 





Average savings 
20190906 

From Puchu: A student was saving an average of £2 per week for 25 weeks. He then found a part time job and after total of 45 weeks his average savings rose to £9 per week
How much did he save over 20 weeks after finding job? Answered by Penny Nom. 





David Is 6 years older than his sister Delia 
20190827 

From Abigail: David Is 6 years older than his sister Delia. In 10 years the sum of There age 52. how old are David and Delia today Answered by Penny Nom. 





The average height of a wall 
20190815 

From Jeff: Trying to figure the average height of a sloped foundation wall.
The lowest point is 24 inches or 2 feet.
The highest point is 116 inches or 9’ 8 inches.
Can this be figured without the degree of slope or can we assume it is
Equaled sloped from point a to point b. Thanks Answered by Penny Nom. 





What is the original price? 
20190515 

From Tyler: if 45% of an item is $90.00, then what is the original price Answered by Penny Nom. 





Why Mean? 
20190508 

From Jill: A group of teachers were trying to figure out why the”mean” is called mean  do you know?? Answered by Penny Nom. 





If 45% of an item is 90.00 
20190501 

From Gavin: If 45% of an item is 90.00 what is the original price? Answered by Penny Nom. 





Three friend's ages 
20190425 

From Lemicio: Janet is 10 years older than Karin, who is twice the age of Josef. If their combine age is 55, how old is each one now? Answered by Penny Nom. 





80% of an item is $200.00 80% of an item is $200.00 
20190425 

From kayla: if 80% of a item is $200.00 what is the original price Answered by Penny Nom. 





Percentage change in refractive error 
20190404 

From Ammara: Hi, I'm trying to figure out how a paper I'm looking at has found a percentage from the numbers below. its a paper comparing two lenses. it says that the new lenses 'slowed the progression of refractive error by approximately 50%'.
the refractive error with the old lenses was 2.26 after two years it was 3.28
the refractive error with the new lenses was 2.24 after two years the refractive error is  2.75
Thank you so much for your help it is most appreciated! Answered by Penny Nom. 





Percentages 
20190330 

From Mari: I am trying to find out what percentage of our worlds population does the youtuber
Pewdiepie have for subscribers? So he has 91 million subscribers and there are roughly
7.53 Billion people in the world. So what percent of our worlds population does Pewdiepie
have for subscribers? Am I asking this correctly? I am just curious for marketing reasons
and how much of the worlds market share does Pewdiepie have for his youtube
channel? I just do not know how to set up the problem to find the answer? Answered by Penny Nom. 





Slope and percentage 
20190319 

From Tom: I need a slope of 2 Inches every 30 feet what is the percentage to put on my pipe lazer. thank you Answered by Penny Nom. 





Numbering pages 
20190120 

From chungus: It takes 852 digits to number the pages of a book consecutively. How many pages are there? Answered by Penny Nom. 





Sale price and employee discount 
20190118 

From Margaret: What is the formula to find the
75% off full price item that was already marked 30% off? Answered by Penny Nom. 





0.025% of 575 billion 
20181128 

From JoAnne: What is .025% of 575 billion dollars? Answered by Penny Nom. 





Percentage markup 
20181117 

From Sher: Cost price is $32,500 and selling price was $ 85,495.25, what percent markup was made? Answered by Penny Nom. 





The original cost when you only know a percentage 
20181113 

From john: I was wonder how to find the Original cost when you don't know original cost
The amount paid was 13.82 that is suppose to represent 20%
because Insurance pays 80%
Thank You Answered by Penny Nom. 





Splitting a commission 
20180913 

From Beth: If Sales Prices is $170975 and commission is 6% but listing agent gets 60% of the 6% and selling agent gens 40% of the 6% what is the actual percentage that each would actually receive? Answered by Penny Nom. 





Working with percentages 
20180826 

From Kenneth: 16 is 4% of what amount?
The answer can be determined by the following unusual manner:
4% = 16
1% = 4
100% = 400
Can the following solutions for the following be determined by using the
same type of calculation?
16 is ?% of 400
? is 4% of 400
I thank you for your reply. Answered by Penny Nom. 





How many students passed the test? 
20180720 

From florian: In Mr. Edgecomb's math class, 30 students took an exam on statistics. If the average passing grade was 84, the average failing grade was 60, and the overall average was 80, how many students passed the test? Answered by Penny Nom. 





Pre tax and post tax percentages 
20180522 

From Tom: Hi,
I work in a clothes shop which can also do mailorders. My Head Office
has sent a report with which we can check the records we keep in store
tally with those at HO.
According to that report we have taken £2578.25 in orders, excluding VAT (20%),
which would therefore be £3093.91 including VAT (2578.25+20%=3093.91).
According to my records, we have taken £3179.32 including VAT, which would be
£2543.45 excluding VAT (3179.3220%=2543.45).
Why is it that the difference between the VAT inclusive figures (3179.323093.91) is +£85.41, but
the difference between the VAT exclusive figures (2543.452578.26) is £34.81?
Now, I can see from the report that 1 order has not been recorded by HO, and I
know that our average order value is around £30, so the £34.81 makes sense.
But surely both figures should be a minus, regardless of whether they include VAT?
I'm sure there is an obvious answer, but I just cannot see it! Any help would be gratefully
received.
Thanks,
Tom Answered by Penny Nom. 





How many pet dogs? 
20170926 

From Michelle: In 2016 there were about 135 million households in the United States. 36.5% of the households own at least one dog. On average, these households have 1.6 dogs. How many millins of pet dogs were in the United States in 2016? Answered by Penny Nom. 





Average price 
20170915 

From Annette: If I sold a widget at $15.50 17.5% of the time and $16.50 88.5% of the time what is the algebraic expression for that. How do I arrive at an average price Answered by Penny Nom. 





What percentage did I take? 
20170614 

From david: you have $5.85 I took $1.06 from you,what percentage did I take? and the formula to solve it. Thank you Answered by Penny Nom. 





Canada's population as a percentage 
20170511 

From bethmarie: What percentage of the world population (7.5 billion) is Canada's population (36 million).
Thank you very much! Answered by Penny Nom. 





Faster than as a percentage 
20170318 

From Maximilian: Hi, i have a strange issue with the phrase "faster than" in percentage, ie. if i have a 10MB/s connection, and somebody has a 7MB/s connection, is it 30% faster or 50% faster.
which ( affirmation, phrase, sentence ) is the right one:
a:) My 10MB/S connection is 50% faster than the 7MB/s ?
or
b:) My 10MB/S connection is 30% faster than the 7MB/s ?
Thanks in Advance, and please if you can teach me why ! Answered by Penny Nom. 





Percentage change in productivity 
20170315 

From Sunni: I'm working on a graph and I need to find the percentage of increase from one figure to another. How do I do that? For instance our department started with a workload of 1773 in Jan and ended with 341 in Dec. In addition to that we received 2088 new items from Jan  Dec with an average of 5 workers. How do I find the percentage of increased productivity if any? Answered by Penny Nom. 





The ratio of two ages 
20170315 

From Angel: The sum of Keith's age and Alan's age is 36. Four years ago, the ratio of Keith's age to Alan's age was 4:3. Find the ratio of their present age Answered by Penny Nom. 





The average rate of change of cot(t) 
20170118 

From Brianna: Hello!
It's been a while since I've taken a math course, and I'm stuck on a problem in my calculus course.
The question is this:
Find the average rate of change of the function over the given interval.
h(t)=cot(t) a) [5pi/4, 7pi/4] Answered by Penny Nom. 





A mixed number as a percent 
20161018 

From Jayda: how go you change a mixed number into a percent
Ex. 3 3/4 Answered by Penny Nom. 





The ages of 10 children 
20160817 

From Diann: Sum total of the ages of 10 children 10 children is 110, what are their ages if all are 2 years apart?
thank you Answered by Penny Nom. 





One million is six percent of what number? 
20160426 

From Colleen: One million is six percent of what number?
Thanks! Answered by Penny Nom. 





15.86 acres 
20160421 

From Ronald: If a rectangular piece of land is 1320 ft. on one side, how many feet would be required on the other side to equal 15.86 acres? Answered by Penny Nom. 





A percentage problem 
20160302 

From jehanzaib: if x is a percentage: e.g. 40%
than what does "x/(1+x)" = 29%. what is the explanation. Answered by Penny Nom. 





Converting a fraction to a percentage 
20160222 

From Preitty: How can I turn fractions into percentages when the denominator is not a number that can multiply to 100? Answered by Penny Nom. 





A bonus of 8% of sales 
20160222 

From Barghavi: A man earns $325 per week plus an additional 8% on any sales over $500.
If he makes $6,250 in sales, how much money in total does he earn that week?
thank you! Answered by Penny Nom. 





38 is what percent of 400? 
20160207 

From chris: 38 is what percent of 400? Answered by Penny Nom. 





Percentage reduction 
20160130 

From Kuuku: The daily production targets in 2000 was 60,000 units this declined to 48,000 units in 2001 but was projected that further 300units reduction would be experienced in 2002. Calculate the percentage reduction by 2002. Answered by Penny Nom. 





Two increases of 20% 
20160127 

From Z: How do I find how many books are in a library given a problem like this... The number of books increase after buying 20% more in May. The number increased again by 20% after they were given 300 books. How many books did it start with?. Answered by Penny Nom. 





Two increases of 20% 
20160127 

From Z: How do I find how many books are in a library given a problem like this... The number of books increase after buying 20% more in May. The number increased again by 20% after they were given 300 books. How many books did it start with?. Answered by Penny Nom. 





Three discounts 
20160110 

From Tiffany: Khairul wants to buy a sofa set. He is offered 3 successsive discounts of 10%,20% and 25%, and he can arrange them in any order he wants. Which order will benefit him the most? Explain your answer. Answered by Penny Nom. 





Book sales 
20151230 

From Sandra: Your finance text book sold 56,500 copies in its first year. The publishing company expects the sales to grow at a rate of 20.0 percent for the next three years, and by 8.0 percent in the fourth year. Calculate the total number of copies that the publisher expects to sell in year 3 and 4. Answered by Penny Nom. 





How can he raise his average to 90? 
20151229 

From Raj: Harris has an 87 in a class where daily works count 20%, quizzes count 20% and tests count 60%.
If there are only two test scores what must the score on his second test to raise his average to 90? Answered by Penny Nom. 





A troublesome word problem 
20151228 

From Linda: James is now 3/5 John's age. Three years ago, he was 1/2 John's age. Three years from now, he will be 2/3 John's age.
How old are they now? Answered by Penny Nom. 





Converting a fraction to a percent 
20151222 

From Sharon: How do you turn a fraction into a percentage? I'm beyond confused with this. Even though I think of myself as a good math student doing 8th grade math at a young age, this just makes me want to scream! I get the way you turn 1/4 into 25%, but when it comes to something like 7/9 = ? I just can't figure out the answer. Answered by Penny Nom. 





A word problem with percentages 
20151205 

From Caedryn: After giving 25% of her stickers away, May had 50% as many stickers as Rose. If they had 200 stickers altogether at first, how many stickers did Rose have? Answered by Penny Nom. 





20 million as a percentage of 7.3 billion 
20151118 

From Nick: Based on the estimate of the worlds current population (7.3 billion people), I'm trying to work out what percentage of that figure 20 million people would amount to?
(Apologies in advance that I've no idea if the 7.3 billion figure is an American Billion or UK billion)
Thanks for any help.
Nick. Answered by Penny Nom. 





Roof Square footage 
20151111 

From Todd:
Question from Todd:
Good Day.
I have to figure out the square footage of a quonset style roof that's not playing by the rules The building dimensions (rectangular) are 63'x135' the height of the roof is 9.25'. It not an entire Quonset, It's that style of roof,(curved). There are concrete block walls 10' up to the metal roof.
Thank you!
Todd Answered by Harley Weston. 





The area of two lots 
20151013 

From Lynn: I have 2 lots that have mobile homes on them... I was told they were 100 x 200 lots.. I have tried to calculate it on here but was not able to understand how to exactly do it. I would like to know if I have a 1/2 acreage or exactly what the 2 lots are? Answered by Penny Nom. 





Two price reductions and a coupon 
20150916 

From Suszanne: Mary purchased an item for 45% off the original price, plus an additional 20% off the sale price.She also had a $5 off coupon, which the salesclerk applied after these two discounts. Mary's final purchase price for the item was $50. She paid no sales tax, what was the original price of the item? Answered by Penny Nom. 





An increase in savings 
20150906 

From A student: A man spends 80% of his income. His income increases by 40% and his expenditure also increases by 25%. Find the percentage increase in his savings? Answered by Penny Nom. 





A tangent line to a circle 
20150903 

From Jamie: Use the Greek method to find an equation of the tangent line to the circle
x^2+y^24x+6y+4=0 at the points (3,2square root 23. Answered by Penny Nom. 





Average rate for a return trip 
20150314 

From Michael: Jeffrey drove to a town 25 miles away at an average speed of 50 miles per hour. The return trip along the same route took 20 minutes longer than the trip to town. Determine the average speed in miles per hour for Jeffrey's round trip. Answered by Penny Nom. 





Commission 
20150313 

From Rose: A shopkeeper receives 12.5% (12 1/2 %) commission on the sale of books from
the publisher. In a certain month,he receives a commission of rs.250 from the
publisher. How much was his sale for that particular month?? Answered by Penny Nom. 





The definition of percent ( % ) 
20150307 

From Kenneth: Hello:
I saw this definition online from the Free Dictionary (The Free Dictionary.com) regarding the definition of percent (%):
"Noun 1. a percent sign  a sign (`%') used to indicate that the number preceding it should be understood as a proportion multiplied by 100."
What is this "proportion" multiplied by 100?
When I think of a proportion, I think of a/b = c/d. How can a number preceding the percent sign be understood as a proportion X 100?
I thank you for your reply! Answered by Chris Fisher and Claude Tardif. 





The length of a ramp 
20150305 

From Jaylynn: Hi, I've been trying to figure out how long my ramp would have to be in order to reach a height of 3.5 feet at a 30 degree angle for a sugar glider enclosure? Answered by Penny Nom. 





A train from Vancouver to Whistler 
20150202 

From Tea: Serena and Nina are taking a train from Vancouver to Whistler, a 160km trip. If the average speed is decreased by 16km/hr, the trip will be 1/2 hours longer. What is the average speed of the train?
Thanks :) Answered by Penny Nom. 





Percentage change 
20150114 

From Jim: When using a scale e.g. 010, what is the formula for calculating percentage change. For example when someone answers a questionnaire where a question has a 010 scale, and they score a 4 first time, and then they answer the same questionnaire a different day, and they score an 8, how do I calculate the percentage change. Answered by Penny Nom. 





Rates, percentages and units 
20141230 

From Kenneth: Hello:
If percentages have no units, why are some percentages called rates, as in interest rate, or
perhaps a tax rate of 7% as an example? A rate has units of different quantities.
I thank you for your reply. Answered by Robert Dawson. 





30% profit 
20141205 

From Lyn: I would like to know a formula that I would use on a standard calculator to calculate a 30% profit margin on an item.
If I purchased an item at $7.70 how would I calculate 30% profit for me, not just 30% mark up? Answered by Penny Nom. 





An age related word problem 
20141118 

From Cole: Susan and Russell are brother and sister. Susan says that in two years she will be twice Russell's current age. Russell says that he's only three years younger than Susan. How old is each of the siblings? Answered by Penny Nom. 





Percentages in a mixture 
20141002 

From viola: Hi there
can you help me convert the below so it makes 100% (individual %)
400 gr =
100 gr =
50 gr =
50 gr =
20 gr =
2 gr =
1 gr =
1 gr =
Be great to hear back from you
Thank you
V Answered by Penny Nom. 





The average of 9 numbers is 45 
20140912 

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 
20140911 

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. 





Water usage in Ames 
20140829 

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. 





A price increase and a consumption decrease 
20140816 

From sujan: If the price of petrol increases by 25% and Rajesh intends to spend only 15% more on petrol then by how much % should he reduce the quantity of petrol he buys? Answered by Penny Nom. 





What percentage of 317 million is 1.2 million? 
20140813 

From Danielle: I would like to know what percentage of 317 million is 1.2 million. Answered by Tyler Wood. 





Ratios ond percents 
20140813 

From aswathi: if the ratio of cost price and selling price of an article is be as 10:11,the percentage of profit is Answered by Tyler Wood. 





What is the average of first 100 even numbers? 
20140802 

From Faizan: What is the average of first 100 even numbers? Answered by Chris Fisher. 





A word problem concerning averages 
20140726 

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. 





Buying shoes on sale 
20140630 

From Willa: So, I have this question from my summer packet: "Gwen buys 3 identical pairs of shoes at store a. She pays $110.25 after the discount what is the regular price of each pair? ( 40% off)" Answered by Penny Nom. 





Mary's height as a percentage of Michael's height 
20140511 

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. 





Percentage change 
20140509 

From hi: the hw club had 46 members in sept. in april, the
club had 24 members. what was the percent of change in the hw club's membership from sept. to apan increase or decrease in membership?
ril? what is Answered by Penny Nom. 





How fast did Jessica grow? 
20140410 

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. 





Percentage increase of the population of a town 
20140328 

From hunter: The population of a certain town in 1984 was 2900 people. The percent increase was 2.5% each year. What is the town's population in 2002? Answered by Penny Nom. 





Paycheck after deductions 
20140223 

From Louise: So I got a paycheck for 89.02 they took out in deductions 15.69.
I want to know the percentage they are taking out so that I can figure my take home pay each week before I get it. So I know what to expect for pay each week so I can budget my bills from now on a weekly basis. If I know the percentage than I can just figure out the percentage through how many hours in the week I worked and multiply my gross pay and know what my take home will be Answered by Penny Nom. 





Three investment partners sharing the profit 
20140222 

From Ayatullah: Hello;
We are three partners and bought a property at 2050000 and sold at 2300000.
Details of investment of the partners
X= 1500000
Y= 400000
Z = 150000
My questions are
1) How could i calculate percentage of investment of each partner?
2) How could i deduct 30% commission from each partner in profit?
3) How could i distribute the profit amongst the partners?
Thanks in advance Answered by Penny Nom. 





2.3% of $17.3 trillion 
20140221 

From C: What is the annual interest on $17.3 trillion at a rate of 2.3%. Thank you Answered by Penny Nom. 





A bizarre percentage problem 
20140129 

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 136145 Answered by Harley Weston. 





Profit as a percentage 
20140104 

From Dane: If i brought a card for £5 and sold it for £10 what is my profit percentage? 50% or 100% Answered by Penny Nom. 





4 children 
20131231 

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 sale price for a TV 
20131128 

From tom: a TV can be purchased for $278 normally is $328. what is the percent of the present cost of this TV will you be saving? Answered by Penny Nom. 





Solve for x 
20131012 

From Megan: X\2400. Times 100=40%. What is x?! Answered by Penny Nom. 





A question on markup 
20130908 

From ezile: if the gross profit for the previous year was R125000 and for the new year its R195000 the mark up achieved was 95%....whats the new mark up Answered by Penny Nom. 





1760 as a percentage of 5000 
20130905 

From ken: how do I express 1760 as a percentage of 5000 Answered by Penny Nom. 





What percent is 50 of 4.5 billion? 
20130808 

From Bobby: What percent is 50 from 4.5 billion? 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. 





GST and PST 
20130722 

From Bev: Total sales revenues are 116391.38 this amount includes 5% GST and 80% of this amount includes a 7% provincial tax. The other 20% is PST exempt. GST is included in all. How do I figure the PST I owe? Answered by Penny Nom. 





Percent and percentage point 
20130719 

From Kenneth: Hello:
Does 0.01 represent both one percentage point and one percent in decimal form?
What is, for example, 2/100 of one percentage point, and what is 2/100 of one percent?
Are the answers the same.
I thank you for your assistance. Answered by Penny Nom. 





How much does Sara get to take home 
20130605 

From Jessica: Sara gets paid $15.00 an hour. She worked 80 hours during the pay period. If 28% of what she earned is deducted for taxes, how much does Sara get to take home? Answered by Penny Nom. 





Percent change in sales 
20130604 

From Sui: Hi,
I would like to ask your favor for reviewing the following percent change in sales calculation, did I do it right? I am surprise/wondering with the big amount of the percentage result. Your assistance and guidance would be highly appreciate.
Sales for month of August 2000: 5,198,750 IDR
Sales for month of October 2000: 62,291,700 IDR
Difference = 62,291,700 IDR  5,198,750 IDR = 57,092,950 IDR
Percentage change = 57,092,950 IDR : 5,198,750 IDR = 10.98 X 100 = 1,098%
Sales for month of February 2008: 1,664,800 IDR
Sales for month of August 2008: 161,715,307 IDR
Difference = 161,715,307 IDR  1,664,800 IDR = 160,050,507 IDR
Percentage change = 160,050,507 : 1,664,800 = 96.14 X 100 = 9,614%
Thanking you,
Sui Answered by Penny Nom. 





A pump is operating at 70% 
20130603 

From Abdel: Hi I was wondering if you could help me out on a question I recently got on an aptitude test.
A pump operates at 70% if it is pumping out 4500 gallons then how much will it pump out at 85%? Answered by Penny Nom. 





How many acres does a 4.5 mi strip 52 inches wide make? 
20130521 

From Aaron: How many acres does a 4.5 mi strip 52 inches wide make? Answered by Lorraine Dame. 





The dimensions of my property 
20130521 

From Mr.: My property is 196 feet wide an I own 2 1/2 acres how many feet in depth is it Answered by Lorraine Dame. 





The square footage of a 17 inch by 17 inch tile 
20130518 

From Leroy: How do I calculate the square footage of a 17inch by 17 inch tile Answered by Penny Nom. 





Inverting fractions and percentage 
20130518 

From Carlos: If I calculate the percentage change between two fractions, say,
1/100 and 2/100, I get 100% change. Now, if I flip denominator
and numerator, 100/1 and 100/2, and repeat the calculation, I
get a 50% change. Why are the percentages different?
Thank you very much Answered by Penny Nom. 





The percentage of fat in a container of yogurt 
20130517 

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. 





Water use in a rectangular flush tank 
20130510 

From milo: A rectangular flush tank 22" by 71/4 contains water to depth of 17" how many gallons of water will be saved if a conservation device reduces the capacity to 3/5 of this amount? And reduced to the nearest tenth Answered by Penny Nom. 





Percent profit: State exam question 
20130312 

From tony: which is the correct way to figure 30% profit?
1)
1000 product
500 labor
50 permit
1550 total cost
1550x1.3=2015
2)
1000 product
500 labor
50 permit
1550 total cost
1.3=.7
1550/.7=2214 Answered by Harley Weston. 





state exam question 
20130312 

From tony: which is the correct way to figure 30% profit?
1)
1000 product
500 labor
50 permit
1550 total cost
1550x1.3=2015
2)
1000 product
500 labor
50 permit
1550 total cost
1.3=.7
1550/.7=2214 Answered by Harley Weston. 





Increasing and decreasing sales 
20130306 

From Meghan: Pace Design's sales increased by 30% in the first year, increased by 60% in the second year, decreased by 60% in the third year and increased by 90% in the fourth year. What was the cumulative change in sales over the 4 years? Answered by Penny Nom. 





What is the subtotal & GST? 
20130304 

From REBECCA: Hi, I have a total of $300.
What is the subtotal & GST?
How do I work backwards? Answered by Penny Nom. 





Markup and discount to get a sale price 
20130302 

From Warren:
If you are an ardent shopper you will be aware of the discount (% decrease) marketing strategy to produce the sale price. I began to wonder just how much markup (% increase) was added initially to an item in order to deliver the discounted sale price.
It was simple to construct a formula to convert one to the other.
For example a 30% (mark down) decrease in price required a 42.86% (mark up) to increase the price initially to Tag price. However when I started apply the formulae to a number of circumstances I noticed some very interesting circumstances associated with this relationship
For example a 99.999999% decrease is numerically equal to a 9,999,999,925% increase (huge ratio difference) while conversely a 0.1% decrease is numerically equal to a 0.10010010% increase (Infinitesimally small ratio difference) so the patterns appears logarithmic not linear.
However what really caught my attention was this pattern
See http://www.ozsmart.com/doc/percentage.htm
My questions is why does the decline in the ratio of increases in required mark up (%) price peak at 50 and 51% precisely and then expand again as the percentage move higher
Any explanation would be appreciated Answered by Harley Weston. 





Percent as a fractional relationship 
20130114 

From Kenneth: What does the following indicate?
"A percent is another way of expressing the ratio or fractional relationship
of two numbers."
I know what a ratio is, but the term "fractional relationship" confuses me.
I thank you for your reply. Answered by Penny Nom. 





How much should I price the earrings? 
20121113 

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. 





GST in New Zealand 
20121010 

From Colleen: I work out my claimable gst each month but need to know the total sales or purchases amounts for filling in my six monthly paper work. How do I do that. I tried doing the opposite of calculating the gst i.e. x3 and /23 but it is slightly different to my total. Answered by Penny Nom. 





What percent of her monthly take home pay are her monthly expenses? 
20120919 

From tina: a girls monthly take home pay is 1932.00. her monthly expenses total 1910.00. What percent of her monthly take home pay are her monthly expenses? Answered by Penny Nom. 





A profit of 35% 
20120907 

From Jack: If a product cost me $10.00 and I want a profit of 35% what is my sell price? How do I figure the sale price to make a 35% profit on the sale? Answered by Penny Nom. 





Adding speeds 
20120826 

From Roy: May I ask if it is correct to add the following with units included? Some tell me that the units cannot be included in the addition because we cannot add speed. Answered by Harley Weston. 





Changing a decimal or a number to a percent 
20120810 

From Kenneth: When a decimal or a number is changed to a percent, the decimal or number is multiplied by 100 and then a percent sign (%) is attached.
Why is it necessary to multiply by 100?
What is the reasoning or logic for using this calculation? Answered by Robert Dawson. 





A garden in the back yard 
20120804 

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 backyard 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. 





Percentage increase 
20120801 

From Jay: When calculating percentage growth, why is (yx)/x the same as
(y/x)1 ??? (I seem to be stuck on the simple algebra here)...
e.g. 2011, toy was £5, 2012, toy is £10. What is the percentage
increase? So, (105)/5 = 1 (i.e. 100% increase), AND, (10/5)1 = 1
(i.e. also 100% increase).
Thanks in advance. Answered by Penny Nom. 





What was the class average? 
20120420 

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. 





Percentage change 
20120419 

From Christine: For my intermediate macroeconomics class, there is a question about percent change.
The numbers are:
Quantities of oranges in 2010: 104
Quantities of oranges in 2009: 100
How would I calculate to find the percentage change in quantities? Answered by Penny Nom. 





A Performance Appraisal 
20120306 

From Reuel: Hello:
I'm looking for an answer to this one:
If I have 428 staff for Performance Appraisal the year 2011 my
suggestions for rating their rankings would be:
5% can be no. 1 which would mean 21 employees
15% can be no. 2 which would mean 64 employees
60% can be no. 3 which would mean 257 employees
15% can be no. 4 which would mean 64 employees
5% can be no. 5 which would mean 21 employees
However, what I have received is this:
5% are no. 1 which would mean 20 employees
22 % are no. 2 which would mean 94 employees
60% are no. 3 which would mean 270 employees
15% are no. 4 which would mean 41 employees
5% are no. 5 which would mean 3 employees
Now my question is how do I find the percentage difference between both
the scenarios of should be versus reality? I don't think it is normal subtraction, is it? any help would be appreciated.
Best Regards,
Reuel Answered by Harley Weston. 





[Difference between percentages and percentages] 
20120306 

From Reuel: Hello:
I'm looking for an answer to this one:
If I have 428 staff for Performance Appraisal the year 2011 my
suggestions for rating their rankings would be:
5% can be no. 1 which would mean 21 employees
15% can be no. 2 which would mean 64 employees
60% can be no. 3 which would mean 257 employees
15% can be no. 4 which would mean 64 employees
5% can be no. 5 which would mean 21 employees
However, what I have received is this:
5% are no. 1 which would mean 20 employees
22 % are no. 2 which would mean 94 employees
60% are no. 3 which would mean 270 employees
15% are no. 4 which would mean 41 employees
5% are no. 5 which would mean 3 employees
Now my question is how do I find the percentage difference between both
the scenarios of should be versus reality? I don't think it is normal subtraction, is it? any help would be appreciated.
Best Regards,
Reuel Answered by Harley Weston. 





Tina is older than Catherine by 1 year and 7 months 
20120303 

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. 





Percentage of water in a soil sample 
20120301 

From avi: what i need is the formula in getting the percentage from gram.
situation:
i need to know how many percent will i declare in getting the moisture of a soil sample
i weighed 2,000 grams of soil before i dried it out in the oven, after few hours the recovery
of the dried out soil is 1,700 grams. How many percent will be the water content?
kindly send me a formula in computing this.
thank u very much! Answered by Penny Nom. 





38/50 as a percent 
20120206 

From 2: 38/50 in a percent Answered by Penny Nom. 





Ten percentage of 24 hours 
20120123 

From robin: Hai.. Myself Robin.. May i know the ten percentage of 24 hours? Pls help me.. Thank you. Answered by Penny Nom. 





75% of 12.5 
20120105 

From Jennifer: 75% of 12.5
Please explain how you got your answer cause I don't understand how to do this Answered by Penny Nom. 





A 46% increase 
20120103 

From kabilan: increase a price of £8.24 by 46% and give the answer to the nearest penny Answered by Robert Dawson. 





Mean and Average 
20120103 

From john: what is the difference between average and mean Answered by Robert Dawson. 





The average age of 300 cars 
20111122 

From Jason: I have 300 used cars built from 1970 to 1980, I would like to know the average
age by total volume. If I provide the qty built per year, can I determine the average age of the lot (300) by total volume?
Total built 
50 
56 
30 
10 
30 
25 
64 
9 
12 
14 
Year built 
1971 
1972 
1973 
1974 
1975 
1976 
1977 
1978 
1979 
1980 
Thanks Answered by Penny Nom. 





The acreage covered by a berm 
20111121 

From Katherine: I need to know how to figure the acreage a berm might cover. Berm size is 815 ft. long with a 5' height average at a 3:1 slope It will have a 4 ft. top.
Also how do you figure how wide a base would be for a berm at a 3:1 slope? I am thinking for every 3 ft horizontal I need to go 1 foot vertical starting from the center out. Is this only half the berm and need to mirror it for the other side to get a total base width? Answered by Penny Nom. 





The average speed for the whole journey 
20111030 

From Shahzad: a train travels 68 Km at an average speed of 51Km/h. It then travels another 20Km at an average speed of 40Km/h before reaching its destination. Calculate the average speed for the whole journey? Answered by Penny Nom. 





A 6% commission 
20111015 

From Tamara: if you earned a gross wage of $810, which includes a salary of $90 and a 6% commission how much is the net sales? Answered by Penny Nom. 





Eight percent 
20110922 

From Michelle: Hello. I need help with a math problem please. I have not done this in so long.
This is a 40% margin
360X8%= Answered by Penny Nom. 





Draping a room with fabric 
20110519 

From Maria: I need to drape an entire room with fabric. The width of the fabric is 120 inches.
How many yards of fabric do I need if the room is 4000 sq ft. (50 x 80 ft) and the ceiling is 12 ft. high. Answered by Penny Nom. 





A pipe in a ditch 
20110519 

From Jim: How many cubic feet of stone will it take to fill to six inches around a 4 inch pipe in a ditch 128 ft long x 20 in wide? Answered by Penny Nom. 





3% commission 
20110401 

From bertha: A real estate broker’s base annual salary is $18,000. She earns 3% commission on
total sales. How much must she sell in real estate value during the year to earn
$65,000? Set up an equation and solve. Show all work to receive full credit. Round
final answer to the nearest dollar. Answered by Penny Nom. 





Find his income on the fourth week of August. 
20110322 

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. 





A 15% increase 
20110322 

From Abeth: Bobby dela Cruz is the purchasing agent for school supplies of a certain university. Because of new research projects, Bobby ordered an additional 32,500 worth of supplies this month. This is a 15% increase from last month. What was the value of the school supplies that Bobby ordered last month? Answered by Robert Dawson. 





Average speed 
20110307 

From West: Calculate the distance (in km) that Larry runs if he maintains an average speed of 8km/hr for 45 minutes Answered by Penny Nom. 





6685 is 67.5% of the total number 
20110222 

From Donna: I know 6685 is 67.5%. How do I calculate the total number. Answered by Penny Nom. 





Profit as a percentage 
20110117 

From Connie: I am trying to determine the profit margin on selected items.
ex: A bottle of juice costs me $.70, I sell it at $3.75. How can I determine what my profit percentage is? Answered by Penny Nom. 





Profit as a percent 
20101219 

From gaurav: In the following, which calculation is right to calculate the profit percent.
if profit is 20% 100*1.2 = 120
if profit is 20% 100/0.8 = 125? Answered by Penny Nom. 





The percentday method 
20101204 

From Kenneth: I read about this method in an old business mathematics book and was curious about how it works to produce the correct answer.
“Percentday method is based on 360 days’ time and 1% interest. Any interest rate multiplied by any number of days is equal to so many %days.”
Example: 82 days at 5% equals 410%days. Answered by Penny Nom. 





A 35% profit 
20101119 

From Ana: You have a stamp collection and make a 35% profit by selling it on EBay for $2700. Find the original cost of the collection by using the formula:New value × 100 / 100 + percent change = Original value Answered by Stephen La Rocque. 





I want to make a 50% profit 
20101029 

From Debbie: If my cost on an item is $32.00 and I want to make a 50% profit What would the retail be? Answered by Penny Nom. 





Area on a dart board 
20101011 

From Robert: A dart board consists of concentric circles and line segment. the radius of the bull's eye is 4 inches and each ring surrounding the bull's eye is 3 inches wide.
a) what is the area of the bull's eye
b) what percent is the bull's eye.
hint there are 4 rings and the bull's eye is divided into 4 (90) degree angles (meaning 1/2 up and down) (1/2 left to right. Answered by Stephen La Rocque. 





An investment of 500$ 
20100927 

From georgia: if you invest 500$ at a 7% annum and the balance at a 10% annum and your interest earned is 44$ annum how much was invested in the 7% and how much in the 10%. Answered by Penny Nom. 





Percentage of Revenue Generated 
20100922 

From Jeri: Hi! I am trying to fill out the government form for obtaining a business license and this is all new to me...it wants to know the estimated percentage of revenue that my product generates. An easy formula to figure this out would be greatly appreciated! Answered by Stephen La Rocque. 





The new diameter is 50 per cent larger than the original. 
20100904 

From mahwish: . A circular logo is enlarged to fit the lid of a jar. The new diameter is 50 per cent larger than the original. By what percentage has the area of the logo increased? Answered by Tyler Wood. 





Percentage improvement 
20100826 

From shahrukh: Hi...
We had a web page that was taking 12 secs to load. Now it loads in 3 secs.
What is the percentage of improvement or how much faster is it working now.
TO me it looks like it is working 3 times faster or there is a 300% improvement in the loading time.
However my client says its ((123)/12*)100 = 75% improved. Which seems illogical on the face of it.
Thanks for your help
Shahrukh Answered by Robert Dawson and Chris Fisher. 





$1579 is 20% of what number? 
20100722 

From Luis: Question: $1579 is 20% of what number? Answered by Robert Dawson. 





The tonnage of some gravel 
20100722 

From Gregory: i have a road that is 8 miles long 20 feet wide and 4 inches deep what is the tonnage for gravel i would need Answered by Penny Nom. 





Selling price, cost and profit 
20100622 

From Alex: The profit on a certain television set is 16.5% of the cost price. If the profit is $330,
Find:
a) the cost price
b)the selling price of the television Answered by Penny Nom. 





A loan 
20100616 

From melody: LOAN: 1000
TERM: 2 years
INTEREST: 2% (per month)
AMOUNT: ???
what is he formula of solving this and what is the answer.. Answered by Robert Dawson. 





What is 13% of $5.99? 
20100615 

From Paige: What is 13% of $5.99 ? Answered by Penny Nom. 





Comparing percentages 
20100614 

From Anouska: In category A, Annie gave 5 out of 6 responses. I make this 83%
I the same category, Adam gave 4 out of 10 responses. I make this 40%
Does this mean that Annie gave 43% more responses in this category than Adam? Answered by Robert Dawson. 





A comparative report 
20100527 

From jo:
Question from jo:
I have a comparative report and I was confused about how to get the percentage of the current 1st quarter vs. last year 1st quarter, vs. last year of the same month. I hope you could help me, thank you.
Example: Food sales: 3Day Sale Event
TY: 1,352,293.58 May (Back to School)
LY: 1,205,614.31 April (Summer Sale)
LY: 1,065,693.40 May 2009 Answered by Penny Nom. 





Percentage of Group B's score 
20100522 

From Carolyn: If the CONTROL Scorer A scored 5 minutes of Stage 1 sleep, and the compare Scorer B scored 7 minutes of Stage 1 sleep out of the same sample, what is the % similar/same is Scorer B to the Control Scorer A? Answered by Tyler Wood. 





Percentage increase 
20100520 

From Rebecca: Question from Rebecca:
In 2008 my land was valued at $84,000. In 2009 my land was revalued at $235,000.00. What is the
percent increase between the two values? I want to be able to express "the
value was increased by x%." Answered by Harley Weston. 





One in twenty as a percentage 
20100427 

From jim: Please advise how I work out a gradient of say 120 one in twenty as a percentage % Answered by Penny Nom. 





Commission 
20100424 

From TAHIR: I want to predetermine the amount of commission on sale of my product which will be the amount that I shall have to pay .
For example, the price is $ 600and commission 5% .
1) I calculate commission on 600 @ 5% = $ 30
When added $ 600 the retail price = $ 630
2) But on $ 630, 5% commission = $ 31.50
So we make a loss of $ 1.50 .
3) Again if we add this $ 1.50 to $ 630 the price = 631.50
But the commission when calculated does not tally
and we make a loss of $ 0.075.
Please let me know how to determine the commission beforehand so that it matches our accounts. Answered by Penny Nom. 





Profit 
20100421 

From joyann: a Raleigh road runner 16" unisex bike which cost $892 was sold for $1052.56 calculate
A. the profit made on the bike
B. the percentage profit Answered by Penny Nom. 





Splitting the mortgage payment 
20100409 

From Jodi: What percentage of $2,500.00 (monthly mortgage payment)would I pay per month  if I make $2,200.00 per month and my partner makes $6000.00 per month?
Thank you. Answered by Tyler Wood. 





Total tax 
20100331 

From Keli: if the gst in Ontario is 5% and the pst is 8% the total tax would be 13%. How come the total tax is 1.13? Shouldn't it be 0.13? Answered by Robert Dawson and Tyler Wood. 





A 25% discount 
20100329 

From Susan: If something costs 1.00/per lb. and that price includes a 25% discount. How do you calculate what the price was before the discount? Answered by Penny Nom. 





I want to add 4.3% 
20100310 

From Brandy: I am trying to find out a total. I have 7,118.00 and I want to add 4.3% to that total. How do I do that. Answered by Penny Nom. 





How many people in total came to the museum that day? 
20100305 

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. 





An octagon garbage storage bin 
20100302 

From sharon: I am trying to make a octagon garbage storage bin and i need to know the measurement of the outer and iner sides i can't get them to fit together what am i doing wrong Answered by Penny Nom. 





15% profit 
20100221 

From daviann: calculate the cost price,given
selling price=$304
percentage profit=15%
what is the answer? Answered by Penny Nom. 





23 correct out of 28 as a percentage 
20100205 

From Renay: What is the correct way to figure a percentage like 23 correct out of 28? Answered by Penny Nom. 





A decrease in travel time 
20100130 

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. 





A 20% markup 
20100122 

From barbara: i ran across the same question using 10%, my question is this, I have $751,400, which has been marked up 20%. I want
to know the original amount prior to mark up.... can you give me the formula.? Answered by Penny Nom. 





The average over two semesters 
20100120 

From edy: 6 courses have an average of 100 in the first semester
5courses have an average of 90 in the second semester
what is the average of the two semester , method of calculation , how come to have 95.4545 Answered by Penny Nom. 





What percentage am I reducing it by? 
20100113 

From Lynda: I need to calculate the percentage of a total number.
If my total is 2.9 million and I take out 187,000 what percentage am I reduing it by? Answered by Penny Nom. 





Percentage increase from a negative to a positive 
20100112 

From Greg: If a company had a net lost in 2005 of $11,234 and net income of $3231 in 2006, what is the percentage annual growth in income between the two years? Answered by Robert Dawson. 





How many 4x4 tiles would I need for 10 sq ft? 
20100104 

From Chris: how many 4x4 tiles would I need for 10 sq ft Answered by Robert Dawson. 





Percentage reduction 
20091215 

From John: Please explain how I should calculate the percentage of £676 billion reduced to £498billion Answered by Harley Weston. 





Deducting 10% from £100 
20091117 

From Steve: What is the correct way of deducting 10% from £100?
Would it be £100 multiplied by 0.1 and then deduct to leave you £90; or
Would it be £100 divided by 1.1 to give you £90.91? Answered by Penny Nom. 





A markup and a discount 
20091115 

From joe: I have a product that cost $ 300.00 I want a 25% markup and give a 15% discount
but keep 25% markup.
300 + 25% = 375
300 + 40% = 420
420  15% = 357
what am i doing wrong???? Answered by Harley Weston. 





Find the original price 
20091106 

From Cyndy: Find the original price of a pair of shoes if the sale price is $98.00 after a 30% discount. Answered by Penny Nom. 





Jill and Bill 
20091104 

From Lisa: Jill and Bill are two members of the Hill family. Jill is 8 years old and Bill is 9 years old. What will Bill's age be when the total of the digits in both their ages is once again 17? Answered by Stephen La Rocque. 





Commodity price increase 
20091104 

From bharat: if price of a commodity increases by x% the to keep the expenditure same
the decrease in consumption should be (x/(x+100))*100, why? Answered by Penny Nom. 





Acreage calculation 
20091029 

From Angela: I am appraising a small portion of property for a right of way for a new sewer line. I have appraised many similar
projects in the past; however the engineer always calculated the exact acreage and/or dimensions of the parcel
being taken. My survey states the following: "141 linear ft. of 25' permanent R/W. I divided the linear feet x 12 and mult. by 25
to get the square footage, but it just doesn't seem right. Any suggestions? Am I missing something? Answered by Robert Dawson. 





The volume of a garbage bag 
20090928 

From Steve: I have often wondered how a garbage bags is determined in gallons 
many different manufactures of these type bags often have different sizes
stating they are a (for example) a 55 gallon bag 
also I see some that show a range (2030 gallon)
yet is a specific size (16 x 14 x39 or a 30 x 36)
I have searched and search but have been unable to find a formula Answered by Robert Dawson. 





Sandra's age 
20090924 

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. 





Grams to percent 
20090920 

From brandy: how do you convert 1.5 grams to a percent Answered by Stephen La Rocque. 





Average speed 
20090911 

From john: Sally travels by car from one city to another. She drives for 20.0 min at 68.0 km/h, 40.0 min at 37.0 km/h, and 51.0 min at 77.0 km/h, and she spends 12.0 min eating lunch and buying gas.
What is the average speed for the trip? Answered by Penny Nom. 





A 30% markup 
20090902 

From Lisa: Ok i want to mark a products up 30%, I would take 5.00X3o%,but my boss does it another way I have yet to figure out he takes cost divided by 70% or something like that I am so lost can you help? PLEASE Answered by Victoria West and Penny Nom. 





Percentage price change 
20090827 

From alicia: what is the percentage price change between R66R10 if the answer between the two is R56 Answered by Penny Nom. 





Average speed 
20090820 

From Christina: We ran 3.4 miles in 40 minutes. What was our average speed? Answered by Leeanne Boehm. 





Susan's RRSP 
20090805 

From Polly: Susan contributed $500 every 6 months for 14 years into a RRSP earning interest @ 7.5% compounded semiannually. Seven years after the last contribution Susan converted the RRSP into a RRIF which is to pay her equal 1/4 payments for 16 years. If the first payment is due 3 months after the conversion into the RRIF and the interest on the RRIF is 9% compounded 1/4, how much will Susan receive every 3 months? Answered by Stephen La Rocque. 





Percentage decrease 
20090804 

From Bill: How to calculate the Percentage Increase or Decrease of a $ value.
Example 
Site Spend for 01012008 thru 073108 was $ 3,465,660
Site Spend, 2009 YTD as of 073109, was $ 1,673,405
Site Spend down what % between these two amounts ? Answered by Penny Nom. 





A degreaser for a fish tank 
20090723 

From charlie: I have a tank that is 10 feet in diameter that I want to put floating degreaser in.The rate for the degreaser is 1/2 gallon per square foot of surface water.How do I figure out how many gallons I need? Answered by Penny Nom. 





Profit as a percentage 
20090715 

From Jay: If I buy an item for $3.00 and sell it for $6.00. What is my percentage of profit? Answered by Penny Nom. 





The retail price for an ice cream scoop 
20090705 

From Patricia: Hi  I am trying to figure out the fairest retail price for an ice cream scoop. We have an ice cream parlor
and the cost of the ice cream we buy by the bulk container has recently been increased so now we must charge
more for our scoops. We pay a wholesale price of $25.40 for 242 ounces of ice cream. The cost per ounce is
$0.105. What is the formula for figuring out how much to charge retail per scoop? This is probably so simple
but confusing to me. Please help. Thank you! Answered by Harley Weston. 





17.5% of 500 
20090705 

From b: what is 17.5% of 500 Answered by Harley Weston. 





Descending Percentages 
20090702 

From Chris: Hi
I'm having a problem working out the percentage target achievement, when i'm
calculating a descending indicator. For example, if you take something like
the number of contracts cancelled. You might give your retentions team the task
to make sure that no more than 2 customers cancel a contract wihin a particular
month. If exactly 2 customers cancel their contract, that should represent 100%
achievement of the target, but i'm really struggling to work out what that percentage
would be if 1 or 3 customers cancelled.
Chris Answered by Janice Cotcher. 





Averaging percentages 
20090614 

From Alan: Can you add percentages and then divide them by the number of percentages to get the average percentage.
I.E day 1 100% day 2 100% day 3 95% average= 98.3%
is the above possible or is it not done, I have a dispute with a work colleague over this.
many thanks Answered by Harley Weston. 





How much more volume is needed to reach a certain % 
20090529 

From Chris: I am trying to figure out how much more volume is needed to reach a certain %. For example if I sell 15,182 of unit X out of 43,241 total units. Then I know that unit X is 35.1% of units sold. However, I need to get unit X to be 46.3% of total units sold. I need to figure how many more units of X I need to sell to reach this %. Of course if I sell more units of X then this increases the denominator. Can you please help? Thank you for your time. Answered by Penny Nom. 





Profit margin 
20090526 

From andreya: what is the profit margin of a business that spends $200 in order to make $1000 Answered by Penny Nom. 





Driving to school and back 
20090517 

From marylyne: suppose you are late for school and you drive from your house at a constant rate of 70 mph.when class is over, you drive home at a more leisurely 50mph. what is your average speed? Answered by Penny Nom. 





A car loan 
20090506 

From Cindy: A person takes out a car loan in the amount of $11,170.00 @ 4.5% interest. The person makes 17 payments of $500.00, then for the 18th payment (this person 'finds' some $) and pays off the whole thing. How much was their last (18th) payment? How much overall did they pay in principle? and interest?
The person who made the initial loan then takes $11,156.25 and places it into a High Interest Savings Account @ 2.25% annually on Nov 18, 2003. How much is now in the High Interest Savings Account if no futher funds have been added to the account and no withdrawls have been made?
Thanks for your help with this. I have been trying on and off for 3 years to figure this out.
C Answered by Robert Dawson. 





Mean 
20090502 

From debra: a hot dog sales per week monday, 100 = tuesday,87 = wednesday, 95 = thursday, 125 = friday, 210 = saturday, 250 = sunday, 57 = what is the mean sales per day? Answered by Penny Nom. 





12% of 4 trillion 
20090425 

From ROBERT: WHAT IS 12% OF FOUR TRILLION Answered by Penny Nom. 





Percent increase from a negative number to a positive number 
20090421 

From Brian: I have no problem calculating year over year net profits but am having trouble when it comes to a negative.
2007 Net Profit = 110,333.00
2008 Net Profit = 66,054.00
Brian Answered by Harley Weston. 





Interest rate over two periods 
20090412 

From Kenneth: Hello:
How is the average determined for the following amount if it earns
compound interest?
Here are my calculations, but I'm not certain that they are correct:
Initial amount invested $500.00:
$500.00 @ 5% = $525.00.
$525.00 @ 2% = $514.50.
$14.50/$500.00 = 2.9% divided by 2 equals an average of 1.45%.
If this average, 1.45%, is correct, how can I use 5% and 2% to
determine the same average?
Is it possible?
I thank you for your reply. Answered by Penny Nom. 





Actual Food Cost is 3% or more above Projected Food Cost 
20090407 

From Kam: Your store guidelines states that when Actual Food Cost is 3% or more above Projected Food Cost, immediate corrective action be taken by the Unit Manager. In January, your Actual Food Cost was $11,000, and your Projected Food Cost was $10,850. To find out what percentage the difference is do I divide the difference ($150) by Actual Food Cost ($11,000) or Projected Food Cost ($10,8500)? What would be the answer? Thanks Answered by Harley Weston. 





Payroll deductions 
20090329 

From Jim: I want to set up a spread sheet where i can enter my hourly pay or gross income,
and calculate my tax deductions. I have my old pay stubs but I am stuck when I
take the amount of the deduction and try to figure out the % used to calculate the amount
for example gross pay $1359, EI= $64, Fed Tax=$129, Prov tax = $35
these numbers I have provided are random but I think you can get the idea Answered by Penny Nom. 





A trip at two different speeds 
20090328 

From A student: Good afternoon!
An automobile travels 4 hours at an average speed of 42MPH. How much
longer must the truck travel at an average speed of 55MPH so the
average speed for the total trip will be 50MPH?
Thank you for your assistance! Answered by Penny Nom. 





Profit as a percent 
20090326 

From Danny: If I have something that cost me .38 and I want to sell it for $1.00 what is my profit % on this item Answered by Robert Dawson. 





How do I calculate to find what 100% is? 
20090321 

From Kathy: If $13.50 is 32% of a number, how do I calculate to find what 100% is? Answered by Stephen La Rocque. 





Find the retail price 
20090318 

From Allie: If you have food that costs $0.75 per portion and your food cost is 16.5% how would you find the retail price? Answered by Penny Nom. 





0.0007 as a percent 
20090318 

From Shelly: I need to know how to divide 0007 by 100 and soon! and I have no idea how I can get 100 to go into a number like that! here's the question this problem originated from:
change the decimal into a percent:
0.0007 _________
How do I change THAT number into a percent?
How do I change 12.455 and 92.348 and 29.005 into percents as well? I know how to change numbers like 0.6 and 0.70 into percents but not the numbers I told you I'm having problems with. Please someone explain this to me and also please focus mainly on the first number I asked about but don't forget the others please. Please reply ASAP I need to know this in about a week or less! Answered by Penny Nom. 





What percentage is £2,407.33 of £9,352.41? 
20090316 

From Joanne: Could you show me how to work out what percentage £2,407.33 is of
£9,352.41 in very basic terms.
Thank you very much
Joanne Answered by Penny Nom. 





What percent commission does Aaron earn? 
20090309 

From Jerry: Aaron works part time as a salesperson for an electronics store. He earns $4.75 per hour plus a percent commission on all of his sales. Last week Aaron worked 20 hours and earned a gross income of $143.75. If his total sales for the week were $1,500, what percent commission does Aaron earn? Answered by Penny Nom. 





A property that decreases in value every year by 10 percent 
20090307 

From PEter: there is a competition problem where a cottage is worth 25000 years, but it decreases in value every year by 10 percent. Without a calculator, is there a way to find after how many years, the cottage will be worth 2500? (besides multiplying it out and besides logs) Answered by Stephen La Rocque. 





A taxi charges .20 every 1/9th of a mile 
20090303 

From ronald: i need to know if a taxi charges .20 every 1/9th of a mile and i have to go 6.55miles how much would that be? Answered by Robert Dawson. 





More on the gst 
20090223 

From melissa: I need to know the amount of gst that was in the amount of 630.67? How do you figure this out? I don't need the amount of gst after, but the gst included? Answered by Penny Nom. 





Percentage difference in pipe volumes 
20090222 

From mike: what is the % difference between a 3 inch diameter pipe compared to a 4 inch diameter pipe? and how do i find the answer? Answered by Penny Nom. 





Averaging percentages 
20090221 

From Chris: Ok I'll give you a simple example of what I'm doing. Lets say that on one forum, a memebr has made 52 posts out of the 412 posts made altogether. Then on another forum, the same person has made 10 posts out of the 60 posts altogether. What percentage of the posts has this person made in these 2 fourms combined. Answered by Robert Dawson and Harley Weston. 





A dinner party 
20090218 

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. 





Rent and a commission 
20090217 

From cliff: a landlord receives $95.00 rent 5% commission was paid to get to $95.00 what was the original number. The answer is obvious but what is the formula. Thanks. Cliff Answered by Penny Nom. 





Can you convert numbers with units to percents? 
20090212 

From Kenneth: To change a number to a percent, move the decimal two places to the right and add a percent sign.
For example, 0.35875 = 35.875%.
If the number has a dollar sign or some other kind of unit, for example, pounds, feet, etc. how is the number converted to a percentage.
For example, change $0.35875 and 0.75 lbs. to a percentage. How is this done. I have never seen $35.875% or 75 lbs.% before. Answered by Robert Dawson and Harley Weston. 





What percent is 314.70 of 693.20? 
20090211 

From steph: what percent is 314.70 of 693.20 Answered by Penny Nom. 





The page numbers in a book 
20090210 

From Nichole: It takes 852 digits to number the pages of a book consecutively. How many pages are there? Answered by Penny Nom. 





A goat in a square paddock 
20090210 

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. 





How much did the statue originally cost him? 
20090206 

From Debra: Jim is able to sell a handcarved statue for $670 which was a 35% profit over his cost. How much ded he statue originally cost him? Answered by Penny Nom. 





A company fish fry 
20090204 

From shaelisa: At a company fish fry, ½ in attendance are employees. Employees’ spouses are 1/3 of the attendance. What is the percentage of the people in attendance who are not employees or employee spouses? Answered by Robert Dawson. 





Randy' age and Mandy's age 
20090203 

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. 





Calculating markup 
20090203 

From Tonya: I'm trying to figure out the formula for the following, I have a product that I want to receive a certain profit, but with this product I also have to pay a percentage of commission to someone. I need to know how to calculate my new selling price taking into account the markup percentage, but I don't want my cut to be lowered. I have calculated the markup percentage to get my new selling price with the commission, but it lowers my cut once I pay the commission and I don't want it to do that. Thanks Answered by Penny Nom. 





What do I need to pass the course? 
20090202 

From Lynnette: If I received 100% on my assignment which is worth 20% of my total mark and 87% on my midterm which is worth 40% of my total mark what would I need to get on the final exam which is worth 40% of my mark. To pass the course I must have 80% or above. Thanks. Answered by Penny Nom. 





4 times as many or 4 times more? 
20090202 

From Jackie: Given : Here are 3 squares and 4 sets of 3 circles.
I wonder it is right to write in the below manner to represent the following Conclusion that
can be made from the above given information:
 There are 4 times as many circles as there are squares,
 There are 4 times fewer square than circles;
 There are 4 times more circles than squares.
 ...
Jackie Answered by Robert Dawson. 





Whitney's average test score was 79 
20090130 

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. 





Calculate the GST paid from the total 
20090122 

From Claude: I need to know the GST I paid for irems bought. What is the simple formula to calculate the GST paid from the total. Some merchants do not clearly indicate the amount of GST on their sale receipt. Answered by Harley Weston. 





PST and GST 
20090120 

From janet: Hello
I need to figure what one would pay pst 8% gst 5% on a total of $1700.00
I have a small business some pay with cash I need to calculate the taxes in reverse Can you help with formula that the government might like
Thank you
Janet Answered by Harley Weston. 





Square footage 
20090120 

From david: 15 3 5/8 x 18 7" Answered by Penny Nom. 





Percentage increase 
20090119 

From Destiny: In 1990 there were 25 springs in the park. This year there are 35 springs
in the park. What is the percent increase? Answered by Penny. 





Two methods of payment 
20090113 

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. 





A 10% salt solution 
20090112 

From Joanna: How many liters of water must evaporate from 40 liters of a 10% salt solution to make a 25% salt solution? Answered by Robert Dawson and Penny Nom. 





Average and total 
20090110 

From cecil: the average of six number is 84. what is the total Answered by Stephen La Rocque and Penny Nom. 





30% profit 
20090106 

From bob: this is a basic question that I just can't get thru my head.
I know all my cost for a product, if I want to sell at a given profit can I divide by a given
number, example for 30 % divide by .7 or do I multiply?
Is there a simple answer for this? Sure would make my work a lot easier.
Thank you for your time
Puzzled in Ohio Answered by Penny Nom. 





Annual percent growth 
20081213 

From Joe: If WallMart had sales of $58,200,000,000 in the year 2002 and $90,800,000,000 in the year 2006.
1. Find what percent that increase is of the 2002 sales? I came up with (9.08*10^10  5.82*10^10) / 5.82*10^10 * 100 = 56.01% increase. Is this correct?
2. What was the percent GROWTH in WalMart's sales from 20022006? I am having trouble figuring out how to do the Growth problem. I would appreciate any help. Answered by Harley Weston. 





Solution Concentration 
20081206 

From Manjola: I mixed 100 ml of 28% Ammonium nitrate, with 100 mL of 68% nitric acid. What is the concentration of the resulting solution?
Thank you Answered by Janice Cotcher. 





A markup of 30% 
20081206 

From Tammy: How can a markup of 30% be calculated by using 1.43 times the original cost? Where does the 1.43 come from? For example: the original cost is 830.00 the markup is 30 %. The selling cost is 1186.90. My boss uses 1.43 to figure the mark up for 30% and 1.23 for 25% and 1.1 for 10%. What I want to know is how do they come up with these figures? Answered by Stephen La Rocque. 





What is the pre GST price? 
20081205 

From Chris: I've been looking at a few answers to the question of before and after GST price calculation.
the suggestion have been :: multiply the pre GST price by 1.10 to get the
price and reverse to get a pre GST price.
But how do you calculate the pre GST price from an existing retail price?
For example if you take an item that is $150.00 and multiply it by 0.10
you get $15.00 as the GST add on. Apparently giving you $135.00 as the
pre GST price. However if you then multiply $135.00 by 1.10 you get the
$148.50 as the total.
So the question is how does one calculate the real pre GST price from
an existing retail price?
Regards,
Chris Answered by Penny. 





40lbs is what % of 75lbs? 
20081129 

From Kieara: 40lbs is what % of 75lbs? Answered by Penny. 





A weighted average 
20081127 

From Kenneth: I am interested in determining the answers to the following question by using some type of weighted average:
An investor has $30,000 to invest at simple interest in two accounts. One account earns 2% and the second earns 5%. How much must he invest in each account if his total return is 4% or $1,200? Answered by Penny. 





What % of his salary does he save? 
20081124 

From Tarique: John earns 15000 every month. He spends Rs. 8900 .What % of his salary does he save? Answered by Penny Nom. 





Profit as a percentage 
20081121 

From Nomar: Cost Price is $ 556,109.64 and Selling price is $ 1,020,936.00, What is the Profit Percentage? Answered by Harley Weston. 





The range of a set of numbers 
20081119 

From krista: hi, i was working on a math problem for homework and it asked me to
find the range out of these numbers:
1,15,16,16,19,25,27,28,28, can you help me? Answered by Penny Nom. 





The volume is decreased by 25% 
20081117 

From Wanda: If the volume of a sphere is decreased by 25%, what is the new equation? Answered by Penny Nom. 





A group of people 
20081115 

From Michael: In a group of people,
if 20% of the people are 1834 years of age, and 30% of the people
are 2554 years of age.
What are the percentages of people 1824,2534,3554 and other?
Thank you  Mike Answered by Chris Fisher. 





An odd shaped lot 
20081113 

From Janice: Hi I am attaching a survey of an odd shaped real estate lot. I am hoping
you can help me determine the acreage.
Janice Answered by Harley Weston. 





20% of 8 million 
20081031 

From joe: what is 20% of 8million Answered by Penny Nom. 





Markup 
20081021 

From lisa: A television cost Best Buy 400.00. They want to sell it at a price of 1500.00. What would the percent markup have to be for this to happen. Answered by Penny Nom. 





I borrowed 2000.00 at a rate of 7% for 1 year 
20081020 

From carolita: if i borrowed 2000.00 at a rate of 7% for 1 year what would be the interest Answered by Penny Nom. 





A football field covered in garbage 
20081017 

From AMie: a small city produces 500,000 cubic ft of garbage per week. If all of this garbage were stacked neatly (in a nice vertical pile) on a 100yard by 60yard football field, how high would the pile be (in feet)? Answered by Penny Nom. 





100,000 + 20% 
20081016 

From Andrew: I have a question what 100000 + 20% = Answered by Penny Nom. 





What percentage is 33333 of 22222? 
20081016 

From b: How do I find the percentage of 2 numbers?
What percentage is 33333 of 22222? How do I find the answer. Answered by Penny Nom. 





Percentage of an hour 
20081015 

From JESSICA: HI I AM IN GRADE 7 AND FOR MATH HOMEWORK MY TEACHER ASKED US
TO MAKE 8 DIFFERENT TIMES(clocks) AND TELL HIM WHAT THE PERCENTAGE
FOR THE TIME IS.
BUT I DON'T KNOW HOW TO CONVERT TIME TO A PERCENT.
PLEASE HELP ME??!!??
JESSICA
SEVENTH GRADE Answered by Penny Nom. 





A 10% increase in supply 
20081010 

From Irena: How do you find begining inventory if after 10% increase in supply you got 27.5 units Answered by Penny Nom. 





A double discount 
20081006 

From Joanna: An instrument store gives a 10% discount to all students off the original cost of an instrument. During a back to school sale an additional 15% is taken off the discounted price. Julie, a student at the local high school, purchases a flute for $306. How much did it originally cost? Answered by Penny Nom. 





A different approach to a word problem 
20081003 

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. 





Cost before and after the GST 
20081001 

From bruce: Hi, i seem confused on this topic:
If i need to add say 10% GST to a cost then i would times it by 1.1.
If i need to reduce the cost by 10% then i need to divide it by 1.1. that is all well and good.
What if i need to add 12%, 18% or 20% what is the formula then? Answered by Penny Nom. 





Increase pricing by 5% 
20080928 

From Adrian: I am working to increase pricing by 5%. If the price is 100, I would typically use the formulas 100 * 1.05 = 105, which is a $5 increase. An associate suggests I divide to get the desired increase. For example, using $100 with a 5 percent increase. I would use the forumula 100/.95 = 105.26. Thas is a 5.26 increase. Can you explain this method to me an why the different increases? Which one is correct. Answered by Penny Nom. 





Markup as a percentage 
20080920 

From itzie: Okay, I've tried to make sense from some of the other questions and
answers but I still don't see the answer that makes sense to me so here goes:
I need an explanation on how $15.00 / .6 = $25 is a 40% and not as one
would see it as a 60% mark up??? I don't get it. Answered by Penny Nom. 





A father and daughter problem 
20080919 

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. 





A 5% raise each year for 20 years 
20080913 

From marie: In his first year, a math teacher earned 32,000. Each successive year, he earned a 5% raise. How much did he earn in his 20th year? What were his total earnings over the 20year period Answered by Stephen La Rocque. 





The average height of an attic 
20080912 

From oliver: I need to find out the average height of a specific volume/area.
a standard house shape side walls height 10m, height in centre of house 15m.
width 15m length 25m (the roof spans the width)
Within the house in the corner there is a (box shape) room which is 5m in height by 3m wide and 4 m long
How do i work out the average height of the space directly above the room (same floor area)? Answered by Stephen La Rocque and Harley Weston. 





A price reduction and a discount 
20080911 

From Rita: A store advertises that during its Labor Day sale $15 will be deducted from every purchase over $100. In addition, after the deduction is taken, the store offers an earlybird discount of 20% to any person who makes a purchase before 10 a.m. If Hakeem makes a purchase of x dollars,
x > 100, at 8 a.m., what, in terms of x, is the cost of Hakeem's purchase?
(1) 0.20x  15 (3) 0.85x  20
(2) 0.20x 3 (4) 0.80x  12 Answered by Penny Nom. 





What will be the resulting average? 
20080905 

From jean: the average of 9 is 54.if 84 and 90 are added to the set of numbers ,what will be the resulting average? Answered by Penny Nom. 





The percentage of sand in a soil mixture 
20080905 

From kristi: 2 m 3 of soil containing 35% sand was mixed
into 6 m 4 of soil containing 15% sand. What
is the sand content of the mixture? Answered by Penny Nom. 





A discount as a percentage 
20080905 

From joeann: if a product sold for $40.00 and you got a $10.00 discount what percentage discount do you recieve? Answered by Penny Nom. 





Tara's game show winnings 
20080902 

From David: Tara paid onehalf of her gameshow winnings to the government for taxes. She invested onethird of her winning in Jeff's copy shop at 14% interest and onesixth of her winnings in Kaiser's German Bakery at 12% interest. If she earned a total of $4000 on the investments in on year, then how much did she win on the game show? Answered by Penny Nom. 





The saddle height on a bicycle 
20080831 

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. 





How old are Brett and Jenny ? 
20080828 

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. 





GST and PST 
20080825 

From Monique: okay i live in ontario and i want to find out what my grand total will be so
i know how much i will have to pay...
so if i have a before tax total of $48.40... what will my grand total be? with
GST and PST i know that GST=5% and PST=8% Answered by Penny Nom. 





Percent difference 
20080812 

From mike: What is the percent difference between two homes if one is worth $525,000
and the other is $425,000. (525,000  425,000 = 100,000) Answered by Penny Nom. 





What is the account value after 3 years? 
20080710 

From Carlos: Question
Suppose that you deposited $3,000 at the beginning of each year for three years in a savings account earning 4%. What is the account value after 3 years (approx)?
a. 9,120
b. 9,211
c. 9,739
d. 9,989 Answered by Penny Nom. 





A four sided lot 
20080709 

From michelle: the front is 65.29
left side 162.26
the back 155.00
right side 101.01
right angle=50.00
left angle= 153.30 Answered by Harley Weston. 





Profit as a percentage 
20080708 

From ANNORIS: Question from annoris, a student:
How to calculate percent of profits using step by step division formula.
I know how to get the profit.
Selling cost was $15.00
Cost amount was $10.00
Total profits its $ 5.00.
But i do not know how to get the percent because i dont know how to divide to well . Can you helppppppp me ? Answered by Penny Nom. 





A net profit of 4% on a sales volume of $100 million 
20080707 

From Muriel: If a firm has a net profit of 4% on a sales volume of $100 million and the
company has instituted logistics programs that result in cost savings of
$1 million, what equivalent sales increase would be required to equal such
a cost savings?
What I do know is that the net profit % has increased from 4% to 5% and
the profit has gone from $4,000,000 to $5,000,000 but I have no idea what
the formula is to figure out how much sales would have to increase to
result in that same profit. Answered by Janice Cotcher. 





GST and PST 
20080702 

From Sharon: The question was asked before but it was based on a G.S.T of 7% and I am now interested in the answer for 5% G.S.T.
It usually comes up when I husband bring homes a gas bill that doesn't break down the gst and pst, but rather just gives him the total cost I have to know how much GST he paid. If it is Diesel the PST isn't included but if it is regular gas he pays both. PST is 7%. Answered by Penny Nom. 





Percentage increase 
20080629 

From Paul: Could you please help me with this question. I was paying $98.00 a month for my health insurance premium, now it is up to $125.83 How much of an increase is that as a percentage increase, and how can I do this on a calculator. I'd like to know how much my increase is as a percentage. Answered by Penny Nom. 





Kilometers per liters to miles per gallon 
20080626 

From margaret: we travelled 130 kilometers on 10 liters of gas. How many miles to the gallon did I get Answered by Penny Nom. 





30% profit 
20080619 

From Julie: how do i calculate the price per person that will return a 30% profit on the sales revenue generated? Answered by Penny Nom. 





A 15% discount 
20080618 

From karonn: Muthu bought the following items from a furniture shop which offers trade discounts of 15% on its furniture.
Item 
list price 
office chair 
RM 250 
office table 
RM 1400 
book shelf 
RM 3500 
(a) find the net price of each item.
(b) find the total payment if Muthu bought 3 office chairs, 2 office tables and a book shelf. Answered by Penny Nom. 





Price discounts 
20080614 

From karonn: Kinky Trading sells an items for RM90 less 25% and 10%. Softee Trading sells the same item for RM100 less 30%.
(a) find the net price of the item for the two companies.
(b) what additional discount percent must be offered by the company that sells at higher net price in order to meet the competitor's price? Answered by Penny Nom. 





Percent improvement 
20080612 

From JOHN: IF YOU HAD A RATE OF 678/HOUR AND YOUR NEW RATE/HOUR
IS NOW 1961 WHAT IS PERCENT OF IMPROVEMENT Answered by Penny Nom. 





Rate reduction 
20080611 

From Brian: we had a 2.43% scrap rate last year, compared to a 1.28% this year. does this come out to a .47% improvement?
Thanks for your help Answered by Harley Weston. 





What is 6 over 8 as a percentage? 
20080611 

From stephen: what is 6 over 8 as a percentage? Answered by Penny Nom. 





90% of gross leaseable footage 
20080607 

From Rosalind: 90% of gross leaseable footage in the shopping center, being 394,577, excluding that square footage leased by major anchor tenants, being 284,747. Would you deduct the 284,747 from the 394,577, then multiply by the 90%. Or would you multiply the 394,577 by the 90%, then deduct the 284,747? Answered by Penny Nom. 





Filling a hole with sand 
20080605 

From greg: I have a 18 ft. diameter circle and need to put 2 in. of sand in it i need to know how much sand in cubic yards and tons Answered by Harley Weston. 





Calculating a price based on markup 
20080603 

From Sheldon: I know the most common form for retail businesses of calculating a price based on markup is:
Cost/(1  Markup), but how is this supposed to work for a business that desires a markup of over 100%. Answered by Harley Weston. 





A 4 sided lot 
20080603 

From Pat: If a lot of property is: front 127.87, back 156.17, one side
is
129.73, the other side is 125.00, then how much total acreage is
this. Answered by Harley Weston. 





$16000 at 7% per annum for six months 
20080521 

From Delbert: If my principal balance if $16000.00 and I paid 7% interest per annum but only kept the loan for 6 months How much interest would I owe after 6 months. Answered by Harley Weston. 





Percentage difference 
20080520 

From Cavell: Hi, the projected cost was 71,700. The actual cost was 56,876. What is the percent difference? Answered by Penny Nom. 





Percentage difference 
20080514 

From sam: if you move 3,626 packages in 2008 and moved 3,202 in 2007 what percet difference do you have from 2008/2007. Answered by Penny Nom. 





Selling price 
20080510 

From Roxane: I'm trying to figure out the formula for the following, I have a product that
I want to receive a certain profit margin, but with this product I also have
to pay a percentage of commission to someone. I need to know how to
calculate my new selling price taking into account the markup percentage, but
I don't want my gross margin to be lowered. I have calculated the markup
percentage to get my new selling price with the commission, but it lowers
my profit margin once I pay the commission and I don't want it to do that. Answered by Penny Nom. 





Markup 
20080502 

From Sussie: I sold an item for $75.00
It cost me $17.00
How do I calculate to come up with the Markup %? Answered by Penny Nom. 





5 percent 
20080426 

From Lok: I do not understand why 1.05 = 5%, how can I get this?
In additional, if I want to calculate 10 x 5% in excel, what is the formula? Answered by Penny Nom. 





What percent of the 35 graduates took the exam? 
20080425 

From Laura: I have 35 graduates. All but 2 took their board exam. What percent of the 35 graduates took the exam? Answered by Stephen La Rocque. 





The sum of the ages of Petra and her mother is 45 
20080420 

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. 





What is the % of the resulting solution? 
20080420 

From RON: USING 4 PARTS OF 80% SOLN AND 1 PART OF 20% SOLN, WHAT
IS THE % OF THE RESULTING SOLN? FOR 120ML USE 96 ML OF
THE 80% SOLN AND 24 ML OF THE 20% SOLN BUT WHAT IS
THE % OF THE RESULTING SOLN? PLEASE SEND HOW TO
CALCULATE THE %. IS THE ANSWER 68% ?? Answered by Penny Nom. 





What is the easiest way to remember how to do percents? 
20080409 

From Amy: what is the easiest way to remember how to do percents? Answered by Stephen La Rocque. 





The average rate of change 
20080329 

From Tom: For the function x/3x1 find the average rate of change between the interval x=1 and x=5? Answered by Harley Weston. 





Average and mean 
20080317 

From A student: Mean and average are the same propeties of the set of elements, if there is average then why mathematician need the mean ? Answered by Penny Nom. 





Average speed up and down a hill 
20080309 

From Judith: An old brokendown 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. 





Percent and range 
20080306 

From Greg: How do you find out the percent of a number that is with in a range of numbers (i.e. what % is 39 of range 34 to 42)? Answered by Penny Nom. 





The profit was what percent of the cost? 
20080229 

From sierra: The profit was what percent of the cost?
Here is some more of that whole problem.
Selling Price$26.60
Discount$6.65
Sale Price after the Discount$19.95
The Profit$5.95 Answered by Penny Nom. 





GST and PST 
20080228 

From Donna: If I have a total amount and would like to know the amount of GST paid (5%) and I would have also paid PST (7%) in the total, can you give me a number to multiply by to get the answer Answered by Penny Nom. 





A percentage problem 
20080226 

From Suzanne: In a class of 40 students, 80% are business majors. Of the 24 students
who passed the midterm examination, 75% are business majors. What
percentage of students in the class who are not business majors passed
the examination? Answered by Penny Nom and Claude Tardif. 





How much tax does Zoe have to pay? 
20080211 

From Kelly: Rahsad pays $6.30 tax for a pair of shoes that is priced at $45.
His friend Zoe purchases another pair of shoes on sale for $25 in the same store.
How much tax does Zoe have to pay?
Solve the problem in two ways. Show your work.
What assumptions did you make? Answered by Penny Nom. 





What is the outside footage of a 50 acre parcel square? 
20080207 

From dan: what is the outside footage of a 50 acre parcel square Answered by Penny Nom. 





Stacks of blocks 
20080207 

From Tammy: i need help for my son he is given 3 stacks of cubes. the 1rst stack has 3 the 2nd stack has 2 the 3rd stack has 4
the question is draw the stacks of cubes so they are arranged correctly to find the mean. what is the mean of the data? Answered by Stephen La Rocque and Penny Nom. 





The cost before tax and shipping 
20080206 

From jonathan: Please explain how to solve this problem. I know you have to work backwards. If i have $125 to spend, how do I know the most I can spend before adding 6% tax and 9% shipping.(shipping is cost before tax) I can only figure this out by trial and error. I know there is a better way Answered by Penny Nom. 





Total profit 
20080203 

From Rhonda: I help to manage a concession stand. We sell a variety of items. Some have a profit of 60%, some 80%, etc. We have done nothing scientific to choose our prices. We just try to stay in the ballpark of schools around us. Our administrator wants to pay those that run the concession stand a percent of what is in the cash box after startup money is taken out. We have some gathered some data (not much) on how many of each item we sell and can certainly calculate percent profit. Is the profit for the entire concession stand a weighed average? I'm thinking (% profit on candy)(number candy sold) + (percent profit nachos)(number nachos sold) + (percent profit pop)(number pop sold), etc. Will this work? Does the AMOUNT of profit for these different items need to be figuredin? Hmmm. . . Answered by Victoria West and Harley Weston. 





The 5% GST 
20080202 

From Nathalie: The GST is now 5% I have a new amount $587.43 what is the formula to calculate the GST. On the $587.43 Answered by Penny Nom. 





Percentage savings 
20080201 

From Donna: What is the percentage of savings if I bought an item for $98.60 that was $152.23 and something for $96.48 that was $136.65? Answered by Penny Nom. 





Percentage off 
20080129 

From Donna: What is the percentage of savings if you bought something for $34.00 that was originally priced at $37.60. Answered by Stephen La Rocque. 





How do I convert mcg to ml? 
20080127 

From David: How do I convert mcg to ml? Answered by Stephen La Rocque. 





Percentage of what? 
20080123 

From Jenny: What is the difference in percentage between 31990 and 29990? Answered by Stephen La Rocque. 





Percentage and units 
20080115 

From Kenneth: Hello:
If the sales tax on merchandise sold in stores is 6%. The item is
multiplied by the sales tax of 6%. For example, the sales tax on
pencils worth $1.00 is 6% X $1.00 is $0.06 or 6 cents plus $1.00 for
a total of $1.06.
1. If the tax is 6%/$1.00, why doesn't the dollar sign as a unit cancel
after the multiplication?
Isn't it 6%/$1.00 X $1.00 or whatever the dollar amount is?
The dollar signs should cancel, but they do not.
2. If percentages are unitless, is there a reason? Answered by Harley Weston. 





Average Yearly Percentage Change 
20080110 

From Ray: It's about average test scores over a three year span. If the scores were:
2005 52.6%
2006 42.5%
2007 45.5%
What is the average amount they changed each year in three years? Answered by Stephen La Rocque and Harley Weston. 





Base salary plus commission 
20080110 

From mike: i need some help with this word problem.
in november 2001, hall kinion advertised an account executive position in savannah
georgia for a salesperson with experience selling internet services. the job
advertised a 3500 dollar base salary and 24000 dollar to 48000 dollar in
commissions in the first year. Assuming a 20 percent commission rate, how many
dollars in sales would u have to generate to earn 64000 dollars annually. Answered by Penny Nom. 





Percentage of an acre 
20080103 

From Christine: Given that an acre is 43,560 sq/ft; If a piece of property is 19,506 sq/ft, What percentage of an acre is it? Answered by Stephen La Rocque. 





Percentage change 
20071219 

From Aaron: I understand how figure percent of change and I can figure it on a calculator but if I have to do it without I'm not sure how to divide when the original amount is larger than the amount of change. For example, the decreased amount is 5.00 on 29.99, what would the percent be. Like I said I can do it on a calculator but need to know how to figure it without one. Answered by Penny Nom. 





Profit percentage (markup and margin) 
20071218 

From Laura: If my husband says he sold $11,000 worth of tools and made $1400 on the deal, what is the percent of profit? Answered by Stephen La Rocque. 





A T.V. is offered at a sale price of £460 
20071212 

From Conor: I was wondering if you could help me
with this question which I have for homework.
a) A T.V. is offered at a sale price of £460.
If the reduction was 8%, what was the original price of the T.V.? Answered by Penny Nom. 





How old is the 11th person? 
20071208 

From Jamie: Ten people are in a room, and their mean age is 15. After another person enters the room, the mean age is now 18. How old is the person that walked in? Answered by Jesse McLeod and Stephen La Rocque. 





The square footage of a property 
20071130 

From Warren: The west property line is 240' long with a 90degree angle to the south property line.
The south property line is 493' long with a 90degree angle to the east property line.
The east boundary is 165' long.
The length of the north property line is not known but it is a straight line from the north end of the east property line to the north end of the west property line.
Could you please tell me the total square feet and how many acres?
And how you calculated the answer Answered by Penny Nom. 





The width of a property 
20071129 

From Angie: I need to know what the footage is to find 8.1 acres knowing that the North boundary is 1309' Answered by Penny Nom. 





Percent change between two value ranges 
20071128 

From Joe: How do you calculate a percent change between tow value ranges  for instance if I project a range for 2007 to be between 100 and 120 and a range for 2008 to be between 120 and 140, how do I calculate the estimated increase between the range? Is it 0% to 40% (taking the two inside values rto calculate the minimum and the two outside values rto calculate the maximum?) Answered by Harley Weston. 





A percent as a fraction 
20071124 

From Abby: write 43.75% as a fraction or mixed number in lowest terms. Answered by Penny Nom. 





A 15% discount 
20071117 

From Deanna: if I purchase an item for $450.00 but get a discount 15% of my item what would then be my total Answered by syeve La Rocque and Penny Nom. 





Our company charges a 4% margin 
20071113 

From Nadja: Our company charges a 4% margin on top of a pay rate to obtain the total charge rate. A
client is denying that the total charge rate is calculated in the following
way:
Pay rate/0.96 = Charge rate
Please could you provide me with an explanation which I can pass on as
to why it is calculated in this way? Answered by Penny Nom. 





A 10% markup then a 10% discount 
20071113 

From svetik: The best selling dessert at Chez Russell earns revenue of $5000 per week. During Restaurant Week, they are required to give a 10% discount on this dessert. Because the owner is a crook, he decides to mark up the price the week before Restaurant Week and then give the 10% discount off the marked up price. During the marked up week, they still sold the same amount of pieces as any prior week. However, they expect to sell 100 more pieces during restaurant week. If the revenue from this dessert is the same for the marked up week and restaurant week, what is the normal price of the dessert, rounded to the nearest cent? Answered by Penny Nom. 





Percentage 
20071105 

From K.: I am trying to figure out the percent a student has accomplished some goals. My mind is drawing a complete blank...can you help!
Here are the figures I'm looking at making into a percentage:
Goal #1: yes=136, no=8
Goal #3: yes=131, no=13 Answered by Penny Nom. 





Six crates of cantaloupes 
20071105 

From BARBARA: The average weight 6 crates of cantaloupes is 61 lbs, if 3 of the crates weigh 72, 59, and 70 lbs. which of the following could be the weight in pounds of the other 3 crates?
a. 49,59,60
b. 51,53,54
c. 53,57,58
d. 54,56,60
e. 57,57,57 Answered by Stephen La Rocque and Penny Nom. 





A tshirt is on sell at 33 1/3% off 
20071031 

From kbennett: A tshirt is on sell at 33 1/3% off. Joey paid $12 for his shirt. What was the original price? Answered by Penny Nom. 





A triangular lot 
20071017 

From Brian: Seeking the square footage of a triangular property lot, dimensions are: 620 X 620X 720. Answered by Penny Nom and Melanie Tyrer. 





Percentages to put on top of an items cost 
20071015 

From GAIL: what is the formula for calculating percentages to put on top of an items cost.
ie: 115.60 with 15% on top Answered by Penny Nom. 





What is the total population? 
20071015 

From Tomco: 7/10 of the population believed 175,104,000 to be true  what is the total population.
We keep coming up with about 227,000,000 by just adding 30% to 175. Why doesn't that
work?
We have since figured out the answer to be 250...but why? Answered by Steve La Rocque and Harley Weston. 





How much can Daisy spend? 
20071014 

From Math: Daisy has $25.00 to spend on dinner. Her sister tells her to leave 18% of the bill as a tip and
the sales tax is 8% of the bill. What is the maximum amount she can spend on dinner in order to cover
the meal, sales tax, and the tip? Answered by Penny Nom. 





The percentage difference between 1/20 to 1/15 
20071011 

From jake: what is the percentage difference between 1/20 to 1/15.... Answered by Stephen La Rocque. 





The aggregate percentage for the year 
20071011 

From Lisa: I would like to add up twelve percentages then divide it by 12 to get the aggregate percentage for the year. How do I accomplish this task? Thanks. Answered by Penny Nom. 





The average rate of change of a function 
20071011 

From vern: Find the average rate of change of the function over the given interval. Compare this average rate of change with the instantaneous rates of change at the endpoints of the interval. f(X)=sinX for the inverval [0,pi/6]? Answered by Harley Weston. 





calculating percentages for my class 
20071009 

From Cori: I teach a class in which there are seven projects/quizzes worth 10% each,
and the midterm and the final are each worth 15%. No problem figuring out
their final grade, but I have to give a midterm average, having only FOUR
of the seven 10% things, and the midterm test. The closest I've come to
an accurate "average" is to just add them together (as equals) and average them. Answered by Victoria West & Harley Weston. 





Rolling a die repeatedly (you can't just add percentages) 
20071004 

From Howard: If my son has a 16.66% chance of rolling a particular number on a dice,
and he rolls for it 6 times, he knows (from experience) that his
odds of getting at least 1 right are not 100% (16.66% +16.66%+16.66% etc).
He asked me if there was an equation that would give him the correct
percentage chance of success when trying X times for a Y% chance
of something. Answered by Victoria West. 





Percentage 
20070930 

From carolyn: What percentage is 1 million dollars to 6,450 million dollars Answered by Penny Nom. 





$19.54 is 20 % of ????? 
20070914 

From aryanna: i need to find out how to find percentage on a calculator ?? the equation is
$19.54,, is 20 % off????? Answered by Penny Nom. 





Is there a way I can calculate correct square footage for odd shapes? 
20070831 

From Tom: I manage a golf course, and we are about to over seed the course for the upcoming winter months. We will be over seeding all greens, fairways, and tee boxes. Noone of the area that we will be placing seed on is a regular shape. The closest shapes they would be is a circle, rectangle or square, but most of them are all odd CURVED shapes. I know what the equation is for Square ft., and I know how many Square ft. are in an acre, but I need to be precise with the amount of seed I order. Is there a way I can calculate correct square footage for odd shapes. Answered by Harley Weston. 





Percentage differences 
20070829 

From Camilla: If a store sells a certain syle of skirt, an in the first week they sell 13,
in the second week 20, in the third week 17 and in the fourth week 23, calculate the percentage
difference between the highest and the lowest weekly sale. Answered by Stephen La Rocque and Harley Weston. 





Fractions, ratios and percentages all mixed together 
20070829 

From Charon: Example: x : 1/4% :: 9 3/5 : 1/200 Answered by Stephen La Rocque. 





More on a percentage question 
20070823 

From Dee: In a previous question, you answered:
"What percentage of $34.51 is $10.71?
I translate this English statement into a mathematical statement (equation) using the following
"what" is the unknown, call it x
"percent" is peronehundred, that is over 100
"of" is multiplication
"is" is the verb, which in an equation is the equal sign
Thus the English statement above becomes
x/100 $34.51 = $10.71
Solving for x yields
x = 31.03
Hence the gross profit is 31% of your selling price."
How did you solve for 'x' Answered by Penny Nom. 





Percentage difference between a microcentury and 50 minutes 
20070821 

From Wonder: A lecture period (50 min) is close to 1 microcentury.
Find the percentage difference from the approximation? Answered by Stephen La Rocque. 





Percentage change 
20070821 

From Saleena: Hiya, my name is Saleena and I'm studying business at college. My question for you is what is the percentage change of turnover of the following supermarket.
Turnover (Millions)  ASDA
2001 10,732
2002 12,188
2003 13,326
2004  14,318
2005 14,865 Answered by Penny Nom. 





A mixture problem 
20070821 

From Arul: Hi
Please help me with this question
Seed mixture X is 40 percent ryegrass and 60 percent bluegrass by weight; seed mixture Y is 25 percent ryegrass and 75 percent fescue. If a mixture of X and Y contains 30 percent ryegrass, what percent of the weight of this mixture is X ? Answered by Stephen La Rocque. 





Markup 
20070820 

From Drew: I own a manufacturing business and I need to figure out the best way to mark up our products so that we can make a profit for this year. Say for instance we have a plow that we can make for $938.00. We need to mark it up 20% so that we have some income. Do we take the $938 x 20% = $1125.60 or $938 / 80% = $1172.50? Answered by Stephen la rocque and Harley Weston. 





The area of a five sided lot 
20070819 

From Karyn: I have been looking at your site, but I am still confused as to how to
figure out the exact square footage of my irregular lot (since it is a gradual fan
lot from the front, and triangles out in the back). Answered by Harley Weston. 





The change in an average 
20070819 

From farah: the average height of a group of 25 students goes up by 2 cm when astudent of height 165 cm replaces a student from the group.what is the height of the boy who went out of the group? Answered by Stephen La Rocque. 





Percentage change 
20070819 

From nona: If inputs increase by 30% and outputs increase by 15%, what is the percentage change in productivity? Answered by Stephen La Rocque. 





Percentage calculations 
20070815 

From Lorrinn: I process gifts for a nonprofit agency. For some gifts I calculate administrative fees. I understand calculating a straight percentage of a gift (i.e. 10% of $100.00 = $10.00). That's a fee "off the top". What I would like to better understand is the theory or the "mathematical reasoning" behind calculating percentages "on the inside". For example, to calculate 10% "on the inside" of $100.00, I use the following formula: $100.00/1.10*10.0%. The answer here is $9.09. I know how to do this, but I would like to better understand the "why". Thank you. Answered by Penny Nom. 





Percentage change 
20070813 

From Karen: I need a formula for calculating percentages in Excel. For example, we =
sold 4 units of an item one month, and 105 units the next. I need a =
formula to calculate the percentage increase in sales units. Also, if =
5251 were sold one month and 651 the next, what is the formula for =
calculating the percentage difference? Please help, thank you. Answered by Penny Nom. 





GST and PST 
20070811 

From Cynthia: I paid $15.98 for an item. Both GST (.96) & PST ($1.12) were added for a total of $18.06. I know that .96 is GST (6%) and $1.12 is PST (7%).
Other than looking at the receipt, if all I have is the total amount paid, how do I calculate how much of the total are taxes? Answered by Penny Nom. 





What percent of 68 is 51 
20070808 

From Kurt: what percent of 68 is 51 Answered by Penny Nom. 





What was the average? 
20070808 

From Leroy: A total of 50 juniors and seniors were given a math test. The 35 juniors attained an average score of 80 while the 15 seniors attained an average of 70. What was the average score for all 50 students who took the test? Answered by Penny Nom. 





Average annual earnings per share 
20070807 

From Arul: A corporation with 5,000,000 shares of publicly listed stock reported total earnings of $7.20 per share for the first 9 months of operation. During the final quarter the number of publicly listed shares was increased to 10,000,000 shares, and fourth quarter earnings were reported as $1.25 per share. What are the average annual earnings per share based on the number of shares at the end of the year? Answered by Stephen La Rocque. 





Buying and selling apples 
20070803 

From Priya: Gorang bought 60 Kg of apples at Rs 48 per Kg. He sold 70% of the apples at Rs 60 per Kg and the remaining apples at Rs 35 per Kg.Find Gorang's gain or loss percent on the whole transaction. Answered by Stephen La Rocque. 





Subdividing a property into half acre parcels 
20070731 

From Pamela: We need to divide a large property with five sides and strange angles into 1/2 acre parcels from the top down. We want to know where along the eastern and western borders of the large property to make the divisions. Answered by Stephen La Rocque. 





Building a garage 
20070729 

From charles: I want to build a garage that is 24 feet 4 inches wide by 50 feet long.
can you please tell me what the length of one corner is to the other? Answered by Penny Nom. 





The cost of some groceries 
20070718 

From A student: Two boxesof the cereal and our four cans of the pears were boutht at grocery store,the cereal cost $2.29per box and the pears cost 79cent per can.sales tax is 6% what was the total cost of the food diregerding ? Answered by Penny Nom. 





Discount percentage 
20070711 

From Greg: List Price: $50.00
Discount: 33 1/3%
What would the net price be? Answered by Stephen La Rocque. 





Dried grapes and percentage of water content 
20070709 

From Jyoti: Fresh grapes contain 90% water by weight while dried grapes contain 20 % water by weight. what will be the weight of dry graprs available from 20kg of fresh grapes? Answered by Stephen La Rocque. 





I need to provide 712 cubic feet to water storage capacity 
20070703 

From William: I need to provide 712 cubic feet to water storage capacity.
If I use 15 inch diameter pipe, what would the length need to be
to provide the capacity? Answered by Stephen La Rocque. 





Average speeds 
20070622 

From Dee: A guy goes 3.1m a second for 29 seconds in a golf cart. He then walks 1.5 meters a second. How long does he have to walk to get the average speed of 2.1m a second? Answered by Stephen La Rocque. 





An 18% reduction 
20070615 

From darren: I have a figure of 627.30 i need to find out what
the original amount was before 18% was taken away to leave the 627.30 Answered by Penny Nom. 





Percentage increase and decrease 
20070613 

From Anna: I just want to if the following formula is used for the computation of a PERCENTAGE DECREASE:
Old Value  New Value/ Old Value x 100%
My immediate superior is under the impression that the said formula works ONLY for the computation of a percentage INCREASE. He believes that the formula for a percentage DECREASE:
Old Value  New Value/ NEW Value x 100%
On this score, I want to know the correct formula for the computation of percentage decrease. Thank you so much.
Answered by Penny Nom. 





Percent change over multiple periods of time 
20070607 

From Eric: I am trying to show the percent change over multiple periods of time.
Is there a formula for the percent change over multiple periods or will I have to calculate the percent change for each previous period versus the year prior? Answered by Penny Nom. 





Percentage below the monthly quota 
20070607 

From Greg: Sales quantities for the month were 12,834 with a monthly quota of 14,796. What is the percentage below the monthly quota? Answered by Penny Nom. 





The "mode" of a set of numbers 
20070606 

From Anthony's mom: we have a graph: Kindergarten has 1, 1st has 5, 2nd has 4, 3rd has 3
is the mode "1st grade" because there are more children in that grade? Answered by Stephen La Rocque. 





A machine depreciates by 20% each year 
20070603 

From katie: the value of a machine depreciates by 20% each year.
How would i find what single decimal number to multiple the original value by to find its value after 2 years? Answered by Penny Nom. 





The number of grams of sulfuric acid 
20070531 

From cookie: Hi,
Can you please let me know if I've done this correctly?
Calculate the number of grams of sulfuric acid in 0.500L of battery acid if the solution has a density of 1.28 g/mL and is 38.1% sulfuric acid by mass. Answered by Stephen La Rocque. 





Fractions, decimals and profit 
20070529 

From fatima: how can i change a fraction into a decimal and how do i change a
decimal into a fraction................
anther question please what does making a profit have
to do with percentage change!!!!!! Answered by Penny Nom. 





$450.00 six years at 7 percent 
20070528 

From Donna: The future value of 450.00 six years from now at 7 percent Answered by Penny Nom. 





How to increase your average 
20070524 

From Janna: after taking 4 quizes your average is 71 out of 100. what must your average
on the next 5 quizes be to increase your average to an 81 out of 100? Answered by Penny Nom. 





Lot acreage 
20070521 

From Sherri: I have a lot that is 2565 x 1056 x 2636 x 285 that is roughly in the shape of a triangle, with the small strip on the top of the triangle, that I would like to figure the sq. footage for. Could I draw a line from one corner on the top to the opposite corner on the bottom and get the area of those two triangles, then add that together to come up with the sq. ft.? Answered by Stephen La Rocque. 





Percent difference 
20070517 

From Carolyn: What is the % difference between these two numbers 211373 & 185420 Answered by Gabriel Potter, Penny Nom and Steve La Rocque. 





Lot size / acreage (more than three sides) 
20070511 

From Martha: What is the lot size of the following dimensions equivalent to acre.
141.85 x 52.55 x 217.63 x 38.89 x 68.08 Answered by Penny Nom and Stephen La Rocque. 





Area of a pentagonal lot 
20070509 

From Mimi: I would like to know the square footage of a pentagon with the
following measurements:
Property is .43 of an Acre
Front: 57.11'
NW: 105.78'
S: 120'
SE: 145'
E: 102.86'
I don't want you to try to show me how to work thru the problem since
I will never comprehend it. For some reason, I am unable to perform these
kinds of equations. I will greatly appreciate your help. Answered by Penny Nom. 





Percent 
20070507 

From Art: what percent of 85 is 17? Answered by Stephen La Rocque. 





How many sales does she need? 
20070507 

From Jimi: The new businessperson hopes to earn $50,000 per year. The profit percentage for this type of business is typically 10%. How much must sales be? Answered by Stephen La Rocque. 





Average 
20070506 

From michelle: the average of x and y is 20. If z = 5, what is the average of x, y, and z. Answered by Stephen La Rocque. 





Reverse Calculation of GST and PST in Quebec 
20070503 

From Derek: Could you please tell me how to figure out the PST and GST paid on an item.
Example: I paid $10 total (including taxes) and the GST is 6% and the PST is 7.5%, HOWEVER, in Quebec, we pay the PST on the subtotal+GST.
Thanks, Derek Answered by Stephen La Rocque. 





My commsion is 2.5% 
20070502 

From susan: How do you do percentage say i sold a house for 350,000 my commssion
is 2.5% how do i figure that out can you show the formula for calculator please thank you very much Answered by Penny Nom. 





Percentage change 
20070501 

From katie: i no many people have asked about this but im still unsure what is percentage change i have my ks3 tomoro so please reply asap thankz Answered by Penny Nom. 





What percentage made a grade below 70? 
20070501 

From Dee: There are 21 students in the class. 1 made a grade of 100, 2 made grades of 90 , 3 made 80,
4 made 70, 5 made 60, 6 made 50.
What percentage made a grade below 70?
I know 11 students made below a 70.
Please help me find the percentage, Answered by Penny Nom. 





(ab)/b = c 
20070427 

From Adam: What does
(ab)/b = c
represent when c is a percentage? Answered by Penny Nom. 





An average homework grade 
20070426 

From vince: If your homework grades is only 15% of the total grades and with an average
homework grade of 90% what is your earn point for the homework
earn point = average times percent Answered by Stephen La Rocque. 





Producing chocolate bars 
20070426 

From anne: If you have to produce an average of 114 bars of chocolate over 7.5 hours how many do you have to produce over 9.5 hours. Answered by Penny Nom. 





What is the Sales Tax? and Shipping? 
20070424 

From Mark: 1 Item $4020.44
1 Item $1749.86
1 Item $11455.62
Total 17,225.92
The sales tax and shipping is included in the total. The sales tax rate is 8.75%
What is the Sales Tax? and Shipping? Answered by Stephen La Rocque. 





Find the percentage of the students that are here? 
20070423 

From C.: If there are 260 students on roll and 11 of them are absent, how do i find the percentage of the students that are here? Answered by Stephen La Rocque. 





I want to mark up a price by 5% 
20070419 

From Steve: ok so i want to mark up a price by 5% or any percentage.
which is correct? ( this is done with a calculator with a % button)
a.
62*5% = 3.1 (3.1 + 62) = 65.1(total)
b.
62+5% = 65.263(total) (rounded to the 3rd decimal)
im trying to wrap my head around this.
the calculator has a button which does % all automatically.
Markup *20 which equal 5%.... Answered by Stephen La Rocque and Penny Nom. 





How much did it originally cost? 
20070404 

From Megan: My question is simple:
"Jim is able to sell a handcarved statue for $650 which was a 35% profit over his cost. How much did ie originally cost?"
I don't even know where to start could you help? Answered by Penny Nom. 





The size of a lot 
20070330 

From Phyllis: Could you please figure out the square footage and acreage of my lot?
One side is 480ft
One side is 410ft
One side is 480ft
The last side is 410ft
Thank you. Answered by Penny Nom. 





n($) x 35% equals $159,530 
20070329 

From Christine: If n($) x 35% equals $159,530 what is n? Answered by Penny Nom. 





How many tons it will take to fill in this area 
20070329 

From Amy: I have to fill an area with millings (crushed stone). The measurements are 14 foot long, 14 foot wide, and a depth of 6 inches. How do I find the square footage and how do I convert that into tons?
I need to know how many tons it will take to fill in this area. Answered by Penny Nom. 





The volume of a hopper 
20070323 

From amitesh: Let me know how to calculate the tonnage of hopper / bins / chutes of different sizes and dimensions. Answered by Penny Nom. 





Approximate average speeds 
20070319 

From Anne: A bicyclist pedaled up a 2 mile long hill averaging 4 miles per hour. Upon reaching the top, the bicyclist headed down a 6 mile descent averaging 26 mph. What was the bicyclist's approximate average speed?
Thanks very much in advance!! Answered by Stephen La Rocque and Penny Nom. 





How do I extract 14% 
20070319 

From Richard: I need to find the calculation to answer this;
I have the figure 379.28, how do I extract 14% from this figure
to extract 17.5% I div by 6.714, however i cannot find the formula
on how to do this an extract 14% Answered by Stephen La Rocque and Penny Nom. 





What will our square footage size be after appropriation? 
20070317 

From Melissa: I have a rectangular lot of 110.0 feet by 396.0 feet. When we sell the District will take 2.38 meters off the front for appropriation. I believe we currently have a 1 acre lot? What will our sqaure footage size be after appropriation?
Thanks,
Melissa Answered by Penny Nom. 





Percentage markup 
20070316 

From Debbie: What formula or formulas do I use if I want to ultimately charge a customer $300 for a service, but need to factor in a 15% commission for a sales rep, $20 to cover the cost of our overhead, the cost of a $25 coupon that we will be sending to the customer to apply to future services. In other words, what amount do I initially quote the customer to be able to cover these costs? Answered by Stephen La Rocque. 





Percentage increase 
20070316 

From Gerry: How do I figure the percentage between a small circle and a large circle Answered by Penny Nom. 





The percentage difference between 64.24% and 74.24% 
20070303 

From M: What is the percentage difference between 64.24% and 74.24%? Answered by Stephen La Rocque and Penny Nom. 





How old are they now? 
20070226 

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. 





Percentage markup 
20070223 

From Jim: If a total amount includes a part price plus a markup percentage how do you calculate the part price if you know the markup % allowed. For instance : $810.00 includes a part plus 13.5% markup. How do I calculate the part price from this info? Answered by Penny Nom. 





Jim had 45 marbles and he lost 11 1/9% of them 
20070220 

From Mesha: If Jim had 45 marbles and he lost 11 1/9% of them, how many had he left? Answered by Steve La Rocque and Haley Ess. 





What is 40% of 936? 
20070214 

From naheem: what is 40% of 936 Answered by Sara Ulmer. 





income percentages 
20070205 

From karen: I would like to know what percent of a bill each person would pay based on the income differences one person makes 78968.00 and the other makes 52000.00 I believe it is 65% and 35%
so if a bill is 120.00 one person pays 78 and the other pays 42 is this correct thanks Answered by Stephen La Rocque. 





Yardage of dirt fill 
20070202 

From Gene: I am removing dirt then replacing it with good dirt. I need to know how many yards of fill dirt it would take to fill a diameter 165 feet with fill of 13 ft would take how many cubic yards of dirt. Answered by Penny Nom. 





6.9 is 11.5 percent of what number? 
20070125 

From David: 6.9 is 11.5 percent of what number? Answered by Penny Nom. 





Percent elevation gain 
20070124 

From Susan: okay... so if I hike Gregory Canyon and it's a 1.1 mile hike with a 900 foot elevation gain, what's the percent elevation gain? Answered by Stephen La Rocque. 





Percentage markup 
20070116 

From Lauren: MY DAD IS TRYING TO SELL PRODUCTS AT A 40% MARKUP. LET'S SAY THE COST IS $55.00. SHOULDN'T YOU JUST DO, 55 X 1.4 = 77 , SO THE $77 IS THE 40% MARKUP?? HE'S SAYING THAT YOU TAKE 55 / 60% = 91.67 . SO WHO'S FORMULA SHOWS YOU A TRUE 40% MARKUP OF $55.00 DOLLARS?????? Answered by Penny Nom. 





What is the percent of the decrease? 
20070110 

From Bill: if the value of xyz company stock drops from $25 per share to $21 per share, what is the percent of the decrease? Answered by Penny Nom. 





13.78g /11.3mL 
20070105 

From Judd: 13.78g /11.3mL Answered by Penny Nom. 





A percentage 
20061221 

From Kim: At a company fish fry 1/2 in attendance are employees. Employees' spouses are 1/3 of the attendance. What is the percentage of the people in attendance who are not employees or employee spouses? Answered by Stephen La Rocque. 





Percentage increase 
20061221 

From Wang: The last week of a month a car dealership sold 12 cars. A new sales promotion came out the first week of the next month and the sold 19 cars that week. What was the percent increase in sales from the last week of the previous month compared to the first week of the next month? Answered by Penny Nom. 





The average of 3 tests 
20061212 

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. 





The square footage of an irregular lot 
20061207 

From Lori: If I have a rectangular irregular sized lot with the following:
A  110.53' B  159.87' C  127.28' D  165.86'
How do I determine the square footage? Answered by Penny Nom. 





Quiz grades 
20061205 

From Patricia: Your quiz grades are 73, 75, 89 and 91. What is the lowest grade you can obtain on the last quiz and still achieve an average at least 85? Answered by Stephen La Rocque and Penny Nom. 





27 snakes in four cages 
20061205 

From Sherril: A zookeeper has to put 27 snakes in four cages. His problem is that he must have an odd number of snakes in each cage. How can he accomplish this? You can put any number of snakes in a cage as long as the total number of snakes in each cage is an odd number. Answered by Stephen La Rocque and Penny Nom. 





Percentage increase 
20061129 

From Toya: I have some statistics from year to year based on drug seizures.(units= lbs) e.g. in 2005 123lbs seized in 2006 1518lbs seized. now i worked out the percentage increase as to be in the thousands which from looking at the figures is correct however i don't want to say 1000% increase.
using another formula current previous *100 I got 92%. what exactly does this 92% represent and how can i use this number when presenting my answers instead of using 1000 + % Answered by Stephen La Rocque and Penny Nom. 





Percentages 
20061123 

From Hyaqcinth: I just do not understand percentages...if the cost of a product is $1.20, how can I make a profit of 55% ? how do I calculate this problem? Answered by Stephen La Rocque. 





What percent of the people oppose putting in curbs? 
20061117 

From DeeDee: The ratio of people who support putting in curbs to those who oppose it is 2 to 5. what percent of the people oppose putting in curbs? Answered by Stephen La Rocque. 





The semester grade 
20061103 

From Caroline: Can you tell me how to calculate a grade based on a percentage formula where 15 assignments account for 40% of the grade and 3 tests account for 60% of the semester grade. Answered by Penny Nom. 





How much smaller is this one in percentage? 
20061024 

From Michael: I have two different squares. One of them is smaller than the other. I need to know how to calculate how much smaller it is in percentage. 11.95mm x 6.72mm 11.2mm x 6.3mm How much smaller is this one compared to the one above in percentage? Answered by Haley Ess. 





Percentage differences 
20061023 

From Michael: how do I calculate the percentage difference of a certain box size. for example. How much percent smaller is this box: 8.4mm x 6.3mm to this box: 9.35mm x 7mm Answered by Stephen La Rocque. 





Percentage increase 
20061015 

From Amanpreet: in yr 7, bill was 1.28 m tall, in yr 9 he was 1.67m tall. calculate his percentage increase in height Answered by Stephen La Rocque. 





Plotting percentage change 
20061011 

From Beckie: I have worked out a set of percentage differences which are all percentage decrease. Should i express them as a negative percentage as 20%? I also need to plot them on a graph and am not sure whether to just use the percentage difference as it is, in which case i get a positive gradient, or include a negative axis and plot them in this way, in which case i would get a negative gradient. I think the slope of the curve will be the same either way so it might not matter! Answered by Penny. 





2/3 as a percentage 
20061010 

From Marlene: 2/3 is what percentage of a circle?
Answered by Penny Nom. 





A volume 
20060927 

From jc: If I have to pay storage charges on 45 cu ft. What size is that area L X W X H Answered by Stephen La Rocque. 





How do I determine the acreage? 
20060920 

From Charlene: I have a survey of property with various points on it; how do I determine the acreage? Answered by Penny Nom. 





The square footage of my property 
20060917 

From Jack: I have been trying to calculate the square footage of my property, without success. The measurements are below.
Is there a simple formula that can be used based upon the outside parameters? Or, is there a simple way to calculate the square footage? Answered by Stephen La Rocque and Penny Nom. 





What was the total cost of the dinners he served 
20060910 

From Connie: Walter is a waiter at the town diner. He earns a daily wage of $100 plus tips that equal to .15 of the total cost of the dinners he serves. What was the total cost of the dinners he served if he earned $170 on Tuesday? Answered by Stephen La Rocque. 





Grossing up payroll wages 
20060827 

From Katie: I really need to understand (spelled out step by step) how to gross up payroll wages. Answered by Penny Nom. 





Annual percentage yield 
20060817 

From Joe: If you have $360,767 in a money market fund that has accumulated a total of $2,127 in year to date dividends (an eight month period January to August) what is the annual percentage yield. Answered by Penny Nom. 





How old would i be in minutes 
20060809 

From Mariah: i would like to know how old would i be in minutes if i was thirteen years old including leap years Answered by Stephen La Rocque. 





Power walking 
20060730 

From Wendy: I have an exercise routine of 'power walking', approx. 56 days per week. I carry a pedometer with me during these walks so that I can keep track of the distance of each walk. I've created a weekly walking chart on my computer, so each time I get back from a walk, I enter my stats, such as kilometers and miles walked that day, as well as my start and finish time. At the end of each week, before I printed out my completed chart, I would calculate out what my average walking distance was, for that particular week.
At the end of each month, I would calculate:
[1] I'd add up my total kilometers and miles walked for that month. (a no brainer ~ I could do that one!)
**But also, I would work out the percentages of the following:
[A] What my average daily distance p/walk was, for that month
[B] What my average time spent, per walk was, for that month Answered by Penny Nom. 





Percentage Difference 
20060725 

From Sandra:
I have two numbers (1530 and 1315). How do I calculate the percentage difference.
For example: I have one loader that lifts 1530 lbs. and another loader that lifts 1315 lbs. I know the difference is 215 lbs. How much greater lift capacity does the loader that lifts 1530 lbs. have than the loader that lifts 1315 lbs.?
The formula that I used was:
1530  1315 = 215
215/1315 = .163498 or 16.3%
Is this correct?
Answered by Stephen La Rocque. 





The lot is a very odd shape 
20060720 

From Liz: I have a square footage question. I'm looking at buying a piece of land and would like to know how to calculate the square footage of it. The lot is a very odd shape and I have attached a drawing of the lot: Answered by Stephen La Rocque. 





Finding square footage from lengths in inches 
20060714 

From Ann: How do I find out the square footage of a window 45" by 22" and 43" by 35.5"? Answered by Stephen La Rocque. 





What is the interest on $50,000.00 at 5% for 40 days? 
20060712 

From A borrower: What is the interest on $50,000.00 at 5% for 40 days? Answered by Penny Nom. 





A goods and Services Tax calculation 
20060701 

From Carol: If I have $1700 how much of that is GST? Before the GST was changed to 6% you would multiply $1700 by .06542. Now what number do you multiply for 6% GST. No PST involved. Answered by Penny Nom. 





A percentage question 
20060628 

From Terrence:
Given the percentage and the total amount, I need to know how to arrive at the total amount without guessing.
Example: 25\% of what is $298,750.00
Answered by Stephen La Rocque. 





Rates and percentages 
20060620 

From Todd: If rates are about to rise 1.84%, from the current 5.30% that they are currently at. What amount are they going to increase to?
I ask because many publications print an answer that is 7.14% but I don't see that as correct because the first line would have to say an increase of 184 basis points for that to be correct. My answer to this is about 5.4%. Am I thinking correctly?
secondly, if rates are about to move to 7.14% from 5.3% what percentage move is this?
I get an answer of about 35%. am I off on this or is everyone else that I ask not calculating correctly? Answered by Claude Tardif. 





How much did I have in my wallet when I lost it? 
20060615 

From Marangeo: I recently lost my wallet and when it came to completing the police report I couldn't remember how much money I had in there. I do remember thinking that the first time I bought something that it cost me 10 per cent of what I had. Then I noticed that the second purchase had also cost me exactly 10 per cents of what I had left. My receipts totalled $19. How much did I have in my wallet when I lost it? Answered by Stephen La Rocque. 





Designing a garage 
20060608 

From A builder: I'm currently designing a garage and came upon this interesting math problem. I've tried using various methods to solve it but have so far been unsuccessful. I've included a picture as its far easier to show you my question than explain it verbally. I realize it could be done by trial and error but i'm looking for a real solution. Answered by Stephen La Rocque and Penny Nom. 





Can you explain the differences between margin and mark up? 
20060607 

From Michelle:
I have a widget I buy for $10. I want to make a 40% margin on the product cost. What do I then sell to the customer for?
Also, can you explain the differences between margin and mark up?
Answered by Penny Nom. 





A 3% tax 
20060510 

From Stacey: Illinois residents have to calculate their state income tax as 3% of their taxable income. If Mr. and Mrs. Grisham's taxable income for 2004 was $81,200, how much tax did they have to pay? Answered by Penny Nom. 





A hallway in an old house 
20060506 

From Sabrina: I am trying to determine how many square feet is in a room that is not square or rectangular. It has basically 5 walls of different lengths, it is acutely considered a hallway in an old house, how can I figure out the footage, the Length times Width requires to much wasted materials Answered by Penny Nom. 





Percentage of weight 
20060426 

From Karen: How do you calculate percentage of weight lost? Answered by Stephen La Rocque. 





How do I find the percentage interest? 
20060424 

From Cheryl: Kiera invested $43,608 in a mutual fund that paid
$432.96 in interest at the end of the year. What was the percent interest Kiera earned from her initial investment? Answered by Stephen La Rocque. 





What's the difference between percentages and points? 
20060421 

From Sayed: What is the difference between percentages and points? Answered by Stephen La Rocque. 





What is the original cost? 
20060419 

From Charlie: Selling a piece of furniture for $670 and the profit is 35%. What is the original cost? Answered by Stephen La Rocque. 





How much money can I borrow if I have $5 000 for a deposit? 
20060419 

From Chris: I have a sum of cash that I want to use as a deposit ($ 5 000) and a lender will lend me 65% of the purchase price. How do I calculate the maximum value I can borrow?
Answered by Stephen La Rocque. 





Reverse percentage 
20060419 

From Mike: How would I calculate a reverse percentage?
Let me give you an example. I have two values that calculate to a success rate of 93.32. Total=1546051 Failures=103302. (1546051103302)/1546051=93.32% success.
Now how much would I need to increase the total value to get the success up to 95%? Answered by Stephen La Rocque. 





Price percentages 
20060413 

From Kristine: An item that is no longer on sale at "25% off" receives a price tag that is 33 1/3% more than the sale price. Has the item price been restored to its original price? Why or Why not? Answered by Stephen La Rocque. 





The average of a function 
20060411 

From Justin: Find the average value of the following function from x=0 to x=7
f(x)=3x+4 Answered by Penny Nom. 





Markup 
20060407 

From Larry: Calculators from different manufacturers work differently. Enter 100, then plus 15%, on some calculators you'll get 115 on others return 117.65 . On any calculator, enter 100, then divide by 0.85 (point 85) and you'll get 117.65 .
I don't understand this well enough to explain to my grandson, but as a salesman, I know which one to use. Answered by Penny Nom. 





The average of monthly averages 
20060406 

From Ray: I have the averages of some data in percentages. the data is rather large, how can i find the average of these averages without going back to the original data? Is there a Factor or Constant that i could multiply or devide or add and get the average of these averages without resorting to the raw data. Answered by Steve La Rocque and Harley Weston. 





A square in a circle 
20060405 

From Lisa: A square is inscribed in a circle. Determine the percent of the circle's area that is outside the square. Answered by Stephen La Rocque. 





List price plus 10% 
20060403 

From Heather: We shipped 2 pieces of an item with a unit price of $578.74 for a total amount of $1157.48. My task is to bill the customer at LIST + 10%. What formula do I need to use to calculate this? Answered by penny Nom. 





Superimposing images 
20060330 

From Laurie: I am a parent and trying to find real world applications for the math strand that includes superimposing one item on another to determine identical. The Alberta strand is match size and shape of figures by superimposing one on top of the other. I am trying to find a way to put this into context for everyday life. Any ideas? Answered by Penny Nom. 





What percentage of the seniors polled yes? 
20060320 

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. 





A bill with a 15% tip and a 10% discount 
20060320 

From Tracy: A $4500 bill is presented, without tax. 10% discount coupon. Add 15% tip with 3 people spitting for the sever. Answered by Penny Nom. 





Gross profit as a percentage 
20060318 

From Mark: How do I calculate the gross profit by percentage on and a product I purchased for $23.80 marked up 45% sold for $34.51 = profit of $10.71 GP by percentage???????? Answered by Penny Nom. 





The square footage of an area in my backyard 
20060317 

From Kim: I need to find out how to calculate the square footage of an area in my backyard that is in the shape of a "slice of pie". There are two sides that are straight lines that come together at the top to form a point, and then at the bottom is a curved line that joins the two other lines together. I need to figure out how to calculate the square footage that is inside the area. Answered by Penny Nom. 





Divide the product of three consecutive positive integers by their mean 
20060312 

From Sandy: When I divided the product of three consecutive positive integers by their mean, I got 99. What is the smallest of the three numbers? Answered by Stephen La Rocque. 





George and his car 
20060310 

From Catrina: George's car gets 3 more miles per gallon during highway driving that it does during city driving. Recently he drove 112 miles on a highway and 150 miles in the city and used exactly 10 gallons of gas. How many miles per gallon does his car get during city driving? Answered by Stephen La Rocque. 





A reduction of 10% in the price of tea 
20060308 

From Bidhu: A reduction of 10% in the price of tea enables a dealer to purchase 25 kg more tea for Rs 22500.What is the reduced price per kg of tea?What was the original price per kg? Answered by Stephen La Rocque. 





If something costs $40, and they took 20% off, what is the original price 
20060304 

From Kevin: If something costs $40, and they took 20% off, what is the original price Answered by Penny Nom. 





A 5900% increase 
20060303 

From Pat: I want to find out the % of production increase from 250 dolls a month to 15,000 dolls a month. i think it is 5900% but that seems too high. Answered by Penny Nom. 





An account that earns 6% annually 
20060301 

From Christine: How much do you have to deposit to an account that earns 6% annually if you want to earn $1200 on the account? Answered by Stephen La Rocque. 





Cutting off the top of a triangle 
20060222 

From Ken: I'm a creative type who needs to find how you can determine the horizontal, relative percentages within a triangle. Attached is a pdf showing approximately the
50% line, but I'd like to know how to determine any percentage (horizontally) within a triangle . I know that if I put a horizontal line though the height of the triangle I won't be showing 50% above and 50% below. The bottom part has to be larger (correct me if I'm wrong).
I'm not concerned about height as I am wanting to break down the percentages into 60% at the bottom, 25% in the middle and 15% at the top.
Answered by Penny Nom. 





What percentage of 120 is 24? 
20060222 

From Julie: What percentage of 120 is 24? Answered by Penny Nom and Stephen La Rocque. 





A man sells a refrigerator for $171 
20060220 

From Skye: A man sells a refrigerator for $171, gaining on the sale as many percent (based on the cost) as the refrigerator cost, C, in dollars. Find C. Answered by Stephen La Rocque. 





Outliers in a box and whisker plot 
20060219 

From A student: i need help on determining if their is an outlier...i know how to find the median and the lower quartile and the upper quartile..but i don't understand about the outliers....please tell me if their is an outlier in this problem....the numbers are...63,88,89,89,95,98,99,99,100,100 Answered by Penny Nom. 





A 35% discount 
20060219 

From Marc: If Julie paid $455.00 for a television and it was already discounted by 35% what was the original price? Answered by Penny Nom. 





Percent gain 
20060214 

From Bill: If a stock is bought at $3.50 and sold at $5.80, what percent was the gain? Answered by Penny Nom. 





Working with percentages 
20060210 

From Mark:
Hi, i have problem...i am trying to average a group of numbers....when i try to average the average...its gives a different results:
A 
b 
c 
d = A/(bc) 
1169 
1173 
1 
100% 
534 
540 
0 
99% 
358 
359 
0 
100% 
172 
174 
0 
99% 
. 
. 
. 
. 
. 
. 
. 
. 
. 
. 
. 
. 
2375 
3422 
24 
70% 
1976 
3677 
42 
54% 
1431 
3660 
53 
40% 
187 
3433 
57 
6% 
761 
3142 
39 
25% 
2080 
2109 
7 
99% 




38280 
49121 
266 
78.35% 
When I try to average column D  it yields to 86.73% and not 78.35?
Please help me
Answered by Penny Nom. 





More on percentges 
20060210 

From Rich: I need to dilute several owners who combined own 66% down to 50% and increase the 34% owner to 50%. I thought it was as simple as taking 16% away from each of the 66% and transferring that amount to the 34%, but it doesn't add up. Answered by Penny Nom. 





A percentage question 
20060209 

From Graham: If i order 700 lines in total, 500 lines on order A and 200 lines on order B how bo i work out the percentage of lines ordered on order A Answered by Penny Nom. 





Mixing 
20060203 

From Caren: If I am 75% flippino and 25% white and the guy is full white what will be the whole percentage of the flippino and white nationality in the baby? Answered by Penny Nom. 





What is 3.5% of 4000.00? 
20060131 

From Ellen: What is 3.5% of 4000.00?
What is 3.5% of 2000.00? Answered by Penny Nom. 





Percentage increase in sound intensity 
20060129 

From David: I am doing some emotion response mapping.
Being a composer I know how to push the heart beat tempo by a % increase of BPM in my music. I want to know how to calculate an increase in intensity of sound. Now I have 60 decibels. I want an increase of intensity by a factor n% with out going over 156 decibels.
Answered by Penny Nom. 





Percentage weight change 
20060124 

From Abdul: what is the percent change if a person's weight changed over 3 years:
year 1995 1997 1998 %change(19951998)
weight 63kg 67kg 73kg ......... Answered by Penny Nom. 





Our client wants to make 25% from their sale... 
20060124 

From Noelle: I need to figure out how to figure pricing for our clients. If our client wants to make 25% from their sale and they purchase it from me for $35.95, how do I figure what their cost is? Answered by Penny Nom. 





Markups and discounts 
20060121 

From Dan: I'm trying to increase my pricing by 30 percent. I'm doing something completely wrong. If my price is $150.00 and I increase the price by 30 percent. I would take 150 times .30 and that equals 45. I would then take 45 plus 150 and that would give me 195. My problem is now 195 is my list price. If I turn around and give my customer a 30 percent discount off the 195 the price ends up being 136.50. Which is less than the 150 that I started with. I'm confusing myself and have totally lost confidence in what I'm doing and how . Can you help me? Answered by Penny Nom. 





Percentage discount 
20060115 

From Louise: Avril is buying a computer. She finds two places with a discount."Classy Computing" is selling a computer that was £650 and NOW it has £50 off.
"WWW.CHEAPO.COM" is also selling a computer that is £650 but it NOW has 10% off.
WHICH IS CHEAPER? Answered by Penny Nom. 





Percentage markup 
20060110 

From Ian:
I have a markup question for you. I work for a painting company, specifically I estimate cost and sell painting projects. Within our office, we've had some discussion on how markup should be calculated for materials that we include in our prices. These are the two scenarios that we've come up with.
1. Mark up as a percentage of the cost: Cost = $ 10.00 X 15% Markup = $ 1.50. $ 1.50 + $ 10.00 equals $ 11.50 as a sale price.
2. Selling Price = Cost / (1the desired profit margin). This would equal to $ 10.00 / (1.15) = $ 11.76 roughly.
If you have any information on whether one is more correct and why, I would appreciate this. I want to make sure that I am marking things up correctly.
Answered by Harley Weston. 





10% of 20% of 40% of ... 
20060108 

From Michael: What is 10%
Of 20%
Of 40%
Of 80%
Of 1000? Answered by Penny Nom. 





The average of 4 numbers is 5. 
20060102 

From Sheri: The average of 4 numbers is 5. I have 3 of the numbers already 5,8,4,? How do i find out what the last number to give me the average of 5? Answered by Penny Nom. 





Percentage change when you start from zero 
20060102 

From Joseph: I am not sure if my meaning for calculation for a percent change (CP/P)x100) is correct. In this case, C=10, P=0, does this mean 100 percent increase from previous period? Answered by Harley Weston. 





Percentages in our daily life 
20051223 

From Naina: what are the uses of percentages in our daily life Answered by Penny Nom. 





Mean and average 
20051222 

From Jerry: This is just a question from a degreed engineer that has a "understanding" problem. please go to http://www.metrika.com/3medical/hemoglobinm.html
At the end of the page they talk about "mean" vrs "average" there does appear to be a difference. What is it?
Answered by Harley Weston. 





Mathilda and Matthew 
20051218 

From A student:
Question: 1) The average of 12 is 5. The average of of 8 of these numbers ia 6. What is the average of the other four.
2)Mathilda is playing a mathematical game with Matthew. Each player starts from a point, then moves in a straight line to a second point,then to a third and so on. The moves are not made randomly, but are determined by a mathematical rule. The object of the game is to find the rule. It is Mathilda's turn to move on the grid . She starts at point M (3,9), moves to point N (2,4) and then to point O (0,0). Given Mathilda's rule, what could be the coordinates of the next point to which she might move?
Answered by Penny Nom. 





Percent change 
20051217 

From Marie: What is the percentage change when 1500 becomes 2000? Answered by Penny Nom. 





Percentage increase 
20051215 

From Luiz: I would like to know how much net income in % we have increased from 2005 to a 2006(projection).
2005 Net Income Actual: $1,599,887
2006 Net Income Budgeted: $2,067,339 Answered by 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. 





Percent or percentage 
20051103 

From Kenneth:
Which word should be used in the following?
Change a (percent or percentage) to a decimal.
Should the word percent be used only when a number precedes it as in 45 percent?
Answered by Harley Weston and Chris Fisher. 





Marked down 31% 
20051027 

From Virginia:
Question: How do you calculate a percentage back into a cost?
Example: $1,025.00 sale cost and I want to add 31 percent back into it for a list cost.
Answered by Penny Nom. 





The range of a data set 
20051004 

From Carmen: What is the range of this data? 36,64,37,45,53,60. Answered by Penny Nom. 





Markup 
20050922 

From Cassie: The retail price of a car stereo is $265 and the markup rate is 68%. What is the wholesale price of the car stereo to the nearest dollar. Answered by Penny Nom. 





Percent markup 
20050919 

From Dan: If a product cost $2.00 and sells for $2.00 there is 0% markup
If a product cost $2.00 and sells for $4.00 there is a 100% markup
If a product costs $2.00 and sells for $6.00 there is a 200% mark up which I don't understand I would think that the markup would be 300%
If a product costs $2.00 and sells for $8.00 there is a 300% mark up " " " " " " " " " " 400% Answered by Claude Tardif. 





Percentage increase 
20050919 

From Dory: Last year sales was 120,000 $ and this year sales is 280,000 $, there was an increase in sales. what I would like to know is the percentage increase between the years with the formula. Answered by Penny Nom. 





What is 3% OF $200.00? 
20050914 

From Glenda: What is 3% of $200.00? Answered by Penny Nom. 





Is this percentage change or percentage increase? 
20050815 

From Betty: When calculating a percentage, if the formula is
A(new)  B(old)/A(new)
Is this percentage change or percentage increase? Answered by Penny Nom. 





How many tiles do I need? 
20050720 

From Jeannette: I am putting up backsplash tile in my kitchen and I need to know how many tiles I would need to use for about 45 square feet using 4x4 tiles. Answered by Penny Nom. 





10% of $50 
20050716 

From A student: If I had $50 and 10% of it had to go to my mother, how much would I have left? Answered by Penny Nom. 





A percentage of the whole 
20050716 

From A student: two people both own property and would like to combine their properties into one. the first person contributes 1 acre and the second person contributes 1.5 acres. of the whole, how much percent does the first person own? Answered by Penny Nom. 





What percent of 100,000 is 629.77? 
20050708 

From Someone: What percent of 100,000 is 629.77? Answered by Penny Nom. 





Percent change 
20050701 

From Betty: Can you tell me the difference between Percentage Change, Percentage Increase, Percentage Difference and please give an example of each, I am very visual. Answered by Penny Nom. 





Profit of more than 100% of cost 
20050622 

From sam: I know I can work out what percentage profit I am making by : profit/cost x 100, and I can work out up to 99% profit (the way I currently calculate it is profit x 1.99) But how do I work out any amount over 100%, say for instance I have something that costs me $0.52 that I wish to sell for 250% profit? Answered by Penny Nom. 





20% profit 
20050612 

From Shawn: If I know that I will be paid, say, $150.00, for labor, and I want to make
20% profit on what I pay for the labor, what is the calculation and factoring
process?
I see it like this
(x*.2)+x = 150
but I don't know how to factor it out from there. Answered by Penny Nom. 





The size of a lot 
20050609 

From Bob: Is it possible to determine the square footage and acreage of a residential lot that's straight on 3 sides, and triangular on the 4th side?
As shown in the crude sketch below, the two legs of the triangle at the back end of the lot are 61' and 62'. Answered by Penny. 





Cost price 
20050525 

From Sunitha: What is (how to calculate) the cost price of a product which is markedup by 15% and retailed at $25? Answered by Penny Nom. 





A triangular lot 
20050521 

From Linda: I am looking to purchase a piece of property, and I need some help trying
to figure out the square footage of the land. I know that
normally if I multiply the length and width I could get my answer. However,
this piece of land is an odd shape and has 3 measurements. Can you
please help me.
The measurements for this piece of land is:
97.8'
201.2'
139.7' Answered by Penny Nom. 





A 5% increase 
20050427 

From Debra: How can I determine the increased percentage of a dollar amount? I.e.: One dollar amount is $202 and another is $150, how can I determine the 5% increase from last year on the $202 dollar amount? Answered by Claude Tardif. 





40% profit 
20050419 

From Carol: Could you please tell me the formula to calculate for example a 25% profit on cost.
I.e a sandwich cost .75p for the cost of ingredients, I wish to make a 40% profit on that cost so what do I multiply and divide it by to arrive at the selling price in order to achieve a 40% profit? Answered by Penny Nom. 





Percentage increase 
20050419 

From Tom: What is the percentage increase from (negative $9262.00) to (positive $3840.00)? Answered by Penny Nom. 





A 25% markup 
20050407 

From Jason: I want to markup $2.00 by 25%...How do I do this??? Answered by Penny. 





The benefits of saving for retirement 
20050311 

From Nick: A human resources department wants a report that shows its employees the benefits of saving for retirement. Produce a report that shows 12 predicted retirement account values for each employee  the values if the employee saves 5, 10, or 15% of his or her annual salary for 10, 20, 30, or 40 years. Assume that savings grow at a rate of 8% per year. Not really interested in answers, just the equations to solve the problems. Answered by Penny Nom. 





Reverse pecentage 
20050301 

From Nathan: Question for you. If I have spent $10.00, what is the mathamatical equation to
figure out what the G.S.T (7%) was?
Also if I were to spend $80.00 on a hotel, and I would like to know how much
G.S.T (7%) and how much provincial tax (6%) I spent how would I go about this.
Answered by Penny Nom. 





$14k is 22% of ________ 
20050219 

From A parent: When one knows the
percentage, and a known number, how is the unknown total figured? In other
words, I know that $14k is 22% of what number?? Answered by Claude Tardif and Penny Nom. 





Sales before tax 
20050209 

From Lynda: I know my total sales for the month, which includes sales tax. How do I get to the sales dollars before the sales tax? Answered by Penny Nom. 





Cost before the markup 
20041123 

From Norman: the sum of eg $130 includes the markup of 30%.
However I need to calculate the percentage to apply to the $130 to assess the cost ie $100. Answered by Penny Nom. 





A 40% reduction 
20041110 

From Cathy: I'm having trouble figuring out how to figure a percentage??? it's easy to find what 40% of any given number is, but how would i accurately figure out what is the final number is when i know the number after the 40% has been removed? when i add 40% to this number it obviously is lower than it should
be. the best i could figure is;
x=?40% > x?=40% i'm all confused???? Answered by Penny Nom. 





42.5 is what % of 170? 
20041105 

From Dawn: 42.5 is what % of 170? Answered by Penny Nom. 





Adding 3% to get 120,000 
20041102 

From Shaun: I was asked a question by a friend of mine's kid. He asked me if you had a final figure of say 120,000, how do you work out the amount you started with if you added 3% of the starting amount, to the starting amount to get the 120,000.
Answered by Paul Betts. 





A 40% increase in garage space 
20041020 

From Dianna: A bus company recently expanded and no longer has enough room in its garage for all of its buses. Twelve of the buses have to be stored outside. If the company decides to increase their garage space by 40%, this will give them enough room for all of their current buses, plus enough room to store another twelve in the future. How many buses does the company own? Answered by Penny Nom. 





A square footage problem 
20041019 

From Jerome: I have a peice of property that is almost a triangle but not exactly about 280 frontage with the side lines at 228 and 237
I was told I had about one acre plus a little, a developer says I have 33,000 sq ft. and I would like to know what the real result is Answered by Penny Nom. 





$25,000 at 11% per year 
20041013 

From A student: suppose u have $25,000 to invest and the interest rate at your bank is 11%.
1) how much money would you have at the end of EACH of the first four years?
1) i already kno that the first year w/ interest is $27,750 but how do i get the 2nd? 3rd? 4th? years? Answered by Penny. 





37% 
20040926 

From Andrew: how do we change 37% into a fraction Answered by Penny Nom. 





Wages for one month 
20040920 

From Janet: if offered $10,000 or 1 cent on the first day and then doubled daily for one month which would you take ? Answered by Harley Weston. 





Payment plus interest 
20040914 

From Penny: Brian wants to borrow some money from Margaret.
After three years he is to pay X back plus one interest sum of 25%. If he is pays back a total of $3800, what was the original sum borrowed? Answered by Penny Nom. 





105.6 is a discount of 12% from x 
20040910 

From David: If I know that 105.6 is a discount of 12% from x, how do I find x?? Answered by Penny Nom. 





Half way between 
20040908 

From Ben: Find the number halfway between the number shown
751,843 Answered by Penny Nom. 





Percentage change 
20040830 

From Lauren: if egg A weighed 55.4g and after 2 days it weighed 60.9g how could i calculate the percentage change in weight? Answered by Penny Nom. 





69 is what percentage of 113 
20040828 

From Mary: How do I work out what percentage of 113 69 is? Answered by Penny Nom. 





Percentage of a quota 
20040826 

From Jenni: I have the year to date sales of $2,042,744 and the quota is $2,257,440, how do I figure the percent quota. Answered by Penny Nom. 





The area of a lot 
20040822 

From Cassie: I'm in the process of purchasing some land and I'm trying to figure out the square footage of the property. Unfortunately, it's be a while since I had to remember this type of formula. The property is 140 ft on left side, across the back it is 220.61 ft, the right side is 167.52 ft, the frontage is 105 ft. Answered by Penny Nom. 





Percentiles 
20040815 

From Gary: Table 1
Selected percentiles for family income in the US in 1992
1 $1,300
10 $10,200
25 $20,100
50 $36,800
75 $58,100
90 $85,000
99 $151,800
Q. The percentage of families in Table 1 with incomes below $58,100 was about? Answered by Penny Nom. 





2.79 acres 
20040811 

From Helen: What would the square footage be of 2.79 acres? Answered by Penny Nom. 





Percentage markup 
20040604 

From A parent: if our cost is 54.00 and their cost is 117.00 what is the percentage of mark up? Answered by Penny Nom. 





English 
20040527 

From Chang: well my question is i was told by most of the teachers that ''think in english'' is the best way to learn english but how can i do like that do i need to know about the stucture first or do i need to learn the western culture ?
here is a sentence i have translate directly from my mother language.'' i was given an admiration of sincerity from this client on the follow up action i have done in the complaint. Answered by Claude Tardif. 





Percent difference 
20040410 

From A parent: For a school science project, my son Alex is taking measurements of plant growth at regular intervals. As part of the data, he must provide the maximum percent difference observed in the categories his team has identified.
So, for example he has six plants with four measurements each. (He has more, but I'll keep it simple) For the first plant he measured 2mm, 2.4mm, 2.9mm, and 3.2mm. For the 2nd, 3rd, and 4th plants, he has similar numbers. Is there a way to calculate the maximum percent difference between any two plants in his measurements during the project? Doing it for each combination would be tedious. Answered by Penny Nom. 





Differences in percentages 
20040406 

From Jose:
Question:
You have two groups:
Group A has 10 people and 2 are Chinese
Group B has 12 people and 3 are Chinese
In terms of percentages what is the difference in Chinese between the two groups? In other words which group has the biggest percentage of Chinese and why?
Answered by Penny Nom. 





Percentage difference 
20040328 

From Someone: what is the percentage difference between 157 to 251 Answered by Penny Nom. 





GST and PST 
20040226 

From Mallory: I was absent on the day that my teacher taught the class how to find the GST and PST of items. I sort of understand that GST is 7% and PST is 7.5%, but our teacher said that we shouldn't combine the two to find the total amount... I'm really confused, so can you please help me?& Answered by Claude Tardif. 





Profit, markup and discount 
20040222 

From Kick: Using the calculation on your website, if I sell something for $885 and my cost is $296, I make $589 profit. How do I calculate the profit percent I made on that transaction?
Profit as a percentage of what it cost me?
Profit as a percentage of what I sold it for?
Answered by Penny Nom. 





Profit 
20040212 

From Mohamed: if i bought some thing with 100$ and the saller told me that his profit was 30% how can i know the actual price of the good Answered by Penny Nom. 





The incline of an exercise machine 
20040202 

From An exerciser: This is a question about incline percentage. On an exercise machine if the elevation is raised 3 and one half inches from a level position then what would be the incline percentage? Answered by Penny Nom. 





The square footage of an acre 
20040112 

From Paul: What is the square footage of an acre of land assuming all four sides are
equal in length. Answered by Penny Nom. 





Percent increase 
20031224 

From Frank: How does one figure the percent of increase or decrease in the cost of an item? Answered by Penny Nom. 





Adding percentages 
20031219 

From Paula:
How do you add percentages
e.g 90% + 80% + 60% + 54% + 25% = ?
Answered by Penny Nom. 





Prescription drug coverage 
20031204 

From Khadijah: Last week congressional approval was given to legislation involving prescription drug coverage for seniors. One summary of the legislation explains that it is estimated that in 2006 a senior will pay a premium of $35 per month, then pay their first $250 in pharmacy bills. After the bills reach $250, the coverage would pick up 75% of their bills that bring their total bills between the $250 and $2250 mark. After their bills reached a total of $2250, the senior would be responsible for all bills bringing their total annual bills between $2250 to $5100. Then any bills after the $5100 mark has been reached will be 95% covered by the insurance. Using this information, letís analyze the situation of a senior who accumulates $6000 in pharmacy bills over one year and has the insurance coverage. Over the course of this year, how many dollars will the senior pay? Answered by Penny Nom. 





What percentage of 6 billion is 40 million? 
20031203 

From GiGi: What percentage of 6 billion is 40 million? Answered by Penny Nom. 





Markup, profit and margin 
20031124 

From Ali: I have question regarding Margins, Markups and Profit
Purchase price = $ 10.00
Margin or Markup ?? = 40 %
Therefore Selling Price = 10/0.6 = $ 16.67
Profit ? = (16.6710)/10 *100 = 66.67%
or is the profit = (16.6710)/16.67*100 = 40 %
Can you please clarify What is Margin, Markup and Profit Answered by Penny Nom. 





962 Sq. Ft. is what percent of 2656 Sq. Ft 
20031120 

From Jon: 962 Sq. Ft. is what percent of 2656 Sq. Ft 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. 





X bar 
20031104 

From mary: Remind me what this means:
_
X
Answered by Andrei Volodin. 





Means 
20031028 

From Abdu:
Question: 80,80,84,85,88,92,97,98 The average of the 8 numbers listed above is 88. Of the following which pair of numbers could be removed from the list without changing the average. A. 80 and 97 B. 80 and 98 C. 84 and 92 D. 84 and 97 E. 85 and 92 Answered by Andrei Volodin and Penny Nom. 





Knitting gauge and felting 
20031027 

From Sara:
I wish to create a pattern to knit an item that will then be felted, thus, shrink as a result. In order to determine the proper gauge to use in creating the item, I produced a gauge swatch, noted the original properties and then the postfelting properties. They are as follow: Before Felting: 20 stitches(width) x 20 rows(height)yielded: Gauge: 3.2 stitches(width) and 4 rows(height) = 1" Dimensions: 6.25"(width) x 5.25"(height) After Felting: 20 stitches(width) x 20 rows(height) Dimensions: 4"(width) x 3"(height) How do I calculate the percentage change in size to accurately determine the number of stitches and rows needed to produce the desired dimensions for the finished (felted) item? Answered by Penny Nom. 





Maine and Nevada 
20031024 

From Jimmy:
From 1989 to 1990, the population of Nevada increased b y 157,000, and that of Maine increased by 30,000. In 1990, the population of Nevada was 1,206,152, and that of Maine was 1,233,223. If the populations of the two states continue to increase at the same rates, when will the populations of Nevada and Maine be the same? Write a verbal model for this problem Write an equation for the model Solve the equation and answer the question. Answered by Penny Nom. 





Why percentage? 
20030903 

From Vicky: My cousin aske me a question about the use of percentages and I'm not sure how to answer it. He wants to know why when there is a sale in a shop we use percentages and not fractions or decimals. Answered by Penny Nom. 





Percentage markup 
20030903 

From Virginia:
I am confused and hope you can help. I have looked high and low for a "chart" persay to go by when I am having to calculate markup percentages. Example if I have a List price of $1838.00 and my cost is $955.76 and I want to mark it up 30%. My colleage says it should be divided by .7 I don't understand how he arrives at .7 from 30 percent. Answered by Claude Tardif. 





Profit margin 
20030903 

From Chet:
My salesman calculates a customers profit margin by dividing what the customer paid by what he sells for, then subtracting that answer from 1. For example a customer sells a product for $15. He bought it for $10. 15/10=.66 Subtract that from 1 and get a profit % of 33% Here's my question: If I want to figure what a reseller will sell a product for if he wants 40% margin(by the technique above), what formula do I use? Let's say I want to sell a product for 8.50, and I want the reseller to make 40% Answered by Penny Nom. 





20% of 40% of 500 
20030831 

From A student: What is 20% of 40% of 500? Answered by Penny Nom. 





Percentage decrease in sales 
20030731 

From Linda: If I had sales in January of 2002 that were $42,493.73 and sales that were $37,281.59.Ý The difference is $5374.50.Ý What is the percentage of decrease in sales? Answered by Penny Nom. 





Preparing 100ml of a 30% alcohol solution 
20030713 

From Justin: My question is how do you prepare a 100ml of a 30% alcohol solution using 95% alcohol? Answered by Penny Nom. 





An onsale DVD player 
20030709 

From Kim: I have a DVD player with a regular selling price of $175 and percentage of discount is 10 percent. How to solve for discount amount and sale price? Also, when you figure out the sale price how to figure out commission amount when percentage of commission is 5 percent? Answered by Penny Nom. 





A 40% markup 
20030612 

From Nick: I am attempting to determine the Retail price of an item that costs me 11.00. Our company wants to sell it at a markup of 40%. I calculated this two ways, first the way I thought it should be done. Second, the way the calculator does it (and my accountant).
 Cost + Cost*(percentmarkup/100)= retail price 11.00 + 11.00*.40 = retail price 11.00 + 4.40 = 15.40 retail price
 Using the calculators Mark Up key the answer is 18.33. Or 7.33 more than the cost or 67%.
I am confused by this Mark Up key and how it calculates. I used a cost of $10.00 and marked it up 50%. I thought it should equal $15.00 but the calculator says $20.00? This seems to be 100% markup, yes? Can you explain the difference between the way I did it and the way a Business calculator does it? Answered by Penny Nom. 





$22,534.56 is what percent of $27,820.00? 
20030604 

From Minnie: $22,534.56 is what percent of $27,820.00? Answered by Penny Nom. 





20% of 40% of 500 
20030427 

From A student: What is 20% of 40% of 500 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. 





Can a square be considered a rectangle? 
20030227 

From Carla:
Can a square be considered a rectangle? (since opposite sides are same length and parallel) Would a regular hexagon or octagon be considered a parallelogram since its opposite sides are parallel? or does a parallelogram HAVE to have only 4 sides? Answered by Penny Nom. 





Percentage change in completion rate 
20030221 

From Remo: In the year 2000 300 out of a possible 600 completed a phone survey for a total of 50% completion rate. In the year 2001 20 out of 100 possible people completed the survey when it was redone. This is a completion rate of 20% To figure out the percentage change between the years can just use the difference between the percentage figures I already have? Or can I calculate it the same as you would for nonpercentage numbers. For example you gave an example here of a salary increase from $20 to $95 being an increase of 375%. Would I solve my problem the same way expect substituting my percentages (.5 and .2) in place of $20 and $95? Answered by Penny Nom. 





Deduct 60% from $150.00 
20030221 

From Mike: How do you get this answer? deduct 60% from $150.00 Answered by Penny Nom. 





Percentage decrease 
20030220 

From Hope: What number decreased by 33^{1}/_{3}% is 30? Answered by Penny Nom. 





Two investments 
20030207 

From A student: you have $7200 in principal and invest different sums @ 10% and 14%. You receive 920 at end of term. (one year)What amounts are invested at what rate? Answered by Penny Nom. 





A 15% markup 
20030207 

From Holly: what is 15% markup of 58.89? please show equation and why? which is correct? 58.89 divided by .85 or 58.89 times 1.15 Answered by Penny Nom. 





25% more 
20030116 

From Charlie: If I buy something for $10 and want to sell for 25% more, do I multiply by 1.25 or divide by .75? Or another way  why do I get $13.33 when dividing by .75 ? Answered by Penny Nom. 





Averages of Averages 
20021221 

From Amy: If in the month of October the % of Payments Received was 80.74% and in November it decreased to 69.36%. Can you take the 80.7469.36/69.36 to get the % of difference. In otherwords can you take the % of difference when the numbers you are comparing are %'s???? Can you also take an average of an average? For example, average number of payments received in October was 25.00%, average number of payments received November was 50.00%, and the average number of payments received in December was 15.00%. Do you average (25.00%, 50.00% and 15.00%) or do you have to go back to the numbers that calculated the averages. For example, October 25.00% was based on 25 payments being received out of a possible 100. So instead of taking the average of the averages, do you take the average payments and the average customers over the 3 months and calculate the average??? Answered by Harley Weston. 





20% of 40% of 500 
20021219 

From Richard: What is 20% of 40% of 500? Answered by Penny Nom. 





Tiffany plays first board for her middle school chess team 
20021202 

From Patty: Tiffany plays first board for her middle school chess team. Since she joined the team last year, she has won 27 of 51 tournament games. That's a winning percentage of about 53%. If Tiffany went on a winning streak, how many games would she need to win in a row to raise her winning percentage to 60% Use variables and equations to communicate the method you've used to solve the problem. Answered by Penny Nom. 





What percent is the same as three eighths? 
20021121 

From Katelin: What is the percent of three eight's? Answered by Penny Nom. 





A 40% markup? 
20021115 

From Amy: Please help? I own a basket and bouquet company, I have two retail stores with a markup of 40% on the price of the items I sale to them. I do not understand their conversion chart and I hope you can help me. A bouquet that I sale for $12.50 wholesale to the retail is marked up at a rate of 1.675 or (40%). I do not understand how the calculation of 1.675 is arrived at ... how is this 40%. I was told to multiply my wholesale price of $12.50 X 1.675 and I would arrive at the markup price of 40% the retailer would sale the item for. Answered by Penny Nom. 





A bus is 60% occupied 
20021109 

From Joe: A bus with a seating capacity of 60 people is 60% occupied. At the next stop onethird of the people get off the bus and 3 people get on the bus. The bus is now ___% occupied. Answered by Penny Nom. 





The percentage grade of that hill 
20021105 

From Cathy: If there is an 80ft climb over a kilometer(about 3280ft) what is the percentage grade of that hill? Answered by Penny Nom. 





Averaging grades 
20021024 

From Richard: I'm using a grading program for the first time this year. (ok, that's not a question) I require my students to record their grades in a Scorekeeper when they get them back. I'd like to know if my students can keep up with averaging their grades just as the grading programs automatically averages them when I put them in the spreadsheet. Answered by Penny Nom and Claude Tardif. 





A sale price 
20021015 

From Chester: A jacket is on sale for 32% off. Find the original if the sale price is $89.00 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. 





How do start from 2700 and get 35% back out? 
20020909 

From Dennis: 2000 x 0.35 = 700 + 2000 = 2700 How do start from 2700 and get 35% back out? If I have 2700, how do I figure out that 35% of 2000 is 700 and adding the two them together will get me 2700? Answered by Penny Nom. 





Sole Mates Shoes 
20020819 

From Robert: Sole Mates Shoes has expenses of $9,592 per month. What must the store's total income be if it is to make a profit of 12%? Answered by Penny Nom. 





Percentage 
20020720 

From Sally: If 20% of 100 is 80, then why is the percentage difference between 80 and 100 25%. Answered by Penny Nom. 





The mean distance travelled 
20020607 

From A student: If Rosalia travels 1000 km Sheree travels 280 km Daniel travels 50 km Mica travels 200 km Connor travels 500 km Eric travels 250 km Hillary travels 300 km What was the mean distance travelled? How do you arrive at the answer? Answered by Penny Nom. 





The average of two averages 
20020522 

From RJ: in a class with 22 students, the average garde on an exam was 68%, in another class with 32 students, the average grade on the same exam was 78%, what was the overall for the two classes? round your answers to the nearest whole number. Answered by Leeanne Boehm. 





On which assignment did I do better 
20020517 

From Denise: I have 2 writing assignments in class. The first assignment, which had a mean of 10 and a standard deviation of 2, I got a score of 12. The second assignment had a mean of 18 and an s.d. of 3, I got a 21. I need to know which assignment did I do better, relative to my classmates? Answered by Andrei Volodin. 





The Dugout, Don's Basement, Cd Corner,... 
20020430 

From A student: The Dugout, Don's Basement, Cd Corner, Harry's Deli, Bill's Software, Anne's Footwear, and Joanne's House cleaning. The gift certificates are each in multiples of $5. There is a $100 range in the value of the gift certificates, which start at $25. The mean value of all seven gift certificates is $80, and the median and mode are both $70. The certificate from The Dugout is worth the most and the one from Joanne House cleaning is worth the least. The total value of the gift certificates from CD Corner, Harry's Deli, and Anne's Footwear is $270, but Anne's Footwear certificate is worth $50 more than the one from Harry's Deli. The Cd Corner gift certificate is equivalent to the mean for this group of three. What is the value of the gift certificates from each store? Answered by Penny Nom. 





How much of that total is G.S.T? 
20020424 

From Darlene: If I have $1700.00 how much of that total is G.S.T? not 1700.00 + gst ____ + _____ gst = 1700.00 Answered by Patrick Maidorn. 





Problem solving 
20020420 

From Kathy:
 Zachary wanted to run the shoreto 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?
 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. 





Ratios 
20020417 

From A student:
 Medication is givin at 1cc. per 20 pounds of body weight. A dog weighs 16 pounds how many ccs. of medication does the dog get?
 Dr. Lee wants you to prepare 1000 ml. of a 10% dextrose solution in lactaed ringers for diuresis or a patient you have a 1 L bag of lactated ringers and 500 ml of 50% dextrose for injection. How would you prpare the solution?
Answered by Penny Nom. 





Calculate profit 
20020413 

From Allison: If I sell something for $75; and my cost is $40, I make $35 profit. How do I calculate the profit percent I made on that transaction? Answered by Penny Nom. 





Sodding the yard 
20020408 

From Craig: my parents want to lay sod in our back yard. the sod cost $2.00 per square foot. The size of our yard is 20x20 and 26x41 Answered by Penny Nom. 





Area of an octagon 
20020401 

From Someone: What is the actual square footage of a 12' octagon? Answered by Penny Nom. 





Range of values for standard deviation 
20020322 

From Susan: What is the range of values for standard deviation? Is it between 0 and +3? Is it between +1 and +3? Answered by Andrei Volodin. 





Testing a hypothesis 
20020314 

From A student: A large distriutor of cosmetics has kept his outstanding accounts receivable to a mean age of 18 days over the past year. This average is considered a standard by which to measure the efficiency of the credit and collections department. Management wishes to check if receivables in the current month is over standard and will do this at a significance level of 0.50. A random sample of 100 accounts yields an average of 20 days with a standard deviation of 9 days. what should management conclude? Answered by Andrei Volodin. 





3 5/8 and 2 1/4 
20020313 

From Shirley: 3 5/8 and 2 1/4 what is the percentage of 2 1/4 to 3 5/8. Answered by Penny Nom. 





Percentage difference 
20020308 

From Tedd: Can you give me the formulas for calculating percentage differences between two numbers? For example: if the first number is 10 and the second number is 15, then the second number is 50% larger than the first number. However, the formula to calculate that percentage won't work if the first number is greater than the second number as in the following example: The first number is 15 and the second number is 10, with the second number being 33.3% less than the first number. Or maybe I'm mistaken and the same formula will work in both situations. Answered by Penny Nom. 





Percentage 
20020303 

From Nathan: I have two questions:  25% of what number is 195?
 42 is what percent of 112?
Answered by Penny Nom. 





The median with ties 
20020227 

From Marcel: What, exactly, is the proper way to determine the median of a set of numbers when doubles or triples of a number are part of that set? Do the doubles count as two and the triples three, or does each count only as one toward determining the median. Answered by Harley Wston. 





350 students took the math A exam 
20020222 

From Jim: at a high school 350 students took the math A exam. 82% passed the test. 40 students that failed the exam in june, took the exam in August. 70% of this group passed the August test. How many of the original 350 students have passed the exam before september? Answered by Paul Betts and Penny Nom. 





36 is 20% less than _____? 
20020213 

From Lori: 36 is 20% less than _____? Answered by Walter Whiteley. 





Number conversions and averages 
20020203 

From A student: A table has the measurements of 1.6m by 2m, how much material is needed to cover table? I converted to cm then multiplied but got an answer of 32000cm ,so I divide by 100 to get to metres  the answer was 320 which I know is wrong  please explain!! Also I need to explain in my own words what an 'average' is and I am struggling. Answered by Penny Nom. 





50% 
20020115 

From Lakarrieh: 4 is 50% of what number? Answered by Penny Nom. 





8% tax 
20020115 

From A student: total price including tax is $13359.60 8% tax was paid What is the dollar amount of tax paid? Answered by Penny Nom. 





Glasses of wine 
20020110 

From A student:
6 glasses of regular wine (12% alcohol) would equal aprox.? glasses of wine (8% alcohol)
a)9.33 b)8.5 c)7.75 d)9.0 Answered by Peny Nom. 





All of the Christmas trees are fiftyfive percent off. 
20020108 

From A teacher: All of the Christmas trees are fiftyfive percent off. Madison bought a tree and paid $103.50. Assuming no tax, what was the original price of the tree? Answered by Penny Nom. 





Fractions to decimals and percents 
20011231 

From A student: 2/5 , 4/8 , 4/10 , 3/5 , 6/8 , 7/7 (what is the decimal and percent for each)
1/5 , 1/10 , 1/8 , 1/1 (what is the decimal for each)
100 PERCENT, WHAT IS THE DECIMAL?
The ratio of boys to girls in a class is 1:4. What percent of the class are girls? Answered by Penny Nom. 





A 7% increase 
20011212 

From Lorraine: how do you calculate an old salary if the only information you have is current salary and the percentage increase received. For example if I make $15.86 an hour and I received a 7% increase, how much did I used to make? Answered by Penny Nom. 





83.3% 
20011203 

From Ellie: Please explain how a percentage like 83.3% is changed into a fractions. The answer given is 5/6 and I changed 83.3% to a regular decimal of .833, which would be 833/1000. How do they get 5/6 from that? HELP Answered by Chris Fisher. 





Original value 
20011127 

From Lisa: We are trying to find the original value of a product marked up by 10%. What is the formula to determine the original value? 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. 





Numbering pages 
20011115 

From Lucy: A printer uses 1008 digits to number the pages of a book. How many pages are there in the book? Answered by Penny Nom. 





15 % of 24.95 
20011101 

From Puzzled: How do I take 15% of a number I have forgotten Answered by Penny Nom. 





A $10,00 prize 
20011023 

From Michelle: The grand prize for winning a contest is $10,000. After 28 percent of the prize is deducted for taxes, the winner receives the balance of the prize in annual payouts of equal amounts over a 3year period. How many dollars will the prizewinner receive each year of the 3 years?(Disregard the $ sign when gridding your answer.) Answered by Penny Nom. 





The average of two polygons 
20011023 

From Irene: How can I prove that the average of two polygons will give me another one? Answered by Walter Whiteley. 





A goat in a square pen 
20011019 

From Brad: A goat is tied to one corner of a square pen 20 ft. on a side.  If the goat's tether is 10 ft. long, what percentage of the grass in the pen can the goat reach?
 What should the length of the tether be so that the goat can reach half of the grass?
Answered by Penny Nom. 





414 is what percent of 5,624? 
20011018 

From A student: 414 is what percent of 5,624? Answered by Penny Nom. 





Column doesn't add up to 100% 
20011017 

From A student: why don't some tables I'm studying in a column add up to 100%? Example: N=338, but responses to questions asked in survey I'm studying equal of 24.3, 9.8, 43.8, DON'T add up to 100%. I'm assuming that some people surveyed out of the 338 didn't bother responding, but is there another problem related to proportion or ratio being used, but improperly labeled on graph?. Note at bottom of table says: "number in parenthesis are numbers of cases" and 338 was in parentheses. I'm lost. Answered by Penny Nom. 





15 mice in 4 cages 
20011008 

From Chelsea: How can you fit 15 mice into 4 cages with an odd number of mice in each cage? Answered by Claude Tardif and Harley Weston. 





Percentage in our daily lives 
20011008 

From Natasha: What are the uses of percentage in our daily lives? Answered by Leeanne Boehm. 





David's wages 
20010924 

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. 





Ciefficient of variation 
20010923 

From Carmen: I have a question from my OAC finite class. I've come across a problem with the coefficient of variation. I have taught my students that there are no units for coefficient of variation and it can be expressed as a percent. So, for example, a set of data with mean of 5 and standard deviation of 100 would have a CV of 5%. But what happens in this situation: the mean is 4meters and the standard deviation is 0.7mm. Is the CV 1.75% or 0.00175% or 0.0175%? I've had some students change leave the units as is, change them both to mm or change them both to meters...so which is it and why? Answered by Penny Nom. 





What percent of the sports drink was drunk by the women? 
20010922 

From Rachel:
 The male track and field athletes drank 153 gallons of sports drink at the meet.
 the track and field athletes drank 255 gallons of sports drink.
 The women track and field athletes drank 102 gallons.
problem: What percent of the sports was drunk by the women? Answered by Penny Nom. 





Double bar graphs 
20010909 

From Leslie: My daughter has a homework problem in which she is graphing data from two frequency tables onto a double bar graph. The graph shows how many students worked in a program in two different years, grouped by age. In the first age group, one of the years has no students working, while there were students in that age group in the other year. Answered by Penny Nom. 





What did the girls score on average? 
20010720 

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. 





A confidence interval 
20010628 

From Murray: An investigator wants to find out of there are any difference in "skills" between full and part time students. Records show the following:
Student Mean Score Std Dev Number
   
Full time 83 12 45
Part time 70 15 55
Compute a 95% confidence interval for the difference in mean scores. Answered by Andrei Volodin. 





Monthly payments 
20010612 

From Anthony: This question is base on my interest. I would like to know the formula for calculating this example: If you borrow $10,000 from a bank with an APR of 11.7% to be paid off in 5 years, what is your monthly payment? Answered by Penny Nom. 





Buying a car 
20010606 

From Steph: How do you figure a percent. Say you want to buy a car listed for 21,500. You tell the dealer you want to pay 19,600. The dealer says they'll sell it to you for 20,450. how do you figure what the percent is between 20,450 & 19,600? Answered by Penny Nom. 





The average value of a continuous function 
20010508 

From Esther: The average value of a continuous function y = f(x) on the interval [a,b] is given by ________________? Answered by Harley Weston. 





Average speed 
20010501 

From Tom: A ship goes in one direction, west to Hawaii, at 20 nautical miles per hour and, because of the wind, makes the return trip at 30 nautical miles per hour. What is the average speed? Answered by Claude Tardif. 





Lots of coins 
20010426 

From A student: I purchase 2 million coins at 9.75 I purchase 1 milion coins at 8 what is the formula to calculate my average cost? Answered by Penny Nom. 





A few problems 
20010422 

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. 





Percents 
20010404 

From Cathy: This isvery embarassing but since math and specifically percentages was my worst subject in school here goes. If I have a figure such as 425 and that amount represents 10% of the total amount how do I find out what the total amount is? Answered by Penny Nom. 





128 percent too high 
20010404 

From A student: when pilgrims counted noses, they got a count that was 128 percent too high. if they counted 9120 noses, what was the correct count? Answered by Claude tardif. 





66:1 
20010326 

From A student: I need to know how to convert the ratio 66:1 to a percentage. I can not find an answer any where online when the second number is a 1. Answered by Penny Nom. 





Two problems 
20010323 

From James: Casey is a finanical consultant for ABC finance. She earns $456.21 weekly. Her annual group medical coverage costs $1942, of which ABC pays 65%. How much is deducted weekly for medical coverage? and: Eleanor demonstrates microwaves at the national home show. She is paid $7 for each of the first 7 demonstrations and $11 for each demonstration after 7. What is her commission for a day if she makes 12 demonstrations? Answered by Penny Nom. 





Converting percents to decimals 
20010301 

From Elliot: My math question is about Converting Percents to Decimals, here it is Convert 37 1/2 = ? Answered by Penny Nom. 





The price of a carpet 
20010301 

From Amber: i have to calculate the square footage of carpet for me room and im not quite sure how to do that. the carpet is $2.08 per sq. ft. and my room is 12x11ft. Answered by Penny Nom. 





Solve for two variables 
20010225 

From A student: How do I solve for %1 and %2 in the following formula when T1, T2 and T3 are known? %1 and %2 are ratios of the same element, therefore %1 + %2 = 100%
(%1 x T1) + (%2 x T2) = T3 Answered by Penny Nom. 





Winning percentages 
20010221 

From Mike: TEAM A WINS 55% OF GAMES PLAYED TEAM B WINS 40% OF GAMES PLAYED AGAINST THE SAME OPPONENTS WHAT WINNING PERCENTAGE SHOULD BE EXPECTED WHEN TEAM A PLAYS TEAM B (NEUTRAL SITE)? Answered by Harley Weston. 





Working on commission 
20010217 

From Jay: Ron the realtor is offered a job directly out of realestate school. He has a choice as to which way he will receive his salary the first year.
Salary Plan 1: He would receive a base pay of $2000 per month plus a 3% commission on each sale.
Salary Plan 2: No base pay but a 6% commission on each sale.
Write an equation to determine when it would be better to switch from the first plan to the second plan. Give a one or twosentence answer that includes Ron`s sales in a month. Round to the nearest dollar, if necessary. Answered by Leeanne Boehm and Penny Nom. 





Percentage increase 
20010217 

From Bob: If sales for jan 2001 are 154 vs 105 for 2000  the increase total presented to my office is +46%  how does that compute. Please give me the equation. Answered by Penny Nom. 





percent 
20010211 

From A student: what is 1.5% of 20386.01? Answered by Penny Nom. 





Cincinnati to WinstonSalem 
20010123 

From Belinda: Joan Bedney travels from Cincinnati to WinstonSalem at an average rate of 40 miles per hour and returns at an average rate of 60 miles per hour. What is her average speed for the trip? Answered by Leeanne Boehm and Claude Tardif. 





25% mark up 
20010120 

From Vivian: If it costs me $100.00 to manufacture an item and I want to sell it at a 25% mark up, why do I get different answers when I perform the operation the following ways? 1. $100.00 x 25% = $25.00 $100.00 + $25.00  $125.00 2. $100.00 / .75 = $133.334 Should these two not be equal? Answered by Penny Nom and Claude Tardif. 





30% of 80 
20010103 

From Denise: Could you please tell me what 30% of 80 is? Answered by Penny Nom. 





Calculating the tax 
20001222 

From A grocer: I have a small grocery store. I have a bag of money containing $325. This represents the mornings receipts and a tax of 5.75% is included in the total. How can I separate the gross take from the tax take so that I'll know how much is mine and how much is the state's? Answered by Penny Nom. 





What is the difference between Mean and Average? 
20001213 

From Julie: What is the difference between Mean and Average? My thinking is the average, is the equal to the sum of all numbers divided by the number of numbers added together. But the mean, I think should be calculated by adding the largest and smallest numbers in the set and them dividing by 2. (which is the point where 1/2 the numbers are higher and 1/2 the numbers are lower) Answered by Patrick Maidorn and Penny Nom. 





Calculating your grade 
20001204 

From Jack: I got an 80 on test 1 and a 65 on test 2. The first test is worth 35% of our total grade and the second is worth 40%. What is my grade right now? Answered by Penny Nom. 





Expected number 
20001102 

From James: 1)There are 40,25,50 students in the traditional,reformed,and reformed traditional Calculas sections taught by three teachers. On one fine day the three sections congregate together to watch the NOVA video tape on Fermat's Last Theorem. a) A student is randomly selected from he crowed of students.What is the expected number of students in the same section of this student? ****this question which i did not have any idea to do as follow for the part b b) If one of the three teachers is selected at random, what is the expected number of students taught by is teacher? Answered by Harley Weston. 





Two problems 
20001102 

From Michael: Question: I mistakenly divided a number by 5 when I should have multiplied by 5. FInd my percent of error. Next Question: How many odd numbers are between 10 and 9,999 from the digits 09 if each digit is used once per number. Answered by Penny Nom. 





The ages of three daughters 
20001025 

From Andrea: An encyclopedia saleman call at a home. The woman who answers the door says she will buy something from him if he can give the ages of her three children. The first clue, she says, is the three ages multiplied together equal 36. he responds that he needs more infomration, so she says that the threee ages add up to the number of the bus that passed by (the prof did not give us this number) He thinks for a while and says he needs one more clue. So she says, my youngest child has red hair, and he is able to answer and make the sale. what are the ages of the three children? (hint: the salesman needed all three clues to get the answer). Answered by Penny Nom. 





Mr. Edgecomb's math exam 
20000917 

From Rachel: In Mr. Edgecomb's math class, 30 students took an exam on statistics. If the average passing grade was 84, the average failing grade was 60, and the overall average was 80, how many students passed the test? Answered by Penny Nom. 





Central Limit Theorem and Law of Large Numbers 
20000626 

From Jonathan Yam: The Central limit Theorem states that when sample size tends to infinity, the sample mean will be normally distributed. The Law of Large Number states that when sample size tends to infinity, the sample mean equals to population mean. Is the two statements contradictory? Answered by Paul Betts and Harley Weston. 





A percentage question 
20000615 

From Michael Smith: I need a percentage for a business plan. How much is onepercent of twohundred and thirtynine million? Answered by Penny Nom. 





Percents with mixed numbers 
20000604 

From Julie: How would you find the percent of 33 1/3 out of 90 by using fraction settup!I can do whole numbers but not mixed. This is how to do whole numbers say it was 33 of 90 33 x 90 = 2970 100 x 1 = 100 2970 divided by 100 the answer is 29.7 so how do you do it with a mixed number Answered by Penny Nom. 





The Village of Truth 
20000510 

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. 





Probability and odds 
20000505 

From Leah: The chances of rain on friday, saturday, and sunday are 20%, 30%, and 50% respectively. what are the odds it will rain all three days? Answered by Harley Weston. 





What percent is one fraction of another fraction? 
20000429 

From A student in grade 4: What is the method for finding out what percent one fraction is of another fraction. For instance 4/5 is what percent of 1/9? Answered by Penny Nom. 





The weight of a watermelon 
20000425 

From Lori Speir: If I have a 100 pound watermelon and it is 99% water. If it sits out in the sun all day and is now only 98% water what does it weigh now? Answered by Penny Nom. 





Sample variance 
20000416 

From Jonathan Freeman: I was just reading your article entitled "A Note on Standard Deviation" I'm now teaching a unit on s.d. and my students were wondering why one uses a denominator of n for a population and n1 for a sample. I saw in your article that this is because "[the quantity] tends to underestimate sigma... and other technical reasons." To which my students again asked... "Why?" Could you please elaborate a bit on the "other technical reasons" perhaps in terms a high school senior (or their teacher...) could understand? Answered by Harley Weston. 





42% of 70 
20000407 

From Nikkie: What is 42% of 70? Answered by Penny Nom. 





Wholesale price 
20000402 

From Lynda Bintz: If a product is priced at $4.99 and is marked up 40% how do I calculate the wholesale price? Answered by Penny Nom. 





Word problems 
20000331 

From Amy: Question:  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.
 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. 





The world of percentage. Price tags everywhere 
20000327 

From Lydia: I know there is a formula to be utilized for finding the percentage of a number, like most math. You just simply need to remember the formula for finding the number. Please put me on the path. How does one figure out 10% or 15% of a total number asked? Say... 120 Reverse: 15 is what percent of 120, I know the answer should be the same but how is the formula applied? Answered by Harley Weston. 





Increasing the weight 
20000323 

From Lee Millard: A weight of dimension a, b is to have its weight increased by w% by bolting plates of the same material along the top and one side (but not at both ends). The top plate and side plate have the thickness, x. Find the thickness of the plates for a given weight increase of w%. Answered by Penny Nom. 





Travelling from A to B 
20000320 

From Matt: A car is traveling from point A to point B. Point A and point B are 30 miles apart. A car travels 30 miles an hour from point A to point B and then goes back to point A. How fast does the car have to go back to average 60 miles an hour? Answered by Claude Tardif. 





Box and whisker plots 
20000309 

From Brett Blake: Do you have any information on Box and whisker graphs? Answered by Harley Weston. 





Folding a page 
20000301 

From Krista Bischoff: One corner of a page of width a is folded over and just reaches the opposite side. Express L, the length of the crease, in terms of x and a. I can't get the picture to copy to this form so I guess I will have to try and describe the picture the best that I can. The top right hand corner is folded to the left side, almost half way down. The width of the paper is a ( the width of the bottom part which is not folded.) The creased side is L and the part shorter part of the folded area is x (the part that would have been the top right of the original piece.) Answered by Chris Fisher. 





Percentages with decimals 
20000206 

From Andrew Connell: I need help with these math questions: How does one convert a percent to a fraction when the percent has a decimal (example86.5%)? Answered by Penny Nom. 





Percent of improvement 
20000130 

From Steve Quigg:
In a 1998 survey, 21% polled responded favorably to a question. In 1999, 31% responded favorably. What is the percent of improvement? Answered by Harley Weston. 





Counting guppies 
20000126 

From Sarah Albaugh: Out of 200 fish, 99% are guppies. How many guppies must be removed to have 98% of the remaining fish to be guppies? Answered by Penny Nom. 





Bar graphs and histograms 
20000111 

From Raeluck: What is the difference between a bar graph and a histogram? Answered by Harley Weston. 





Percentages 
20000109 

From Nancy:
What is the best way for a parent to explain how one calculates percentages? ie. Commission is $54268. Total Sales $403114.00 from that number how do you calculate the percentage of sales of various expenses. Answered by Penny Nom. 





.400 in Baseball 
19991215 

From Nieve Nielson: I have several questions to ask about the probability of getting a .400 in baseball:  What is the probability of a baseball player hitting a .400 in one game, considering that the hitter is up to bat four times?
 What is the probability of a baseball player hitting a .400 in a season, considering that there are 100 games in a season? With the first two questions in mind:
 Considering that baseball has been around for about 100 years, about how many people should hit .400 inthat time?
Answered by Chris Fisher. 





Percentage change 
19991208 

From Michael Weinberg: I am the Laboratory information system supervisor in a hospital. Our computer system calculates the change of specific results to monitor a patient's status. But there is a problem with the calculation in the base code of the program. If one day the patient has a Blood count of 100 (P for Previous) then the next day the Blood count is 75 (C for current), the computer should calculate the change as 25% using the calculation PC/P= D (D for Delta) and then check for positive or negative by the equation If P>C then D*1 or If P The program is calculating using the equation: ((P/C)1)*100 in the above situation this would calculate the Delta as 33.33333% Referenced in a Laboratory manual published before computers were used to calculate the delta changes. . . . Answered by Penny Nom. 





Mean, median and mode 
19991207 

From J William Morning: Using the data values 2,2,10,6,5, determine the median, mode and mean. Answered by Penny Nom. 





Age in minutes 
19991121 

From Mesha Jackson: How old would I be in minutes if I were 12 Answered by Penny Nom. 





Percent 
19991116 

From Elaine Edwards: Can you please tell me what is 75% of $495.00? Answered by Penny Nom. 





The sixth game 
19991116 

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. 





Estimating the population mean 
19991113 

From John Barekman: Statitistics: Estimating the population mean when the standard deviation is known: I am not sure which n to use in the formula for the confidence interval equation: x +/ z*(standard deviation/sqrt(n)) If we have data of ten people, and if we have the data of ten sets of ten people each, what is the difference in the n that we use? What is the difference between the standard deviation and the standard error? Are we using the number of sampling means or just the number of samples? Answered by Harley Weston. 





Body part measurements 
19991110 

From V Bailey: I am a kindergarten teacher and mother of a 6th grader who wants to do a science project on the correlations of body part measurements. We heard this on the radio and it sparked our interest, but now I cannot find any information about it. Examples are: your height is supposed to equal the distance from fingertip to fingertip when your arms are outstretched. Your foot size is supposed to equal the distance from your wrist to your elbow. Please help me find more information on this topic. Answered by Penny Nom. 





A pictograph 
19991028 

From Ali: Please tell me how to make a pictograph.I am 2 grade student. Answered by Penny Nom. 





Percentage increase 
19991003 

From Ann Allen: I am a a student in the 12th grade. I need to know how to calclulate the following: A percentage increase from 2.0% to 9.5% is what percentage? Answered by Harley Weston. 





Percentages 
19990923 

From Pete Cornejo: Hello, I was wondering if you could help me with a question? Yesterday my daughter came to me and asked if I could help her solve these three problems.  18 percent of 25 is what?
 18 percent is what of 25?
 25 is what percent of 18?
Answered by Walter Whiteley. 





Predictions 
19990922 

From Joesph Dana: How do u find the results of an unbiased sample of 100 students that are shown on the table. For example the school has a total of 1,150 students prdict how many students would chose cereal(46) pancakes(15) eggs(20) and sandwich(19) Answered by Haeley Weston. 





Fractions, percents and decimals 
19990919 

From Sue Farr: My son is in 5th grade, and I can't seem to find any papers that have a simple explanation of how to convert decimals into fractions, percents into decimals, and viceversa. Answered by Harley Weston. 





Bob and his dad 
19990914 

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. 





How many went to the game? 
19990909 

From Lisa Schmidt: If 3/4 more students went to the game than actually did go to the game, 25% of all students in the entire school would have gone. What fraction of students in the entire school went to the game? Answered by Harley Weston. 





Cognitive development as related to learning mathematics 
19990804 

From Chris Ahlman: I am doing an independent study for my Math theory course at Evergreen State College, WA. I am looking into teaching Math to elementary students "as a language". I need information on cognitive development to tie to this idea of language development. I only know of Piaget. There must be others who are more recent. Can you help? Answered by Walter Whiteley. 





Three Daughters 
19990518 

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. 





RePercentaging 
19990515 

From Doug Guion: My mind has gone blank. I have a series of percentages which have been establised by the same base number. I need to remove one of the percentages (13%) leaving me with 87%. I need to arifically inflate the remaining percentages to total 100%. Any help would be appreciated. Answered by Penny Nom. 





The average rate of change of a function 
19990420 

From Tammy: Suppose that the average rate of change of a function f over the interval from x=3 to x=3+h is given by 5e^h4cos(2h). what is f'(3)? I would appreciate any help with this question. Answered by Harley Weston. 





The halfway mark 
19990420 

From Sherry & Tom McGee: How do you figure the halfway mark between 1/3 and 2/3 as a fraction and a decimal point? Answered by Penny Nom. 





Prime dates 
19990325 

From Jessica Brown: I'm asking how do you figure out all the prime numbers in a year and, whats the average amount of prime numbers per week. Answered by Jack LeSage and Penny Nom. 





Percentages 
19990316 

From Beth Barton: If I have two figures and want to know the difference between them, in Percentage, how do I proceed with a calculation? Example: 67,800  56,000 = 11,800 What percentage does this difference represent? Answered by Jack LeSage. 





Percentage markup 
19981128 

From John Coffey: My 11th grade daughter asked me how to calculate retail mark up percentages, I would appreciate any help with this question. Answered by Penny Nom. 





Three dice 
19981117 

From Ryan Allinson: Rolling three regular dice how many different ways could a sum of 10 be rolled? Hope you can help. Can you please show me how this is done? Answered by Penny Nom. 





Percentages 
19980710 

From Adam: Hi, I would like to know the basics of percentages. It is all rather confusing to me.I have excelled in math but want to be ready next year for more advanced math. What is Percentages? Answered by Penny Nom. 





Rolling a seven 
19980611 

From Bruce Thompson: What is the probablity of rolling two dice and it coming out as seven? a) 1/6 b) 1/36 please give me the correct awnser and explain please. Answered by Harley Weston. 





Percentage Question 
19980518 

From Eddie Knox: Example: If I have a recipe calling for 16 ounces of 4% vinegar (vinegar which has been diluted with water to a strength of 4%), and all I have on hand is 16 ounces of 5% vinegar, how much water should I add to decrease the strength to 4%, before measuring the 16 ounces to be used. I'll appreciate any insight and help. Thank you so much! Answered by Harley Weston. 





Mean and Standard Deviation 
19980422 

From Kit: i have a problem of maths. i think the level of the question is secondary. question: Find the mean and the standard deviation of the numbers:1, 3, 4, 5, 7. i hope u solve this question. thank you so much! Answered by Harley Weston. 





Pronunciation 
19960305 

From Todd Stienhauser: Is 123.4 pronounced "one hundred and twenty three and four tenths"or "one hundred twenty three and four tenths"? Answered by Penny Nom. 





Pourcentage 
20080602 

From ferdjoukh: un article passe de 12 euros à 10 euros.
quel est le pourcentage de réduction?
et quelle est l'opération à faire pour obtenir le résultat?
merci Answered by Antoine Letarte. 





Arithmétique modulaire 
20080110 

From hausknecht: ma grand mère a entre 60 et 80 ans.il y a un an son âge était un multiple de 3.dans deux ans son âge sera un multiple de 2,de 3 et de 9.cette année , c'est un multiple de 5.quel est l'âge de ma grand mère? Answered by Claude Tardif. 





Le pourcentage en +ou en que représent la diférence de 2 nombres 
20070429 

From Jean: pouvez vous me donner la formule pour trouver
le pourcentage en +ou en
que représent la diférence de 2 nombres ex: 8594 et 7634 Answered by Claude Tardif. 





équations avec les ages 
20061106 

From Ruffin: Sébastien dit a Aurélie: vous avez 36 ans et j'ai deux 2 fois l'âge que vous aviez quand j'avais votre âge. Quel âge a Sébastien? Answered by Claude Tardif. 





le prix de départ 
20060910 

From un élève: Une jupe coûte 36 euros après une démarque de 20% quel est le prix de départ moi j'ai trouvé 45 euros mais je n'ai pas la formule de calcul exacte Answered by Claude Tardif. 





Une énigme échelle/échafaudage(ou boite) 
20051108 

From Christian: J'ai un problème & souhaite demander votre aide pour résoudre une énigme échelle/échafaudage(ou boite) Answered by Claude Tardif. 





Partages inégaux 
20050929 

From Un eleve: Alex et julie ont ensemble 4728 . euro Si Alex donne 538. euro à Julie, ce dernier aurait alors le triple de Julie. Quelle est la somme possédée de chacun? Answered by Claude Tardif. 





J'ai deux fois l'âge que tu avais quand 
20041203 

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. 





Point de partage 
20000221 

From Sebastian Murciano: J'aurais besoin de savoir où je peux trouver de l'informations, ou estce que vous pouvez me donner de l'information sur : Point de partage d'un segment étudié en Secondaire 4. Answered by Claude Tardif. 





15 films 
19991109 

From Hebert: Un touriste revient de vacnces avec 15 films:  2 films de photos d 'Italie
 8 films de photos de Grèce
 5 films de photos de Turquie.
Aucune marque distinctive ne permet d'identifier les films. Pour des raisons financières le touriste ne fait développer à son retour que 11 de ces 15 films qu'il choisit au hasard.NB : on donnera les résultats sous forme décimale approchée à 104 près.  Combien y a t il de choix différents possibles de 11 films parmi les 15 ?
 Quelle est la probabilité que , parmi les 11 films développés, il y ait:
 ...
Answered by Claude Tardif. 

