Questions on Word Problems: Problems on percentages, ratios, and fractions answered by real tutors!

Tutors Answer Your Questions about Percentage-and-ratio-word-problems (FREE)

Question 19694: If the price of a $15 T-shirt is reduced by 1/3, how much sales tax must be paid on the T-shirt in a state having a 4% sales tax?
Click here to see answer by elima(1433)

Question 19797: Property valued at $18,000 is assessed for 2/3 of its value. If the property tax levy is $3 per $100 of assessed value per year, what is the yearly property tax bill?
Click here to see answer by wuwei96815(245)

Question 19785: If the length of a living room is 15 feet, what will that length measure in inches on a blueprint whose scale is 1/6 inch to the foot?
Click here to see answer by xcentaur(357)

Question 19783: A carpenter has a piece of lumber measuring 7 feet 6 and 3/4 inches long. How much must the carpenter saw off to be left with a piece 5 feet 11 5/16 inches long? (Note: Assume the saw cut has no width)
Click here to see answer by xcentaur(357)

Question 19693: If the price of a $15 T-shirt is reduced by 1/3, how much sales tax must be paid on the T-shirt in a state having a 4% sales tax?
Click here to see answer by Paul(988)

Question 20830: Flora had an average of 56% of her first 7 exams. What would she need on her eigth exam to get an average of 60% on 8 exams?
Click here to see answer by kapilsinghi(68)

Question 21072: A plumber charges $51 for 2 hours of work and $74.25 for 31/2 hours work. write an equation relating cost to number of hours worked.
Solution:
Let X be the cost and Y be the number of hours.
$51x=2y
$74.25=31/2y

Click here to see answer by durga@tutor(2)

Question 21071: To have a party at the sports club, you must pay $50 plus $5 per guest. Write an equation that relates the number of guest x to the cost of the party y. Use your equation to find the cost of 12 guest.
Solution:
let y denote the cost and x denote the number of guests.
($50+$5)x=y
The cost of 12 guests,
12($50+$5)=y
12*$65 =y
780$=y
cost of the party for 12 guests is 780$

Click here to see answer by durga@tutor(2)

Question 21161: 20% OF WHAT # =50
Click here to see answer by Here2Help(19)

Question 21938: If jane painted a house in 4 hours and John did the same house in 6 hours. How long will it take them to paint the house together?

If Lynn can type a page in p minutes, what piece of the page can she do in 5 minutes?

The sales price of a car is $12,590, which is 20% off the original price. What is the original price?

Click here to see answer by Paul(988)

Question 22763: Two positive numbers are in a ratio of 9 to 10. If the lesser number is decreased by 6 and the greater number is decreased by 25, the resulting ratio is 2 to 1. Find the greatest of the original numbers.

Click here to see answer by longjonsilver(2297)

Question 22960: You have 4 ounces of 20% alcohol solution. What do you need to add to make 10 ounces of 26% alcohol solution?
Click here to see answer by stanbon!(97)

Question 23068: Please help. I'm trying to assist my friend's daughter and I'm very rusty.

A river is 3,100 meters wide
There is a bridge that spans the river
1/10 of the bridge lies on one side of the river
1/8 of the bridge lies on the other side of the river
How long is the bridge

Click here to see answer by Earlsdon(6287)

Question 22530: the amount of water a pipe can allow to flow varies directly as the time it is open. If 350 gallons flow through in 20 minutes, how many hours will it takt to get 3000 gallons of water?
Click here to see answer by Earlsdon(6287)

Question 22191: Albert owns 52% of the company, Bert owns 24% of the company, Carl owns 12% of the company, and Dan owns 12% of the company. Dan wants to sell his 12% to the other three owners for $59,000.00. How much should each pay to Dan? What percentage would they now own if the ratio remains the same?
Click here to see answer by philberg99(10)

Question 23715: Janice buys 4 3/5 pounds of potatoes at $.75 perpound. What is the cost of the potatoes?
Click here to see answer by rapaljer(4667)

Question 23723: On the seventh and eighth day of each month, the store offer all merchandise at a sale price of 7/8ths of the regular price. On saturdays they give an additional 1/5 off. Steve bought a few items totalling $260 at regular price, on Friday what is his total price of the merchansdise? what happens if steve waits unitl the next day?
Click here to see answer by stanbon(57307)

Question 24023: I need help for my final exam!!!
The sides of a triangle are in the ratio of 8:10:12. If the perimeter is 75,what is the length of the shortest side?
A. 15 feet
B. 20 feet
C. 25 feet
D. 30 feet
This would mean a lot!! thanks!!!
Click here to see answer by PeterC(8)

Question 24270: An automobile radiatior contains 16 liters of antifreeze and water. This mix is 30% antifreeze. how much of this mix should be drained and replaced with pure antifreeze so that there will be 50% antifreeze?
Click here to see answer by venugopalramana(3286)

Question 24500: I am struggling with this problem. Please help. Sam Barns worked as a waiter. He earned $15,000 which he wants to invest. He invested a certian amount in a savings account that pays 5% simple intrest. He invested the balance in another account that pays 3.5% simple interest. The total amount on interest earned is $600. How much did Sam invest at 5% and 3.5%. Thamks for any help you can give.
Click here to see answer by Earlsdon(6287)

Question 24629: There are 1100 gumballs in the cyinder machine.
The Gumball machine must never be less than 20% full.
Approximately 50 gumballs are purchased each day from the machine.
Evaluate how often the company must refill the machine.
SHOW ALL YOUR WORK
Click here to see answer by stanbon(57307)

Question 24741: Three friends want to equally share five oranges, How many oranges are there for each of the friends?
Click here to see answer by stanbon(57307)

Question 24821: A 10-foot-long board is cut so that the two pieces formed have lengths in a ratio of 5/3. How long is each piece?
Click here to see answer by Paul(988)

Question 24905: After 6% sales tax was added, a T-shirt cost $9.53. Find the cost fo the T-shirt without tax.
Click here to see answer by josmiceli(9671)

Question 24910: Mayuko enlarged a picture (A) on a machine by a factor of 130%. She decided the result (B) wasn't quite large enough so the enlarged it again by a factor of 110% (C).
Part b is whan I need help with, it says:
Find the height of the other two pictures if the hight of picture B is 10in.
Click here to see answer by stanbon(57307)

Question 24996: At a certain high school, the respective weights for the following subjects are Mathematics 3, English 3, History 2, Science 2 and Art 1. What is a student’s average whose marks were the following: Geometry 89, American Literature 92, American History 94, Biology 81, and Sculpture 85?
Click here to see answer by stanbon(57307)

Question 25007: Snow is approximately 1/8 as heavy as water. How many inches of snow would it take to weigh as much as 3 1/2 inches of rainfall?
Click here to see answer by Paul(988)

Question 24899: ACME, INC., LAYS OFF 15% FO WORK FORCE: 2500 People to Lose Jobs. How many workers did Acme employ before the layoff?

Click here to see answer by Earlsdon(6287)

Question 25719: Jim rollerbladed the first 1,600 meters in 3 minutes. How long would it take him to rollerblade 10,000 meters.
Click here to see answer by stanbon(57307)

Question 25754: A shop increased the price of carpets by 25%.
Sales of carpets dropped by 25%.
Did the shop's profits from carpet sales rise or fall?
Click here to see answer by QueenVoda(11)

Question 26189: The weight of an object on the Moon would be 1/6 of its weight on Earth. An object that weights 30 pounds on Earth would weight how many pounds on the moon?
Click here to see answer by stanbon(57307)

Question 26272: Im in grade 6,
I need help on my gym/math homework. The question is: turn 2/3 into a percentage and show your work. The promblem im having is i forget how to turn fractions like 2/3 into a percentage (out of 100). Can you please get back to me A.S.A.P. Thanks!!!
Click here to see answer by ellygirl5969(8)

Question 26567: The question goes like this:
Green rivers volunteer fire department recently hosted its annual ice cream social. each of the 83 donated pies were cut into 6 pieces. at the end of the evening the cashier said they had sold 382 pieces of pie. how many pies did they sell? how many were left over? Express your answers in mixed numerals.
What i can't figure out is how to turn the answers into mixed numerals.
Thanks
Click here to see answer by Paul(988)

Question 26788: If you flipped a coin three times, what would the probability be that you would get heads on all three times?
Click here to see answer by AdolphousC(70)

Question 26786: If 7,182 roses were killed in last nights frost, and this was 2 5/8 as many as the night before, how many roses were killed the night before?
Click here to see answer by elima(1433)

Question 27282: The population of Detroit, Michigan is estimated to be 2,735,000 by the year 2000. at an annual growth rate of -o.3%, what is the estimation for 2001?
Click here to see answer by sdmmadam@yahoo.com(530)

Question 27565: amy paid 63.75 for a pair of new shoes during a 15% off sale. what was the regular price. I know the answer is 75.00 but could you show me the algebraic equation to get to that answer thank you
Click here to see answer by josmiceli(9671)

Question 27596: If Lynn can type a page in p minutes, what piece of the page can she do in 5 minutes?
so the ratio would be 1:p = ?:5
that's where I go fuzzy.
Click here to see answer by askmemath(368)

Question 27656: Please help me with this: Your employer agrees to give you a 5% raise after one year on the job, a 6% raise the next year, and a 7% raise the following year. Is your salary after the third year greater than, less than, or the same as it would be if you had received a 6% raise each year? Thank you so much
Click here to see answer by bmauger(101)

Question 28201: GOOD AFTERNOON I AM HAVING TROUBLE SOLVING THIS WORD PROBLEM:THE PROBLEM IS:
A CHEMIST HAS 4 LITERS OF A SOLUTION THAT IS 75% ACETIC ACID. HOW MUCH WATER MUST BE ADDED TO MAKE THE RESULTING SOLUTION 60% ACETIC ACID.
THANK YOU FOR YOUR HELP.
Click here to see answer by Paul(988)

Question 28408: in triangle ABC, the measure of angle C is 18 degrees greater than three times the measure of angle A. the measure of angle B is 5 times the measure of angle A. Find the angles measures.
Click here to see answer by sdmmadam@yahoo.com(530)

Question 28406: A chmistry student needs 10L of a 12% acid solution. The laboratory has an ample amounts of 10% and 20% acid solutions. How many liters of each solution should the student mix?
Click here to see answer by longjonsilver(2297)

Question 28708: What % of 160 is 80?
Click here to see answer by longjonsilver(2297)

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