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 29192: Hello,
I'm older but new at word problems. We are using labels x Per = Total to solve
this word problem.
Two clothing businesses are merged into one. At Men's Mercantile, 40% of the employees are women. At Women's Wear 80% are women. After the merger, 70% of the 2000 employees are women. How many employees were employed by each business before the merger?
Click here to see answer by bmauger(101)

Question 29341: A reduction of 10% in the price of tea enables a dealer to purchage 25kg more tea for Rs 22500.What is the reduced price per kg of tea? What was the original price per kg?
Click here to see answer by josmiceli(9661)

Question 29393: A NUMBER DECREASED BY 1/3 OF THE NUMBER IS 36. FIND THE NUMBER.

X - 1/3 = 36

DO I ADD?
Click here to see answer by longjonsilver(2297)

Question 29474: I need help on this problem: The sum of a number and 5 times its reciprocal is 6. Find the number(s).
This is what I have so far... x + 5(1/x) = 6
x + 5/x = 6
Thanks for your help!
Click here to see answer by longjonsilver(2297)

Question 29663: What is tax on $11.48, if tax is 8.125% ?
Click here to see answer by Bb(19)

Question 29720: A pancake recipe asks for three and one third times as much milk as flour. If three and one half cups of milk is used, what quantity of flour would then be needed, according to the recipe?
Thanks for your help. I've been stuck for hours
Alyson
Click here to see answer by Cintchr(481)

Question 29800: find the result of dividing 3m 8cm of ribbon in the ratio of 2:3:6
Click here to see answer by longjonsilver(2297)

Question 30496: Joe drives 20 miles in a half hour. How long will it take him to drive 50 mi?
Click here to see answer by checkley71(8403)

Question 30495: Steve's family traveled 3/4 the distance that Mike's family traveled. If Steve's family traveled 18 mi, how far did Mike's family travel?
Click here to see answer by checkley71(8403)

Question 30234: In a college, some courses contribute more towards an overall GPA than other courses. For example, a science class is worth 4 points; mathematics is worth 3 points; History is worth 2 points; and English is worth 3 points. The values of the grade letters are as follows, A= 4, B=3, C=2, D=1, F=0. What is the GPA of a student who made a “C” in Trigonometry, a “B” in American History, an “A” in Botany, and a “B” in Microbiology?
how does this work out and what type of formula do i need to use??
thank you
Click here to see answer by Nate(3500)

Question 29540: The revenue for a sandwich shop is directly proportional to it advertising budget. When the owner spent $2000 a month on advertising , the revenue was $120,000. If the revenue is now $180,000, how much is the owner spending on advertising.
Click here to see answer by checkley71(8403)

Question 28903: PLEASE HELP ASAP: One employee of a retail electronic store is paid a base salary of 1800 a month plus a 1% commission on all sales she made during the month. What was her monthly sales total if she earned a total of 1951.38 last month. PLEASE HELP ASAP
thank you so much
Click here to see answer by checkley71(8403)

Question 30802: What is the percent of increase from 1.32 to 1.44 rounded to the nearest percent...
Lots of help needed and lots more questions!
Click here to see answer by checkley71(8403)

Question 30842: When 12% of a number is divided by 15% of that number the result is 0.8 find the number.
Click here to see answer by josmiceli(9661)

Question 30907: Can you please help me with this problem? I think it's linear. It would help if you could show me how to set up the equation with step by step instructions. Thanks! ** A customer has asked a caterer to provide 60 lb. of nuts, 60% of which are to be cashews. The caterer has available mixtures of 70% cashews and 45% cashews. How many pounds of each mixture should be used to meet the customer's needs?
Click here to see answer by Paul(988)

Question 31045: The ratio of teachers to students is 1 to 20. There are 8 techers. How many student are there?
Click here to see answer by longjonsilver(2297)

Question 31305: I'm having a hard time with this word problem. I figured out the answer, but do not know how to write the equation for it. The answer is $1.80 and $.60.
Luke raises rabbits and raccoons to sell for meat. The price of raccoon meat is three times the price of rabbit meat. One day Luke sold 160 pounds of meat, $72 worth of each type. What is the price per pound of each type of meat?
Click here to see answer by mukhopadhyay(490)

Question 32459: ((( cindy has $6.05 in quarters and nickels. How many of each coin does she have if there are 53 coins in all.)))) Can you please help me set up this problem
Click here to see answer by checkley71(8403)

Question 32713: A certain commodity was sold for $2817.50 after VAT of 15% had been added. Calculate the price of the commodity before the addition of VAT.
Click here to see answer by mukhopadhyay(490)

Question 32774: Lisa wants to sell her car through a broker who charges a 10% commission of the selling price.Blue book is $14,900 but Lisa still owes $13,104.Lisa must get enough money to at least pay off the loan. What is the range of the selling price?
Click here to see answer by stanbon(57246)

Question 32852: 72 more females than males are enrolled in Archimedes High School. 60% of the students are female. What is the number of male students that are enrolled?
Click here to see answer by sarah_adam(201)

Question 33235: Dear tutors,please explain how to approach this problem:
Connie paid a sales tax of 8 percent on her purchase. If the sales tax had been only 5 percent, she would have paid $12 less in sales tax on her purchase. What was the total amount that connie paid for her purchase including sales tax?

Thanks for your help
Tolly
Click here to see answer by stanbon(57246)

Question 33723: Please ! help me about this three word problems. I ca not work out.
(1) The denominator of a fraction is three more than the numerator. If the numerator is doubled and the denominator is increased by nine, the resulting fraction is equal to ½. What is the original fraction?
From yours poor student

Click here to see answer by mukhopadhyay(490)

Question 33964: the sum of two numbers is 180. if one number is 40% more than the other what are the numbers
Click here to see answer by Paul(988)

Question 33981: The ratio of the measures of the three sides of a triangle is 3:4:6. If the perimeter is 91, find the measure of the longest side.
Click here to see answer by Earlsdon(6287)

Question 33985: Find the original price of a pair of gloves if the sale price of $35 was 20% off the original price.
Click here to see answer by ice_water35(8)

Question 34224: Help! :o( This word problem should be so simple, I know-but I'm having a hard time comprehending it enough to wright a correct expression. Here's the problem: John Debuzzi used to read p words per minute. After taking a speed reading course, his speed increased by 60 words per minute. Write an expression that represents his new reading speed.
Click here to see answer by ichudov(499)

Question 34457: On the first day of school, the percentage of boys in a particular class is 60%. During the school year, six girls move away, and are replaced in the class by six boys; this makes the class roster 75% boys. Find the number of boys and girls in the class on the first day of school.
Click here to see answer by lyra(94)

Question 34432: Can you help me solve this problem.
Solve problem by factoring.
92. Area of painting. A rectangular painting with a width of x centimeters has an area of x^2 + 50x square centimetere. Find a binomial that represents the lenght.
94.Amount of an investment. The amount of an investment of P dollars for t years at simple interest rate r is given by A = P + Prt.
Click here to see answer by stanbon(57246)

Question 34253: This chart shows the fees for an 18 hole round of golf for each of the last 5 years at a local municipal golf course. Assume that this chart defines a function with the name of f. State the domain of f.
Year 1995 fee =$21
Year 1996 fee =$23
Year 1997 fee =$26
Year 1998 fee =$26
Year 1999 fee =$30

A) {(21, 1995),(23, 1996), (26, 1997), (26, 1998), (30, 1999)}
B) {1995, 1996, 1997, 1998, 1999}
C) {(1995, 21), (1996, 23), (1997, 26), (1998, 26), (1999, 30)}
D) {21, 23, 26, 30}
Click here to see answer by stanbon(57246)

Question 34677: Find the length of a rectangle meeting the specified conditions: The perimeter is 210 feet and the length is 110 percent of the width. You have to put ft after your answer
Click here to see answer by Paul(988)

Question 34770: If the ratio of men to women on the track team is 4/5, and there are 16 men on the track team, how many women are on the track team?
Click here to see answer by checkley71(8403)

Question 35351: A price decreased from $85 to $72.25. Find the percent of decrease.
Click here to see answer by narayaba(40)

Question 35460: 1/9 of the people in a stadium are men. 3/8 of the remainder are women and the rest are children. There are 400 more children than women. How many people are there in the stadium altogether?
Click here to see answer by stanbon(57246)

Question 35583: A youth in a fashion design contest made a shirt for her and a proportional one for a small doll. the youth was 5 feet 5inches tall, and the doll was 13 inches tall. If the youth's shirtsleeve was 30 inches long, how long, inches, was the sleeve of the doll's shirt?
a. 28 1/6
b. 17
c. 15
d. 7 1/11
e. 6
It has been a long time since I have taken algrebra so I do not remember how to solve these problems.
Click here to see answer by stanbon(57246)

Question 35584: Erin wants to reduce both the length and width of a picture by 1/3. If the original picture is 12 inches by 6 inches, what will be the dimension, in inches, of the reduces picture?
a. 18 by 9
b. 12 by 4
c. 9 by 4
d. 8 by 6
e. 8 by 4
Click here to see answer by Earlsdon(6287)

Question 35987: Yuki, Mollie, Brandon and Anna share an apple pie for desert. Bradon eats half the amount Mollie eats. Yuki eats four times as much pie as Brandon. Mollie eats 1/4 of the pie. How much does Anna eat?

Click here to see answer by vidhyak(94)

Question 36246: a total of 50 juniors and seniors were given a math test. 35 juniors contained an average of 80 and 15 seniors contained an average of 70. what was the average score of all 50 students?
Click here to see answer by Prithwis(166)

Question 36260: You are making a scale drawing of a room using a scale of 1 inch:4 feet. The room is 14 feet by 18 feet. What are the dimensions of the drawing?
Click here to see answer by stanbon(57246)

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