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 205709: Hi, I need help on my summer assignment, i did all of them except two...which i don't know how to do. I'm so sorry, they have parts to them.
The first one is :
"A Glass mirror is selling mirrors with frames. The store charges 10 cents for each square inch of mirror and 25 cents for each linear inch of frame.
A. Show that a 20 inch by 30 inch mirror should cost 85 dollars
(I tried solving this by multiplying the money by the inches, and by finding the area and stuff but either it equals more or less.)
B. If there was a mirror that measures 40 inches on one side, what would the other measurement be if the price were still 85 dollars
C. Write an equation that determines the price (p) given length (l) and width (W)
D. Solve this equation for L"
If you could just do A and B that would be great because then i could figure out c and D since u will show me the work and how u did it so I know....Thank You soooo much~!

Click here to see answer by stanbon(57228)

Question 205939: Confusing. Help Pls.
How much water must be added to 30 liters of a 75% salt solution to reduce it to 15%?
Click here to see answer by nerdybill(6948)

Question 205939: Confusing. Help Pls.
How much water must be added to 30 liters of a 75% salt solution to reduce it to 15%?
Click here to see answer by ankor@dixie-net.com(15628)

Question 205932: 2.)The denominator of a fraction is 4 less than the numerator. If the denominator is doubled and the numerator is increased by 6, the sum of the original fraction and the new one is 3. Find the original fraction.
Click here to see answer by edjones(7569)

Question 205931: 2.)The denominator of a fraction is 4 less than the numerator. If the denominator is doubled and the numerator is increased by 6, the sum of the original fraction and the new one is 3. Find the original fraction.
Click here to see answer by checkley77(12569)

Question 206300: PLease Solve This Word Problem!!! Thank You!
Farmer Gray's store of apples this year is 175 percent of last year's store. How many apples were there last year if this year's store is 1925 apples?
Click here to see answer by checkley77(12569)

Question 206582: Half of the students in a class are girls. If the number of boys was three times as large and the number of girls twice as large, what would the percentage of boys in the class become?
(A) 50% (B) 60% (C) 75% (D) 80% (E) Not enough information
Click here to see answer by Marth(57)

Question 206739: A basket contains red and green candies. If one third of the green candies are removed, it is found that the number of red and green candies remaining in the basket is now the same. What was the original percentage of red candies in the basket?
(A) 25 (B) 33 1/3 (C) 40 (D) 60 (E) None of these
Click here to see answer by stanbon(57228)

Question 206901: Hello, I need help on one of my questions for summer. I did the rest im just stuck on this one, I really don't know how to do ratios. PLZ HELP!
okay so the question is:
According to the U.S Mint, pennies are made of 97.5 percent zinc and 2.5 percent copper by mass. Copper has a density of 8.96 grams of mass per cubic centimeter of volume. Zinc has a density of 7.13 grams of mass per cubic centimeter of volume.
A. What is the ratio of the mass of zinc to the mass of copper in a penny?
B. What is the ratio of the volume of zinc to the volume of copper in a penny?
C. You have measured the mass of some pennies that were minted before 1982, when they had a different composition than they do today. They were still made of zinc and copper, but in a different ratio. You have found that one penny has a mass of 3.1 grams, and has a volume of 0.35 cubic centimeters. Find the mass of the copper in this penny.
whoa!
Thank You SOO much!! If you could just help me with A and B i would probably be able to figure out the last one. Thank u thank u!
Click here to see answer by scott8148(6628)

Question 207214: 1.you have made 9,000.00 on the sale of your stock. The original cost of the stock was 12,000.00. Find the percentage of increase.
2.
Click here to see answer by RAY100(1637)

Question 207403: A supermaket sells a 5lb package of 80% lean ground beef for $9.25
and a 4lb package of 85% lean ground beef for $10.60.
What's the difference between the cost per pound of the 2 types of beef?
Click here to see answer by rfer(12646)

Question 207472: A piece of real property is assessed at P 15,400. If this real property is assessed by 11/60 of its actual value, what is its actual value?
Click here to see answer by rfer(12646)

Question 207470: A piece of brass weighing 8 1/2 kilograms contains 2/3 copper and the remainder zinc. How many kilograms of copper does it contain? How many kilogram of zinc does it contain?
Click here to see answer by rfer(12646)

Question 207606: Dear Tutor, I am having so much problem with percentages and fractions so can you please help me with these problems?
Can you please help me solve this problem:
What is 35% of a number if 12 is 15% of a number?
Can you please help me with this one as well?
If 45% is 120% of a number, what is 80% of the same number?
Thank You,
Donna
Click here to see answer by Alan3354(30975)

Question 207745: If I am supposed to knit 7.5 rows per every inch, but I only knit 6.2, by what percentage to I decrease the numbers in a pattern based on 7.5 rows an inch?
Click here to see answer by rfer(12646)

Question 207980: suppose inflation of money is a rate of 3% per year in the united states. how much will a $1 candy bar cost in 30 years?
Click here to see answer by rfer(12646)

Question 207979: Nancy invests $100 in one account for 10 year at a 9% interest rate compounded annually, and she invests $150 in an account for 10 years at a 6% interest rate compounded semi-annually. how much money will she have in the account after 10 years?
Click here to see answer by rfer(12646)

Question 207975: joan actually likes 30% of her male friends and 20% of her female friends. she has a total of 200 friends, 45% of them are male. how many female friends does joan actually like?
Click here to see answer by ankor@dixie-net.com(15628)

Question 208530: Angie and Lisa were taking gymnastics together. one day each of them ran to class. together it took them 12 3/4 minutes. it took lisa twice as much time as it took Angie. how many minutes did it take each of them to run?
Click here to see answer by stanbon(57228)

Question 208621: of a fresh men at a college, 24% failed remedical mathematics . if 360 students failed remedical mathematics ,how many freshmen are enrolled at the college ?
Click here to see answer by stanbon(57228)

Question 208713: A man buys a book for $20 and wishes to sell it. What price should he mark on it if he wishes a 40% discount while making a 50% profit on the cost price?
Click here to see answer by scott8148(6628)

Question 209281: divide 630 between x:y in the ratio 1/4:1/6?
Click here to see answer by RAY100(1637)

Question 209358: The y-value is the difference between four and twice the x- value y= 8?
Click here to see answer by Alan3354(30975)

Question 209418: Jane has two tennis serves, a hard serve and a soft serve. Her hard serve is in (a good serve) 50% of the time, and her soft serve is in (good) 75% of the time. If her hard serve is in, she wins 75% of her points. If her soft serve is in, she wins 50% of her points. Since she is allowed to reserve one time if her first serve is out, what should her serving strategy be? That is, should she serve hard followed by soft; both hard; soft followed by hard; or both soft?
Click here to see answer by Theo(3458)

Question 208996: Emile receives a flat weekly salary of $240 plus %12 commission of the total volume of all sales he makes.What must his dollar volume be in a week if he is to make a total weekly salary of $540?
Click here to see answer by checkley77(12569)

Question 209549: a chemist has one solution that is 25% acid and 50% acid. how many liters of each should be mixed to get 10 Liters of a solution that has 40% acid?
Click here to see answer by checkley77(12569)

Question 209634: Translate to an equation and solve.
100% of 13 is what?
Click here to see answer by Alan3354(30975)

Question 209931: Can anyone help me with these 4 problems please? And if you could, please show your work as well. Thank you! ~Sarah

1. A radiator contains 6 quarts of a mixture of antifreeze and water. 40% of this mixture is antifreeze. How much of this mixture should be drained and replaced with pure antifreeze so that the mixture will be 60% antifreeze?

2. A car (Car A) leaves a gas station and travels along a straight road 200 miles long at a uniform speed of 40 miles per hour. A second car (Car B) leaves the station 1/2 hour later and travels along the same road at 55 miles per hour. At what time will Car B overtake Car A?

3. How much water must be evaporated from 500 grams of a 10% salt solution to obtain a 15% salt solution?

4. A boy can mow a lawn in 90 minutes and his sister can mow the same lawn in 60 minutes. How long will it take for both mowing at the same time to mow the lawn?

Click here to see answer by ankor@dixie-net.com(15628)

Question 210266: Interest. A high school student was able to save $8000 by working a part-time job every summer. He invested half the money in a money market account and half the money in a stock that paid three times as much interest as the money market account. After a year he earned $160 in interest. What were the interest rates of the money market account and the stock?
Answer in percentages and round to one decimal place.

Click here to see answer by stanbon(57228)

Question 210362: what if at party, Leda Marie cut each buko pie into 2 serving pieces.If 63 halves pieces were eaten,how many pies were serve?
Click here to see answer by vleith(2825)

Question 210404: of the 958 tornadoes that occurred in the united states during 2006, 25.5% occurred during the month of April. How many tornadoes occurred during april 2006?
Click here to see answer by stanbon(57228)

Question 210435: Solve.
The population of a small country increases according to the function
B = 2,400,000e0.03t, where t is measured in years. How many people will the country have after 4 years?
A) 3,163,816
B) 2,705,992
C) 5,088,632
D) 2,209,965
Click here to see answer by checkley77(12569)

Question 210898: A woman earns 15% more than her husband. Together they make $69,875 per year. What is the husband's annual salary?
Click here to see answer by nerdybill(6948)

Question 210951: Thirty three out of 198 students surveyed said they preferred hockey to all other sports. What fraction of students surveyed is this?

In high school 25 percent of the girls and 50 percent of the boys attended a football game. If 48 percent of all the students in the school are girls, what percent of all the students went to the football game?
Click here to see answer by DRichardson(63)

Question 211426: Respected sir,
plz help me to slove this % problem.
1] At car delarship X,the total profil from sales increased by 10% over the previous year while the number of cars sold decreased by 10% over the previous year.Approximately what was the average percent increase in profit per car over the previous year?
waiting for yur reply.
Thanks.
Regards
Binita.
Click here to see answer by Theo(3458)

Question 211879: One and one fourth times a number is one and one third wat is the number
Click here to see answer by Earlsdon(6287)

Question 212009: Due to evaporation, the volume of liquid in a beaker decreased by 20 percent every hour. If the volume of liquid in a beaker was initially m cubic centimeters, what was the volume of the liquid in the beaker after 3 hours?
Click here to see answer by Alan3354(30975)

Question 212460: if a college bookstore sold 50 textbookss last week and 60 textbooks this week, what is the percent increase in books sold from last week to this week?
Click here to see answer by Earlsdon(6287)

Question 212821: A picture frame measures 18 1/4 in. wide by 24 1/2 in. high. How far from the left side and how far from the bottom of the frame is its center?
I think I might have to multiply or divide but can't find anything in my notes that would specify this. Thanks for the help!
Click here to see answer by checkley77(12569)

Question 213052: A used-car dealer sells an automobile for $5,200 and makes a 30% markup on the deal. What did the dealer pay for the car?
Click here to see answer by Earlsdon(6287)

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