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 432890: An individual has two low-interest loans, one at 4% interest and the other at 6% interest. The amount borrowed at 6% is $250 more than the amount borrowed at 4%. If the total interest for one year is $165, how much is borrowed at each rate?
Click here to see answer by jorel1380(2518)

Question 432823: Out of their first 40 games the Williamsbury Wildwings had a record of 18 wins and 22 losses. Assuming no ties, how many of their next 50 games must they win if their record is to show twice as many wins as losses?
Click here to see answer by jorel1380(2518)

Question 432790: Find the probability of at least 2 girls in 8 births. Assume that male and female births are equally likely and that the births are independent events
Click here to see answer by jorel1380(2518)

Question 446832: in a school 5/8 of the students are boys and the number of girls is 990, find the number of boys in the school
Click here to see answer by josmiceli(9686)

Question 447273: You invest $7200 in two accounts paying 8% and 10% annual interest. At the end of the year, the accounts earn the same interest. How much was invested at each rate?
I tried .08x + .10(7200-x) = 7200 and that did not work. Having a tough time coming up with the equation that will allow me to solve this word problem. Any help would be greatly appreciated.
Click here to see answer by mananth(12270)

Question 447816: A soccer team won 3/8 of its games. If it lost 8 more games than it won, how many games did the team play?
Click here to see answer by robertb(4012)

Question 448085: the sales price of a car is $12,590, which is 20% off the original price. What is the original price?
I tried multiplying 20% of the sales price and adding it back on but since the price given is already 20% off it would not be correct. So I need to find 20% of what amount is $12,590 but not sure what formula to use!
Also, If Sally can paint a house in 4 hours and John can paint the same house in 6 hours, how long will it take for both of them to paint the house together? I know it will be less that 4 and more than 2 but not sure of what formula to use!
Thank you!
Click here to see answer by jim_thompson5910(28595)

Question 448380: A solution is 20% acid and 80% water. What is the ratio of acid to water in the solution?
I know that these are equal... 20%, .2, 1/5 and 80%, .8, 4/5
Is the answer 1:4?
Thanks for your help!
Click here to see answer by jim_thompson5910(28595)

Question 448584: What formula do I use to find the original price of something? I know the final amount and the percentage added. Example: the final amount is $100.00. The percentage added is 20%. What is the original amount without the 20% added?
Click here to see answer by nerdybill(6962)

Question 448586: what percent increase is 250 to 270?
Click here to see answer by rfer(12662)

Question 448590: Avi,bette,chloe, and dean are four senators on a certain subcommittee. Any or none of them may be selected to another subcommittee. How many different variations for the new subcommitte are there?
Click here to see answer by sudhanshu_kmr(1152)

Question 448595: Decide whether the argument is valid given premises A,B, and C, and the conclusion.
A. All books written by P. Smith are mysteries.
B. All mysteries are worth reading
C. Some of harold's books are worth reading.
Conclusion- Some mysteries are owned by Harold.
Is the argument valid or invalid?
Click here to see answer by jorel1380(2518)

Question 448591: A family's plan to retire in 15 years and expect to need $500,000. Determine how much they must invest at 11.9% compounded annually to accomplish their goal.
Click here to see answer by ewatrrr(10682)

Question 290035: The Patel family recently purchased a home, taking out a mortgage of $235,000 at 8 1/2% for 25 years. Excluding taxes and insurance, what is the monthly PITI payment of their loan?
Click here to see answer by calabar 69(1)

Question 449273: A tank is 5/8 full, 180 litres have left the tank and is now 1/6 full. How many litres are left in the tank?
Click here to see answer by rfer(12662)

Question 449318: if there are 48 oranges and mary takes home 5 times more than chris. how many organges does chris take home?
Please show how you calculate this.
Click here to see answer by checkley79(3050)

Question 449629: There are 357 seniors in Harris High School. The ratio of boys to girls is 7:10. How many boys are in the senior class?
Click here to see answer by edjones(7569)

Question 449604: Answers for i ate 1/10 of the apples and used rest to make six pies.i used same numbers of apples for each pie.what fraction of apples i used for each pie
Click here to see answer by edjones(7569)

Question 449944: if i have a percentage of 135.8% how do i get its ratio
Click here to see answer by josmiceli(9686)

Question 450015: An article that cost 370 was sold at a loss of 14%. What is the selling price ?
Click here to see answer by nerdybill(6962)

Question 450028: I am buying 1000 cups for $38.00 dollars? How much does each cup cost?
Click here to see answer by nerdybill(6962)

Question 450101: If c dollars are deposited in an account paying r% annual interest, approximate the the amount in the account after x years if c= $150, r=2.5% and x= 20 years.
Thanks to anyone who can help.
Click here to see answer by ewatrrr(10682)

Question 450566: Could you please help me answer this, I do not know how to solve it.
"If a rectangle's length is increased by 30% and its width is decreased by 30%, what is the percent change in area?"
Thank you for your time!
Click here to see answer by nerdybill(6962)

Question 450614: I made up this problem but I have no idea if it even makes sense. I plan on being a substance abuse counselor, which is pretty far from mathematician, and I have to make up a problem that relates to my future profession. This is what I came up with. Can this be put into some algebraic sense or is it futile?
If an alcoholic drinks 36oz. of beer containing 0.05% alcohol within 45 minutes, while another drinks 2, 10oz glasses of cheap wine containing 14% alcohol in 30 minutes. Which alcoholic has consumed the largest percentage of alcohol? Was there any time when the 2 drinkers had the same amount of alcohol at the same amount of time?

Click here to see answer by ankor@dixie-net.com(15656)

Question 451314: Stan baked an apple pie. Because Kate was coming over for dessert, he had to taste it to make sure it was good. By the time Kate got there, only 2/3 of the pie was left. Stan served her 1/4 of what was left. What fractional part of the pie did Kate get?
Click here to see answer by jorel1380(2518)

Question 451366: The Product of two numbers is 20.
Suppose one number is 2 1/2. What is the other number?
Click here to see answer by jorel1380(2518)

Question 451642: 6.2 kg of chicken was eaten in April. In May the ate 15% more chicken than in april. find the mass of chicken eaten in May
Click here to see answer by jorel1380(2518)

Question 451459: How many tons of an alloy that is 5% nickel must be added to 15 tons of an alloy that is 20% nickel to make an alloy that is 10% nickel?
Click here to see answer by jorel1380(2518)

Question 452278: If the numerator of a fraction is increased by 200% and denominator is increased by 300%, the resultant fraction is 15/26. What is the original fraction ?
Click here to see answer by stanbon(57361)

Question 452349: yes, we have fifty gallons of water, want to mix bush killer to make it 4%ration so we'll not sure how much bush killer we need to add to the water.
Click here to see answer by ankor@dixie-net.com(15656)

Question 453008: can someone help me by tuesday plss :(?
solve the problem.
A certain number is added to the numerator and subtracted from the denomintaor of 5/8. find the number
Click here to see answer by rwm(914)

Question 453007: can someone help me by tuesday plss :(?
solve the problem.
in a certain fraction, the numerator is 4 less than the denominator. if 2 is subtracted both to numerator and the denominator, the resulting fraction is equal to 1/2. find the original fraction in lowest terms.
Click here to see answer by josmiceli(9686)

Question 453104: In 2009, Beaver Hospital admitted 14,800 patients. In 2010, a 20% increase in admissions is expected. Assume the hospital has 390 beds.
a) If the average patient stays in the hospital 8 days, how many beds were empty, on average, in 2009?
b) On average, how many beds do you expect to be empty in 2010?
I'm not sure how to begin in setting up the problem or solving it. Please help with the set-up and solution. Thanks so much.
Click here to see answer by solver91311(16897)

Question 453101: Arlo walked n feet per minute and arrived at the clinic 10 minutes late. How fast should he have walked to have arrived on time?
Click here to see answer by ankor@dixie-net.com(15656)

Question 453150: im really stuck so can someone help me please :(?
solve the problem.
The interest on an investment varies directly as the rate of interest. If the interest is $60 when the interest rate is 4.5%, find the interest when the rate is 4.2%. Round to the nearest whole number.
Click here to see answer by ankor@dixie-net.com(15656)

Question 453324: I really hate word problems. I can't even tell where they belong. If I shouldn't be here can someone tell me where I should be? Thanks.
The function f(x)=180x/100-x models the cost f(x) in millions of dollars to remove x% of a rivers pollutants. If the government commits $540 million for this project
what is the percentage of pollutants that can be removed?

Click here to see answer by stanbon(57361)

Question 453489: Employees of a discount appliance store receive an additional 20% off of the lowest price on an item. If an employee purchases a dishwasher during a 15% off sale, how much will he pay if the dishwasher originally cost $450?
Click here to see answer by rwm(914)

Question 453606: can someone plss help me?
solve the problem.
A certain number is added to the numerator and subtracted from the denominator of 5/8. The new fraction equals the reciprocal of 5/8. find the number.

Click here to see answer by jim_thompson5910(28595)

Question 453774: (((what is 6/15 written as a percent?))) Please help! Thanks!
Click here to see answer by algebrahouse.com(1079)

Question 453781: (((Kobe made 9 out of every 12 shots. what percent of shots did Kobe make?)))I NEED HELP! Thanks!
Click here to see answer by edjones(7569)

Question 454838: the vote count for candidate A was 7,310. And the vote for candidate B was 14,190. Only two candidates were running. What percentage of voters voted for candidate A?
Click here to see answer by rfer(12662)

Question 454830: I need help setting up the following word problem, please.
Scott can install windows in 6 hours and Jordan can do the same job in 5 hours. How long would it take if they worked together?
I'm not sure how to do this type of problem, therefore I am unsure if I'm even on the right track.
I believe it is set up like this 6+5=11 divided by 2?
Click here to see answer by ankor@dixie-net.com(15656)

Question 454827: If the Golden Ratio is 1.618 and you have a piece of cardboard that is 7/8 feet wide. How long should you cut so it follows the golden ratio?
7/8= .875 and the Golden ratio= 1.618.
I need help setting up the problem correctly, as well as how to solve, please I have tried everything I can think of.
Click here to see answer by rfer(12662)

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