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 249678: I need help solving a percent word problem that involves degrees. The combination of percentages and degrees confused me, so I really didn't know how to work it. This is the problem: "The size of the smallest angle of a triangle is 30% of the size of the largest angle, and the size of the third angle is 20degrees more than the smallest angle. Find the size of each angle."
Any help or info on this would be a great help since I have sevral others like this one. Thanks.
Click here to see answer by stanbon(57342)

Question 249681: I need help with the question: "Over a year's period, the dairy herd at Wholesome Dairy increased from 200 to 240. What percent increase is this? Note the amount of increase is 40, thus another way to ask the above question is, 40 is what percent of 200?"
Percentages are not my strong point, and I'm probably just over thinking this but I have no idea how to do this, so please help. Thanks
Click here to see answer by richwmiller(9135)

Question 249816: A rectangular garden measures 12 feet in length and 8 feet in width. What is the ratio of length to width?
b. width to length?

c. length to area?

d. width to area?
Click here to see answer by richwmiller(9135)

Question 250246: in 1975, 500 dozen pencils were sold at 40 cents per dozen. 1978, only 75% as many pencils were brought in 1975, but the price was 20% higher. What is the price of the pencils in 1978?
Click here to see answer by stanbon(57342)

Question 250357: Jimmy brought 2 3/8 pounds of deli ham that costs $5.99 per pound. Calculate the cost to the nearest cent of the ham that jimmy bought ?
Click here to see answer by richwmiller(9135)

Question 250511: Find how many quarts of 4% butterfat milk and 1% butterfat milk should be mixed to yield 90 quarts of 3% butterfat milk.
The mixture should contain __ quarts of the 4% butterfat milk.
The mixture should contain __ quarts of the 1% butterfat milk.
Click here to see answer by Theo(3464)

Question 250557: Joel worked 9 1/2 hours one week and 11 2/3 hours the next week. How many
more hours did he work the second week than the first?
Click here to see answer by richwmiller(9135)

Question 250557: Joel worked 9 1/2 hours one week and 11 2/3 hours the next week. How many
more hours did he work the second week than the first?
Click here to see answer by Alan3354(30993)

Question 250777: John who is an amateur golfer spends 4.5 hours every day practicing golf. What percentage of his waking hour does John spend practicing golf if he sleeps 8 hours a day?
Click here to see answer by stanbon(57342)

Question 250952: Before conference swim championships, Suzanne’s best time in the 200 yard butterfly race was 2 minutes, 23 seconds. In the conference championships, she won 10th place by swimming the 200 yard butterfly in 2 minutes, 15 seconds. What per cent decrease is that?
A.3.6% B.5.6% C.5.9% D.6.2% E.36.9%

Click here to see answer by Theo(3464)

Question 251276: The ratio of boys to girls in a certain class is 2/3 If 4 more boys and 4 more girls are added to the class, the ratio of boys to girls will be 5/7 How many boys are in the original class?
a) 16 b) 20 c) 24 d) 28 e) 32
Click here to see answer by ptaylor(2048)

Question 251285: 1/3 the weight of a bar of gold plus 30 pounds equals the weight of that bar of gold. How much does the bar of gold weigh?
Click here to see answer by checkley77(12569)

Question 251436: Juice X is 20% real fruit juice while Juice Y is 70% real fruit juice. How many liter of each should be mixed together to make 80 liters that is 50% real juice?
Click here to see answer by stanbon(57342)

Question 251455: Shane invests $18,000 in bonds that earn simple interest of 6%. The interest is payable at the maturity of the bonds after 5 years. Find the total amount that Shane will receive at the end of 5 years.
Click here to see answer by richwmiller(9135)

Question 251453: A certain strain of virus grows in numbers at the rate of 50% per hour. If its present population is 411,000 what will be its population count in 3 hours?
Click here to see answer by nerdybill(6958)

Question 251452: The value of a property declines every year by 6%. Presently, its value is 450,000. What will be its value 2 years from now?
Click here to see answer by richwmiller(9135)

Question 251454: A company has plans to increase its sales at the rate of 10% per year. If the sales of the company in 2001 were $ 37 million, how much sales can you expect the company to make in the year 2004?
Click here to see answer by checkley77(12569)

Question 251451: A factory increases the production of cars annually by 5%. If presently it manufactures 370,000 cars per year, how many cars will it manufacture per year after 3 years?
Click here to see answer by checkley77(12569)

Question 251450: Brett took a loan of $55,000 and paid back a sum of $58,100 after 2 years. What is the interest he had to pay?
Click here to see answer by rfadrogane(214)

Question 251450: Brett took a loan of $55,000 and paid back a sum of $58,100 after 2 years. What is the interest he had to pay?
Click here to see answer by checkley77(12569)

Question 251498: Mr. Jones was offered a radio by one firm at $80. less discounts of 20% and 10%; another firm offered him the same radio at $80. less 30%. Which is the better offer and by how much?
a) same price b) 1st, $1.60. c) 1st, $.80 d) 2nd, $1.60 e ) none of these
Click here to see answer by rfer(12657)

Question 251532: Of 50 houses in development, 41 are sold. What percentage of houses are sold?
Click here to see answer by richwmiller(9135)

Question 251618: A population of 100 grows at a rate of 8% a year forever. What is the size of population at end of year 1? Year 2? Year 3? What is the size of the population at the end of year n (for any integer n)? What algebraic equation would you need to solve to find the number of years x that it would take for our population to reach 200?
I can figure 1-3 years but I am lost on the rest. Could anyone please help? Thank you.
Click here to see answer by scott8148(6628)

Question 251501: The ratio of the number of boys to the number of girls in a room is 5:7. When 24 more boys enter, the ratio is reversed. How many girls are in the room?
a) 29 b) 32 c) 35 d) 36 e) none of these
Click here to see answer by richwmiller(9135)

Question 251844: Jan’s income is 5/8 that of Fran’s. Jan’s expenses are 1/2 of Fran’s expenses,
and Jan saves 40% of her income. What percent of her income does Fran save?
(Assume that what is not spent is saved.)

Click here to see answer by richwmiller(9135)

Question 251863: A 720 ml container holds a mixture of red, white and yellow paint in a 5:3:12 ratio. How much more red paint than yellow paint is present in the mixture?
Click here to see answer by nyc_function(2733)

Question 251872: My favorite store was having a 15% off everything sale. The jeans I wanted
were originally $49.99, but they were already marked down to $35.99
before the 15% discount. When I bought the jeans, what percent discount off
the original price did I pay? (Round to the nearest tenth of a percent.)
Click here to see answer by rfer(12657)

Question 251873: Jan’s income is 5/8 that of Fran’s. Jan’s expenses are 1/2 of Fran’s expenses
and Jan saves 40% of her income. What percent of her income does Fran save?
(Assume that what is not spent is saved.)
Click here to see answer by richwmiller(9135)

Question 251907: The volumes of two similar solids, A and B, are in the ratio 1:64, respectively. What is the ratio of the surface area of solid A to the surface area of solid B? Express your answer as a common fraction.
Click here to see answer by Alan3354(30993)

Question 251900: Sassy Fashions buys dresses at wholesale and then marks them up for retail sale. They recently sold a dress at a 40% discount off of their marked-up price. What percent mark-up did they originally apply to the dress if they broke even on the sale? Express your answer to the nearest percent.
Click here to see answer by richwmiller(9135)

Question 251978: The ratio of females to males in class is 7 to 4. If 3 females and 12 males are absent tomorrow, the ratio of females to males becomes 5 to 2. If this occurs, how many students will be in class tomorrow ?
Click here to see answer by ptaylor(2048)

Question 251981: An item for sale is marked down 20%. By what percent must it then be marked
up in order to return to the original selling price?
Click here to see answer by palanisamy(496)

Question 252116: Yesterday, 20% of the animals on a farm were rabbits. Today Farmer Joe brought home five more rabbits, increasing the percentage of rabbits to 25%. How many animals were on the farm yesterday?
A. 60 B. 75 C. 80 D. 90 E. 95
Click here to see answer by stanbon(57342)

Question 252114: Container A has a volume of 4/5 pi ^2 x^8
Container B has a volume of 5/4 pi ^2 x^8 What percent of B is the volume of container A?
Click here to see answer by richwmiller(9135)

Question 252141: i don't understand how to do this
Click here to see answer by richwmiller(9135)

Question 252237: If x is 250 percent of y, then what percent of x is 2y?
A. 25% B. 40% C. 60% D. 75% E. 80%
Click here to see answer by Theo(3464)

Question 252237: If x is 250 percent of y, then what percent of x is 2y?
A. 25% B. 40% C. 60% D. 75% E. 80%
Click here to see answer by nerdybill(6958)

Question 252232: Suppose that the electricity bill is determined only by multiplying the number of kilowatt hours used by the cost per kilowatt hour. Last February Ben’s electric bill was $50. This February the number of kilowatt hours used was 20% higher and the rate per kilowatt hour was 8% lower. To the nearest percent, select the percentage by which his electric bill has changed.
A. 12% increase B. 10% increase C. 0% D. 10% decrease E. 12% decrease
Click here to see answer by Theo(3464)

Question 252253: write the rational number -0.32 in fraction form where a and b are integers, b=0 and the fraction is in simplest form. show your work.

if h represents Kurst's height in inches, what could the expression h-4 represent?
Click here to see answer by Edwin McCravy(8909)

Question 252261: Sean won 60% of the car races that he entered,What fraction of the races did Sean win?
3/5
2/3
1/60
3/50
Click here to see answer by actuary(112)

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