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

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Question 146437: Anne and Nancy use a metal alloy that is 19.75% copper to make jewalry. How many ounces of an 18% alloy must be mixed with a 21% alloy to form 108 ounces of the desired alloy?
Click here to see answer by nerdybill(6951)

Question 146459: A plane is flying a 3547-mile trip from City A to City B. It is flying with a 60-mph tailwind. The flight's point of no return is the point at which the flight time required to return to City A is the same as the time required to continue to City B. If the speed of the plane in still air is 350 mph, how far from City A is the point of no return? Round to the nearest mile.
Click here to see answer by stanbon(57282)

Question 146457: Mardi received an inheritance of $60,000. She invested part at 11% and deposited the remainder in tax-free bonds at 9%. Her total annual income from the investments was $6200. Find the amount invested at 11%.
Click here to see answer by checkley77(12569)

Question 146454: A convention manager finds that she has a $1220 made up of twenties and fifties. She has a total of 34 bills. How many fifty-dollar bills does the manager have?
Click here to see answer by checkley77(12569)

Question 146578: The cost of renting a small truck at U-Haul is $35 per day plus .20 cents a mile. The cost of renting the same truck at Ryder is $25 per day plus .32 cents a mile. How far would you have to drive in one day for the cost of renting from U-haul to equal the cost of renting from Ryder?
Click here to see answer by Alan3354(30993)

Question 147448: Thirty-two is 7 less than 3 times a number. Find the number.
Click here to see answer by vleith(2825)

Question 147519: How do you write a ratio division word problem for 4/5 divided by 1/2?
Click here to see answer by checkley77(12569)

Question 147519: How do you write a ratio division word problem for 4/5 divided by 1/2?
Click here to see answer by jojo14344(1512)

Question 147757: how many gallons of a 12% solution must be mixed with 6 gallons of a 20% salt solution to obtain a 15% salt solution?
Click here to see answer by stanbon(57282)

Question 148042: An investor has $20,000 o invest. If part is invested at 8% and the rest at 12%, how much should be invested at each rate to yield 11% on the total amount invested?
Click here to see answer by checkley77(12569)

Question 148367: a page in a book has an average of 25 words per square inch of paper. the average length of a word is 5.3 letters. what is the average number of letters per square centimeter of paper?
Click here to see answer by jojo14344(1512)

Question 148863: Fax paper costs $17.00 per case and copier paper costs $11.00 per case. If an order is recieved for a total of 250 cases for $3,659.00 what is the excat number of cases of copier paper?
Click here to see answer by mangopeeler07(462)

Question 148871: A SUV dealership sells a car for $39,000. This is a 25% markup from the original sale price. What is the original sale price.
Click here to see answer by edjones(7569)

Question 148948: Ferdinand sold his algebra textbook using an internet auction site that charges a commission of 13% of the selling price. After the commission was paid, Ferdinand received $22.78. If x represents the selling price, then x satisfies x – 0.13x = 22.78. Solve this equation to find the selling price
Click here to see answer by mangopeeler07(462)

Question 149091: I'm trying to teach my child this problem but I keep forgetting how to set it up. If you could help me identify it or show me how to set them up I would really appreciate the help. Thank you
Click here to see answer by solver91311(16872)

Question 149566: The patel manufacturing company allows for a defect rate of 0.9% on its production line.The defect average for last week was 3 times out of 1,500.What is the difference between the allowed defect rate and the average for last week?
Click here to see answer by Fombitz(13828)

Question 149633: the vote count for candidate A was 7,310.The vote for candidate B was 14,190.What percent of the voters voted for candidate A?
Click here to see answer by Fombitz(13828)

Question 149673: Sonja earned $50,000 as an accountant in 1999. Due to the recession, she agreed to a 20 % cut in salary for 2000. In 2001 the economy improved, and her salary was restored to it's original 1999 level. What percent raise did Sonja get in 2001?
So , I thought this was sort of self explanitory and that the answer would be 20% but the book says it's 25%. This is probably really simple but I can not figure it out.
Help !
Click here to see answer by nerdybill(6951)

Question 149713: At 10 am a gymnastics team began traveling to it's district finals meet 200 miles away. Team A traveled on the interstate at 65 mph and had a flat tire halfway to the meet. Team B traveled at 55 mph. Approximately how many minutes did Team A sit before Team B arrived to help ?
The book says the answer is 17 minutes but I keep getting 10 ?!?!?
Click here to see answer by nerdybill(6951)

Question 149677: Lucy has invested some money invested at 18% and three times as much invested at 12%. her total annual income from the 2 investment is 85,000 pesos. how much was invested at each rate?
Click here to see answer by checkley77(12569)

Question 150084: if a woman made $408 commision on a $600 sale
then made $462 commision on a $900 sale
what did she make on a $3700 sale?
Click here to see answer by Alan3354(30993)

Question 150272: An electrical resistor is rated at 4,550 Ohms with a tolerance of 8%. What are its tolerance limits?
I tried .08*4550=364+4550=4914 Ohms. My teacher says its wrong.

Click here to see answer by scott8148(6628)

Question 150274: Good Afternoon,
I'm having a problem figuring out the break down of this problem. What percentage is 120 of 84. Can you please break this down step by step to show me how the answer comes up to be 70%?
Click here to see answer by Earlsdon(6287)

Question 150321: Mark and Brenda wish to get $82,800 for their home. The real estate agent's
commission is 10% of the selling price. What should the selling price be?
Click here to see answer by nerdybill(6951)

Question 150398: quality control engineer found 1.6% of product is defective. If 8 rockers are defective how many were in total shipment?
Click here to see answer by ankor@dixie-net.com(15645)

Question 150507: the length and width of a rectangle are in the ratio 3:2. if the length is increased by 20 and the width is decreased by 5, the ratio of the length to the width becomes 2:1. find the length and width of this rectangle.
Click here to see answer by nerdybill(6951)

Question 150567: there were 3/4 as many women as there men in a train yesterday. at the next station, 12 women and 6 men got in. as a result, there were 6/7 as many women as men on the train. how many men and women were in the train at first?
Click here to see answer by josmiceli(9664)

Question 150631: In what proportion should 95% alcohol be mixed with 30% alcohol to make 70% alcohol?
Click here to see answer by Earlsdon(6287)

Question 150688: Mrs Tan bought a DVD player and a HI-FI set at a discount of 20%. She paid a total of $2800. If the price of the DVD player is 40% that of the HI-FI set, what was the price of the DVD player before the discount?
Click here to see answer by nerdybill(6951)

Question 150750: A school festival has sold 760-tickets. If this is 95% of their goal, how many more tickets do they need to sell to reach 100% of their goal?
A. 22 B. 40 C. 58 D. 800
Click here to see answer by mangopeeler07(462)

Question 151029: if the numerator of a certain fraction is increased by 6 and its denominator is decreased by 5, the resulting fraction is equal to 3/4. if the reciprocal of the original fraction is decreased by 1, the resulting fraction is 16/9. find the original fraction.
Click here to see answer by Fombitz(13828)

Question 151027: if the numerator of a certain fraction is increased by 6 and its denominator is decreased by 5, the resulting fraction is equal to 3/4. if the reciprocal of the original fraction is decreased by 1, the resulting fraction is 16/9. find the original fraction.
Click here to see answer by ankor@dixie-net.com(15645)

Question 151277: Mr Tan et off from Town A to Town B at an average speed of 75km/h at 08 00. Mr Chen set off from Town A after some time and overtook Mr Tan at 10 00. When Mr Chen reached Town B at 12 00, Mr Tan was still 30km away.
(a)What was Mr Chen's average speed?
(b)What time did Mr Chen leave Town A?
pls. try not to use algebra but if there is no choice, then, algebra would be fine.
Click here to see answer by vleith(2825)

Question 151276: The ratio of the number of red beads to blue beads in a box was 3:1. 3 more red and 4 more beads were added and the ratio became 2:1. How many red beads were there at first?
Click here to see answer by vleith(2825)

Question 151346: 1.How many quarts of pure alcohol must be added to 10 quarts of a 15% alcohol solution to obtain a mixture which is 25% alcohol? All percentages are by volume
Click here to see answer by ankor@dixie-net.com(15645)

Question 151442: I'm having some trouble solving these problems please help me.
Use algebraic techniques to solve rate problems and percent problems:
1.) Five tables and eight chairs cost $115; three tables and five chairs cost $70. Determine the cost of each table and each chair?
2.)A merchant sold his entire stock of shirts and ties for $1000, the shirts being priced at 3 for $10 and the ties at $2 each. If he sold 1/2 of the shirts and 2/3 of the ties he would have collected $600. How many of each kind did he sell?
3.)Determine the speed of a motorboat in still water and the speed of the river current, if it takes 3 hr to travel a distance of 45 mi upstream and 2 hr to travel 50 mi downstream?

Please and thank you
Click here to see answer by ankor@dixie-net.com(15645)

Question 151458: If 2/5 of a number is 30, what is 1/3 of twice the number?
Click here to see answer by nerdybill(6951)

Question 151482: Please help me solve these problems. I did them but the answer I'm getting seems way off.
Apply algebraic techniques to solve rate problems and percent problems:
4,) A painter can do a given job in 6 hours. Her helper can do the same job in 10 hours. The painter begins the work and after two hours is joined by the helper. In how many hours will they complete the job?
5.) One group of workers can do a job in 8 days. After this group has worked 3 days, another group joins it and together they complete the job in 3 more days. In what time could the second group complete the job alone?
6.)What weight of water must be evaporated from 40lb of a 20% of salt solution to produce 50% solution? All percentages are by weight.
Thank you
Click here to see answer by ankor@dixie-net.com(15645)

Question 151413: when the first of two numbers is added to twice the second number, the result is 21, but when the second number is added to twice the first the result is 18. find the two nummbers.
Click here to see answer by ankor@dixie-net.com(15645)

Question 151588: How many ounces of a 10% baking soda solution must be added to 40 ounces of 2% baking soda solution to make a 5% baking soda solution?
Click here to see answer by checkley77(12569)

Question 151571: How many ounces of a 10% baking soda solution must be added to 40 ounces of a 2% baking soda solution to make a 5% baking soda solution?
Click here to see answer by checkley77(12569)

Question 151616: On Friday 13/25 of the stocks traded on the NY stock Exchange advanced in price. If 1,495 stocks advanced then how many stocks were traded on that day
Would x bef how many stocks were traded
x=13/25x=1,1495 ????
Click here to see answer by solver91311(16872)

Question 151570: A vending machine will accept nickels and dimes only. The attendant checks the machine and finds a total of 42 coins whose value is $3.40. How many coins of each type were there?
Click here to see answer by checkley77(12569)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220