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

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Question 170208: When Professor Sum was asked by Mr. Little how many students were in his classes, he answered, “All of them study either languages, physics, or not at all. One-half of them study languages only, one-fourth of them study French, one-seventh of them study physics only, and 20 do not study at all.” How many students does Professor Sum have
Click here to see answer by ankor@dixie-net.com(15652)

Question 170306: a 36 ounce bottle of orange juice cost $3.69, while 64.2 ounce bottle of orange juice costs $5.94. which bottle of orange juice is the best buy
Click here to see answer by Mathtut(3670)

Question 170317: jimmy has a large house, he needs to fence his yard so his dog can run and play without running away. The yard is 20.5 feet by 16.2 feet. the fencing costs $9.50 for 3 yards. how much will it cost him to fence the whole yard? (round your answer to the nearest cent)
Click here to see answer by checkley77(12569)

Question 170315: staple's sells a package of 7 colored white board makers for $3.78. at this rate how much one dozen white board makers will cost?

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Question 170313: richard makes strawberry milk shakes. he mixes 10 1/2 cups of milk and 5 3/4 cups of strawberry icc cream for every 10 milk shakes. richard needs to make 25 milk shakes for a party. how many cups of milk and how many cups of strawberry ice cream does he need?
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Question 170311: my office is 12 feet by 8 feet, while lena's office is 18 feet by 12 feet.
a) what is the ratio of the perimeter of lena's office to my office
b) what is the ratio of the area of lena's office to my office?
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Question 170309: jhon can run 36 yards in 48 seconds. what is his running rate in yards per seconds?
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Question 170410: I get really confused when trying to set these problems up. Can you help me work this one out so I can use it for my other questions please? How many liters of a 40% alcohol solution should be mixed with 40 liters of a 90% solution to get a 50% solution? Thanks for your help.
Click here to see answer by Mathtut(3670)

Question 170511: Express 0.01 as a fraction. Show all your work.
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Question 170742: 750 freshmen ate cranberry ice cream 1250 ate coconut what is the fraction of freshmen who ate cranberry ice cream? Please help
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Question 170746: Bryce insist that (2+x)/8 is equivlent to (1+x)/4. What mistake do you think he is making and how could you demonstrate to Bryce that the two expressions are not equivalent?
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Question 171083: A chess champion played in a two-week tournament. At the end of the tournament she had lost four more matches than she had won. If she lost 60% of her matches, how many matches did she play?
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Question 171360: A farmer husband and his wife raise a rooster and a hen in their backyard. After few months the rooster and the hen have

34 chicks. The wife told her husband to give ALL THE CHICKS to their children in this proportion:

1. ELDEST CHILD = 1/2

2. 2ND CHILD = 1/3

3. YOUNGEST CHILD = 1/9

The father agrees but with conditions that none of the chickens will be slaughtered and only the CHICKS are to be distributed to their children according to the above proportion. When the family did the partition they found out that it did not work. WHAT IS THE CORRECT PARTITION?

Click here to see answer by gonzo(654)

Question 171498: Two high school classes took the same test. One class of 20 students made an average grade of 80%; the other class of 30 students made an average grade of 70%. What is the average grade for all students in both classes?
I got the answer of 75%. I'm not sure if that's correct.
Click here to see answer by stanbon(57347)

Question 171642: the number 12 is what percent of 60
Click here to see answer by nerdybill(6959)

Question 171732: The sales tax on an item in nyc is8.38%. To encourage sales,a store advertises a 20% discount on any item in that store (not including the sales tax). The total cost T in terms of the origninal price P and the sales tax is
T=0.0838x0.80P is this correct?
Click here to see answer by Alan3354(30993)

Question 171811: 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?
210
147
117
107

Click here to see answer by jim_thompson5910(28595)

Question 172058: I need help with these, thank you so much.
The median income in Marion County rose from $22,000 to $23,100. During the same time period, the median price of a house increased from $140,000 to $147,500. Which experienced the greater percent increase: salaries or housing costs(or were they the same)?

My daughter-in-law works at Eddie Bauer and gets a 15% employee and family discount on all purchases. I found a $65.00 shirt in their catalog that’s advertised at 10% off. However, I also found the same shirt offered at their factory outlet store at 25% off. Will I save money buying it from the factory outlet store at 25% off, or having my daughter-in-law order it at 10% off, then use her 15% off discount(or is the price the same either way?) If one way is cheaper than the other, how much will I save?

Click here to see answer by solver91311(16885)

Question 172261: if p is 125% of q, then q is what percent of p?
Click here to see answer by Mathtut(3670)

Question 172491: The length and the width of a rectangle are in the ratio of 5:6. If their product is 120, find its length and width.
Click here to see answer by vleith(2825)

Question 172488: The measures of two complementary angles have ratio 4 is to 5. What is the measure of each angle?

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Question 172486: If y is to 7 as 7 is to y, find y.
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Question 172489: The length and the width of a rectangle have ratio of 5 is to 7. The perimeter is 48cm, find the length and the width.
Click here to see answer by jojo14344(1512)

Question 172487: The ratio of carbon atoms in a carbon dioxide molecule is 1:2. How many carbon atoms and oxygen atoms are there in 36 molecule of carbon dioxide
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Question 172986: please help!
In a certain school there were 5 more seniors than juniors. In one marking period, 12 percent of the juniors and 10 percent of the seniors were on the honor roll. If the total of juniors and seniors on the honor roll was 17, how many seniors were there in the school in that marking.

Click here to see answer by Mathtut(3670)

Question 173487: Mya played in two softball games one afternoon. The first game lasted 42 minutes. The second game lasted 1 2/3 times longer that the first game. How long did Mya's second game last?
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Question 173515: Mr. Henry had to interview a total og 63 households in his assignment. He finshed 28.what is the percentage of his assignment he finished?
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Question 173517: if the length of a rectangle is increased by 10% and the area is unchanged , then by what percentage must the width be decreased ?
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Question 173517: if the length of a rectangle is increased by 10% and the area is unchanged , then by what percentage must the width be decreased ?
Click here to see answer by ankor@dixie-net.com(15652)

Question 174753: write the fraction as a percent.
13. 28/32 14. 39/60

do it step by step and there is more
Click here to see answer by Mathtut(3670)

Question 174767: write the fraction as a decimal
15. 250/625 16. 120/32

please who ever is helping me show me how you did it so i can learn show all the work

Click here to see answer by Mathtut(3670)

Question 174771: write the fraction as a decimal
17. 99/450 18. 180/80

please who ever is helping me show me how you did it so i can learn show all the work

Click here to see answer by Alan3354(30993)

Question 174773: write the fractionas a decimal
99/450 180/80

pleas show all the work so i know how to do it please

Click here to see answer by Mathtut(3670)

Question 174788: write the fraction as a percent

17. 99/625 18. 180/80

please do it step by step so i learn because i am a visual learner
Click here to see answer by Alan3354(30993)

Question 169269: What number is 205 of 24
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Question 174805: write the fraction as a percent

17. 99 18. 180
---- -----
450 80

please show all the work because i am a visual learner and show the divison dont write it
Click here to see answer by Alan3354(30993)

Question 175012: 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 stanbon(57347)

Question 175056: At a well-known university, 1/4 of the undergraduate students commute, and 1/3 of the graduate students commute. One-tenth of the undergraduate students drive more than 40 miles daily, and 1/6 of the graduate students drive more than 40 miles daily. If there are twice as many undergraduate students as there are graduate students, then what fraction of the commuters drive more than 40 miles daily?
Click here to see answer by Mathtut(3670)

Question 175111: Which one of the following statements expresses a true proportion? 1. 2:3 = 3:2
2. 14:6 = 28:18
3. 3:5 = 12:20
4. 42:7 = 6:2
Click here to see answer by Alan3354(30993)

Question 175124: write the percent as a fraction. simplify if possible
19.68%

please tell me what u do so i can understand

Click here to see answer by stanbon(57347)

Question 175129: write the percent as a fraction. simplify if possible
19.68%

please tell me what u do so i can understand

Click here to see answer by josmiceli(9680)

Question 175121: write the percent as a fraction. simplify if possible
19.68% 20. 35% 21. 79%

please tell me what u do so i can understand

Click here to see answer by ankor@dixie-net.com(15652)

Question 175120: write the percent as a fraction. simplify if possible
19.68% 20. 35% 21. 79%

please tell me what u do so i can understand

Click here to see answer by checkley75(3666)

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