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

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Question 1195448: Clifford had 80% fewer sweets than Ashwin. After Ashwin gave 210 sweets to Clifford, Clifford had 2/3 as many sweets as Ashwin. How many sweets did each of them have in the end?
(a) Ashwin
(b) Clifford

Click here to see answer by MathTherapy(10801) About Me 

Question 1210594: Luka and his friends are preparing for a local bazaar. Luka spent 2 1/2 hours making friendship bracelets, which was 3/4 of the time he spent baking cookies. The ratio of the number of cookies he baked to the number of bracelets he made was 5:2.
1. How many hours did Luka spend baking cookies?
2. If he sold 3/5 of his cookies and 1/2 of his bracelets, and he had 48 cookies left, how many bracelets did he have remaining?

Click here to see answer by KMST(5341) About Me 
Question 1210594: Luka and his friends are preparing for a local bazaar. Luka spent 2 1/2 hours making friendship bracelets, which was 3/4 of the time he spent baking cookies. The ratio of the number of cookies he baked to the number of bracelets he made was 5:2.
1. How many hours did Luka spend baking cookies?
2. If he sold 3/5 of his cookies and 1/2 of his bracelets, and he had 48 cookies left, how many bracelets did he have remaining?

Click here to see answer by MathTherapy(10801) About Me 
Question 1210594: Luka and his friends are preparing for a local bazaar. Luka spent 2 1/2 hours making friendship bracelets, which was 3/4 of the time he spent baking cookies. The ratio of the number of cookies he baked to the number of bracelets he made was 5:2.
1. How many hours did Luka spend baking cookies?
2. If he sold 3/5 of his cookies and 1/2 of his bracelets, and he had 48 cookies left, how many bracelets did he have remaining?

Click here to see answer by ikleyn(53742) About Me 
Question 1210594: Luka and his friends are preparing for a local bazaar. Luka spent 2 1/2 hours making friendship bracelets, which was 3/4 of the time he spent baking cookies. The ratio of the number of cookies he baked to the number of bracelets he made was 5:2.
1. How many hours did Luka spend baking cookies?
2. If he sold 3/5 of his cookies and 1/2 of his bracelets, and he had 48 cookies left, how many bracelets did he have remaining?

Click here to see answer by josgarithmetic(39790) About Me 

Question 1210589: A fruit seller had a collection of apples, pears, and oranges.
Initially, 1/4 of the fruits were apples.
He sold 80 apples and 1/3 of the pears.
After this, he bought more oranges, increasing the number of oranges by 60%.
At this point, the number of pears he had left was twice the number of apples he had left.
Finally, he realized that the total number of fruits he had now was exactly 20% more than the total number he started with.
How many oranges did the fruit seller have at the very beginning?

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Question 1210592: Arthur starts with a certain number of rare trading cards. First. Arthur gives 4 1/2 cards to a local collector to complete a set. After this, the ratio of the cards Arthur has left to the cards he started with is exactly 3:4. Next, Ben takes half of the remaining cards plus another half of a card. Then, Cole takes half of what Ben left behind plus another half of a card. Finally, Dan takes half of what Cole left behind plus another half of a card. After Dan is finished, there are exactly 2 cards left. How many trading cards did Arthur start with?
Click here to see answer by greenestamps(13325) About Me 

Question 1210591: Three brothers—Leo, Sam, and Jax—are sharing a supply of energy bars during a hike. Leo starts the trip with a backpack full of bars. He eats 3 1/2 bars. After eating them, the ratio of the bars he has left to the bars he started with is exactly 3:4. Sam then takes the remaining bars. He eats half of them plus half a bar more. Jax takes what is left. He eats half of that amount plus half a bar more. After Jax is finished, there are exactly 2 bars left in the backpack. How many energy bars did Leo start with?
Click here to see answer by MathTherapy(10801) About Me 
Question 1210591: Three brothers—Leo, Sam, and Jax—are sharing a supply of energy bars during a hike. Leo starts the trip with a backpack full of bars. He eats 3 1/2 bars. After eating them, the ratio of the bars he has left to the bars he started with is exactly 3:4. Sam then takes the remaining bars. He eats half of them plus half a bar more. Jax takes what is left. He eats half of that amount plus half a bar more. After Jax is finished, there are exactly 2 bars left in the backpack. How many energy bars did Leo start with?
Click here to see answer by ikleyn(53742) About Me 

Question 1210590: A fruit seller had a collection of apples, pears, and oranges. Initially, 1/4 of the fruits were apples. He sold 80 apples and 1/3 of the pears. After this, he bought more oranges, increasing the number of oranges by 60%. At this point, the number of pears he had left was twice the number of apples he had left. Finally, he realized that the total number of fruits he had now was exactly 20% more than the total number he started with. How many oranges did the fruit seller have at the very beginning?

Click here to see answer by josgarithmetic(39790) About Me 

Question 1155528: Don Glover borrowed $18,000 for 210 days and paid $702.80 in simple interest on the loan. What annual simple interest rate did Don paid on the loan? (Round your answer to the nearest hundredth of a percent)
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Question 1155532: Hector Elizondo took out a 65-day loan of $7500 at an annual interest rate of 5.5%. Find the simple interest due on the loan. (Round your answer to the nearest cent.)
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Question 1155533: Kristi Yang borrowed $18,000. The term of the loan was 60 days, and the annual simple interest rate was 7.1%. Find the simple interest due on the loan. (Round your answer to the nearest cent.)
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Question 1201771: A Pendulum Is L Meters Long. The Time, R, In Seconds That It Takes To Swing Back And Forth Once Is Given By T=2 Square Root Of L . Suppose The Pendulum Takes 5.42 Seconds To Swing Back And Forth Once. What Is Its Length? Carry Your Intermediate Computations To At Least Four Decimal Places, And Round Your Answer To The Nearest Tenth. Meters ×
Click here to see answer by ikleyn(53742) About Me 

Question 1204130: At 4.45 pm, James, Leo and Noah are at the starting point of a 400-metre circular path. James takes 8 minutes to walk 1 round, Leo takes 180 seconds to run I round while Noah cycles 2 rounds in 3 minutes. Find the time when all three of them will next meet at the starting point.
Click here to see answer by ikleyn(53742) About Me 

Question 1165330: in 2015 the median age at first marriage of U.S. women (27.1) was what percent less than median age at first marriage of U.S. men (29.2 years)
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Question 730075: last month a store manager decided to decrease the prices of all items by 10%. this month he increased the prices by 10%. What would be the price for a pair of pants that had cost $750 before prices were decreased last month??

Please include your solution... thank you in advance!! :)

Click here to see answer by josgarithmetic(39790) About Me 
Question 730075: last month a store manager decided to decrease the prices of all items by 10%. this month he increased the prices by 10%. What would be the price for a pair of pants that had cost $750 before prices were decreased last month??

Please include your solution... thank you in advance!! :)

Click here to see answer by ikleyn(53742) About Me 

Question 731816: Isabelle bought 12 wallet-sized photos for $36. Use a ratio table to determine how much she will pay for 5 more photos.
I drew the ratio table but cannot figure out what to do next. Please help me. Thanks!

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Question 731816: Isabelle bought 12 wallet-sized photos for $36. Use a ratio table to determine how much she will pay for 5 more photos.
I drew the ratio table but cannot figure out what to do next. Please help me. Thanks!

Click here to see answer by ikleyn(53742) About Me 

Question 731830: A television that has a square screen is advertised as having a 38-inch diagonal screen. Which of the following represents the width of the television to the nearest inch?
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Question 731830: A television that has a square screen is advertised as having a 38-inch diagonal screen. Which of the following represents the width of the television to the nearest inch?
Click here to see answer by ikleyn(53742) About Me 

Question 733675: a store is having a sale were all merchindise is 1/4 off . a women spends $36. how much would it have been at regular price

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Question 734916: how do you solve 16 m^2 = ____cm^2
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Question 740765: In a school of 600 students the number of boys is 360.when 60 new students are admitted in the school the ratio of the number of boys to the number of girls became 13:9. find the number of newly admitted boys..?

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Question 740765: In a school of 600 students the number of boys is 360.when 60 new students are admitted in the school the ratio of the number of boys to the number of girls became 13:9. find the number of newly admitted boys..?

Click here to see answer by ikleyn(53742) About Me 

Question 646752: If in the army there is one officer for every 16 privates, how many officers are there in a regiment consisting of 1,105 officers and privates?
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Question 1210397: Andrew bought some apples and pears. The ratio of the number of apples bought to the number of pears bought was 7:4. He spent $61.20. He paid $22.80 more for the apples than the pears. Each apple was $0.30 more than each pears.
(a) How much did he spend on the pears?
(b) How many pears did he buy?

Click here to see answer by MathTherapy(10801) About Me 
Question 1210397: Andrew bought some apples and pears. The ratio of the number of apples bought to the number of pears bought was 7:4. He spent $61.20. He paid $22.80 more for the apples than the pears. Each apple was $0.30 more than each pears.
(a) How much did he spend on the pears?
(b) How many pears did he buy?

Click here to see answer by greenestamps(13325) About Me 
Question 1210397: Andrew bought some apples and pears. The ratio of the number of apples bought to the number of pears bought was 7:4. He spent $61.20. He paid $22.80 more for the apples than the pears. Each apple was $0.30 more than each pears.
(a) How much did he spend on the pears?
(b) How many pears did he buy?

Click here to see answer by ikleyn(53742) About Me 
Question 1210397: Andrew bought some apples and pears. The ratio of the number of apples bought to the number of pears bought was 7:4. He spent $61.20. He paid $22.80 more for the apples than the pears. Each apple was $0.30 more than each pears.
(a) How much did he spend on the pears?
(b) How many pears did he buy?

Click here to see answer by josgarithmetic(39790) About Me 

Question 1210396: Hakim spent 3/8 of his money on 3 cupcakes and 8 muffins. Then he spent 4/5 of the remaining money on 15 pieces of waffle. Each cupcake cost 2/3 as much as a muffin. Each piece of waffle cost $0.20 more than a cupcake. What was the cost of a muffin?
Click here to see answer by MathTherapy(10801) About Me 
Question 1210396: Hakim spent 3/8 of his money on 3 cupcakes and 8 muffins. Then he spent 4/5 of the remaining money on 15 pieces of waffle. Each cupcake cost 2/3 as much as a muffin. Each piece of waffle cost $0.20 more than a cupcake. What was the cost of a muffin?
Click here to see answer by mccravyedwin(419) About Me 
Question 1210396: Hakim spent 3/8 of his money on 3 cupcakes and 8 muffins. Then he spent 4/5 of the remaining money on 15 pieces of waffle. Each cupcake cost 2/3 as much as a muffin. Each piece of waffle cost $0.20 more than a cupcake. What was the cost of a muffin?
Click here to see answer by greenestamps(13325) About Me 

Question 1170245: 1.a) Deduce that the total surface area S of a cylinder closed at both ends with height, H and base radius R is given by: S=2πR(R+H) where π is a constant.
b) Find the volume of S given that H =15.0m and R =5.0m (leaving your answer in terms of π)
c) Calculate the amount of water the tank can hold leaving your answer in terms of π.
d) Calculate the height (h) of a cuboid tank of cross-sectional area 25 metre cube which has the same capacity as the cylinder tank in (c) above.


Click here to see answer by ikleyn(53742) About Me 
Question 1170245: 1.a) Deduce that the total surface area S of a cylinder closed at both ends with height, H and base radius R is given by: S=2πR(R+H) where π is a constant.
b) Find the volume of S given that H =15.0m and R =5.0m (leaving your answer in terms of π)
c) Calculate the amount of water the tank can hold leaving your answer in terms of π.
d) Calculate the height (h) of a cuboid tank of cross-sectional area 25 metre cube which has the same capacity as the cylinder tank in (c) above.


Click here to see answer by CPhill(2189) About Me 

Question 1168192: Kameron paid $3.60 for a book. It was marked down 50% of its original price, and he also used a coupon to save an additional 40% off of the sale price. What was the original price?
Write the answer rounded to the nearest cent. Do not include a $ sign.

Click here to see answer by josgarithmetic(39790) About Me 

Question 1168190: Bummer! Kai lives in California and of course, he has to pay sales tax! The sales tax rate is 8.75%. Now, does he have enough money to bring the backpack of his dream home?
(Original price: $88.95, 40% off and Kai has $55.00 saved up so far.)

Click here to see answer by MathLover1(20855) About Me 

Question 1169039: Picture frame has its length 8cm longer than its width. It has an inner 1-cm boundary such that a maximum 660cm^2- picture may fit into it. Find the dimension of this frame.
Click here to see answer by ikleyn(53742) About Me 

Question 1170408: Good day may you please help me with the following question.
Twenty percent of a mixture of pure milk and water is water. Half liter of wine is added to one liter of the mixture of water and milk and thoroughly mixed. What percentage of the new mixture is water?

Click here to see answer by greenestamps(13325) About Me 
Question 1170408: Good day may you please help me with the following question.
Twenty percent of a mixture of pure milk and water is water. Half liter of wine is added to one liter of the mixture of water and milk and thoroughly mixed. What percentage of the new mixture is water?

Click here to see answer by josgarithmetic(39790) About Me 

Question 1170948: A man would like to invest P 50,000 in government bonds and stocks that will give an
overall annual return of about 5%. The money to be invested in government bonds will
give an annual return of 4.5% and the stocks of about 6%. The investments are in units
of P 100.00 each. If he desires to keep his stock investment to minimum in order to
reduce his risk, determine how many government bonds and how many stocks should he
purchase.

Click here to see answer by CPhill(2189) About Me 

Question 1177674: A model of the base of PBCom Tower in Ayala is a square whose sides measure 28 m. The intent was to make a side that measures 2,805 m. What is the ratio of the square base of the model to the length of the base side of the intended building?
Click here to see answer by CPhill(2189) About Me 

Question 1177676: Students in University of the Philippines built a replica of the NCR on a 45.5-ft diameter globe using a scale of 1: 2,000,000. About how tall is the Mount Everest on the model?
(Note: Mount Everest stands 29,000 feet approximately).

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Question 1179673: There are various formulas for calculating ideal body weight. In each of the formulas in this exercise, W is ideal body weight in kilograms, and x is height in inches above 60 in.
Suppose one researcher gave the following formula for men:
W = 51 + 1.9x.
Suppose another researcher published a slightly different formula for men:
W = 55.2 + 1.44x.
At what height do both formulas give the same ideal body weight? Round to the nearest whole number.

Click here to see answer by CPhill(2189) About Me 

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, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050