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 1165355: A metallurgist needs to make 12 grams of an alloy containing 60% gold. He is going to melt and combine one metal that is 90% gold with another metal that is 40% gold. How much of each should he use?
Click here to see answer by greenestamps(13334)

Question 1165386: An election is over and a new city council member has been elected. The new councilman received 3 votes for every vote received by his opponent. The new councilman received 2736 votes. How many votes did his opponent receive?
Click here to see answer by solver91311(24713)

Question 1165596: The length of a rectangle is reduced by 30%. By what percent would the width have to be increased to maintain the original area?
Click here to see answer by ikleyn(53763)

Question 1165613: The length of a rectangle is reduced by 30%. By what percent would the width have to be increased to maintain the original area?
Please show the working of this problem in detail.
Click here to see answer by josgarithmetic(39799)

Question 1165717: Rachel and Mari is a student athlete, they have played for Manila Meet, Palarong
Pambansa and represented our school in UAAP. So far, Rachel has won 24 out of 40
matches.
a. Write a rational equation for the given
b. How many matches will Rachel have to win in a row to improve her winning percentage
to 75 %?
c. How many matches will Rachel have to win in a row to improve her winning percentage
to 90%?
Click here to see answer by Theo(13342)

Question 1165781: A certain forest covers an area of
2800 km2. Suppose that each year this area decreases by
8. What will the area be after 8 years?
Click here to see answer by josgarithmetic(39799)

Question 1165830: In a test,koko scored 50 marks and dauda scored 15 marks more,what is the ratio of dauda's marks to koko's marks?
Click here to see answer by ikleyn(53763)

Question 1165880: A candy distributor needs to mix a 20% fat-content chocolate with a 30% fat-content chocolate to create 100 kilograms of a 26% fat-content chocolate. How many kilograms of each kind of chocolate must they use?
A) Write an equation that uses the information as it is given above that can be used to solve this problem. Use
x
x
as your variable to represent the quantity of 20% fat-content chocolate.
Equation:
B) Answer: They must mix
Kilograms of the 20% chocolate and
Kilograms of the 30% chocolate.
Click here to see answer by josgarithmetic(39799)

Question 1165951: In 2010, the population of a large city was 42.1 million. This represents an 11% increase over the
population in 1990. Find the population in 1990. Round your answer to the nearest tenth of a million.
Click here to see answer by Boreal(15235)

Question 1165931: A family has two cars. During one particular week, the first car consumed 30 gallons of gas and the second consumed 35 gallons of gas. The two cars drove a combined total of 1650 miles, and the sum of their fuel efficiencies was 50 miles per gallon. What were the fuel efficiencies of each of the cars that week?

Click here to see answer by Theo(13342)

Question 1165981: You have 6 liters of pineapple juice blend that is 50% pineapple juice. If x is the amount of pineapple juice to be added, how many liters of pineapple juice needs to be added to make a juice blend that is 75% pineapple juice?

Click here to see answer by josgarithmetic(39799)

Question 1166013: In triangle ABC, the measure of angle B is 2 more than three times the measure of angle A. The measure of angle C is 43 more than the measure of angle A. Find the measure of each angle.
Angle A measure ?
Angle B measure ?
Angle C measure ?

Click here to see answer by josgarithmetic(39799)

Question 1166016: There are currently 7,456 police officers in a particular state. 3,211 of them are females. What percent of the officers are female? What proportion of the officers are female? What percent are males? What proportion are males?
Click here to see answer by josgarithmetic(39799)

Question 1166070: A certain drug is made from only two ingredients: compound A and compound B. There are 4 milliliters of compound A used for every 5 milliliters of compound B. If a chemist wants to make 612 milliliters of the drug, how many milliliters of compound A are needed?
Click here to see answer by htmentor(1343)

Question 1166120: The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be reduced to half its initial mass. Starting with 115 grams of a radioactive isotope, how much will be left after 4 half-lives?
Click here to see answer by ikleyn(53763)

Question 1166166: If Trey checks his pulse for 6 minutes, what is his rate if he counts 594 beats?
Click here to see answer by Alan3354(69443)

Question 1166227: Joan has one solution that is 18% acid and a second solution that is 43% acid how many liters of each should she mix together in order to get an 80 liters solutions that is 26.5% acid
Click here to see answer by Theo(13342)

Question 1166426: A sum of $594 is to be divided between two people in the ratio of 2 to 7. How much does each person receive?
Click here to see answer by josgarithmetic(39799)

Question 1166458: In the NBA this season, the Golden State Warriors has a standing of 15 wins
with 50 losses. The 8th-seeded Portland Trailblazers meanwhile has a standing of 35
wins and 39 losses and was included in the playoffs. Assuming that the Warriors wins all
their remaining games, how many games will it take for them to get ahead of the
Trailblazers?

Click here to see answer by Boreal(15235)

Question 1166485: if Mary had $15 for packet money . she spent 1/3 of it at snackette and put the rest in her savings box . how much did she spent and how much did she put it in her saving box
Click here to see answer by ikleyn(53763)

Question 1166629: Two bond funds pay interest at rates that differ by 3%. Money invested for one year in the first fund earns $400 interest. The same amount invested in the other fund earns $520. Find the lower rate of interest.
%
Click here to see answer by ankor@dixie-net.com(22740)

Question 1166680: What is your expected value for a game whose probabilities and outcomes are given in the following table?
%
Probability Profit
0.5 You win 1.9 times your wager.
0.1 You win your wager.
0.1 You lose 2 times your wager.
0.3 You win nothing.
Click here to see answer by greenestamps(13334)

Question 1166817: In a fruit cocktail, for every 18 ml of orange juice you need 3 ml of apple juice and 54 ml of coconut milk. What is the ratio of apple juice to coconut milk to orange juice expressed in its simplest form?

Click here to see answer by josgarithmetic(39799)

Question 1166816: A patient order is 30 mg of a drug. Available in stock is 90 mg in 1 mm of liquid. How many millimeters should be administered?
Click here to see answer by ikleyn(53763)

Question 1166896: you normally types 50 words per minute. Then you took a course in typing faster. You now type 65 words per minute. How significant is that change?
Click here to see answer by Edwin McCravy(20081)

Question 1166932: Lucy has 11 more dimes than pennies. She has $10.12 total. How many of each type of coin does she have?
Click here to see answer by josgarithmetic(39799)

Question 1166932: Lucy has 11 more dimes than pennies. She has $10.12 total. How many of each type of coin does she have?
Click here to see answer by greenestamps(13334)

Question 1166992: A business earn a profit of Rs.37,000 which has to divide among three friends such that ratio of second friend is 1/4 of the third friend and the ratio between the first and the third friend is 3 : 5. How much each friends get from the profit amount
Click here to see answer by Theo(13342)

Question 1167032: A boy and his sister share a sum of money in the ratio5:4 what total amount of money is the boys share and the sisters share
Click here to see answer by josgarithmetic(39799)

Question 1167085: In a class of 30 students, 20%have back hair, 10%have blond hair, 70%have brown hair. Calculate the number of students with;
a) black hair
b)blonde hair
c)brown hair
Click here to see answer by dkppathak(439)

Question 1167153: Lina had a piece of tape 4 1/2 meters long. She used 2/5 of it. What part of the tape was not used?

Click here to see answer by Theo(13342)

Question 1167152: Rene had a box of cupcakes of which she gave 1/2 to her friend John. John gave 3/4 of his share to his friend elena. What part of the original box of cupcakes did Elena get?

Click here to see answer by Theo(13342)

Question 1167151: Rizalyn has 64 stamps. Lilian has 1 1/2 times as many as Rizalyn. Ely has 3/4 as many as Lilian. How many stamps do the girls have altogether?

Click here to see answer by Theo(13342)

Question 1167150: There are 90 balloons for sale at the fair, 7/10 of the balloons are blue. 1/5 are red, and the rest are yellow. How many yellow balloons are there?

Click here to see answer by Boreal(15235)

Question 1167234: A truck can travel 10 3/4 kilometers in one hour. How far can it travel in 2 1/3 hours

Click here to see answer by Theo(13342)

Question 1167232: Pilar bought 8 3/4 kg of fruit. She put 5/8 of them were girls, how many are boys?
Click here to see answer by Theo(13342)

Question 1167233: A truck can travel 10 3/4 kilometers in one hour. How far can it travel in 2 1/3

Click here to see answer by ikleyn(53763)

Question 1167230: There were 100 children at the birthday party. If 2/3 of them were girls, how many are boys?
Click here to see answer by ikleyn(53763)

Question 1167355: Each marble bag sold by Miguel's Marble Company contains 3 green marbles for every 5 purple marbles. If a bag has 45 purple marbles, how many green marbles does it contain?
Click here to see answer by ikleyn(53763)

Question 1167428: City A is growing at a rate of 6.5%/year and starts with a population of 100,000. City B has a growth rate of 4.58%/year and starts with a population of 250,000.
(a) Model the population of City A.
(b) Model the population of City B.
(c) What will the population of City A be in 10 years? Estimate using two decimal places.
(d) When will the population of City B reach 300,000? Estimate using two decimal places.
(e)When will the population of City A equal the population of City B? Estimate using
two decimal places.
Click here to see answer by Theo(13342)

Question 1167430: There are 5500 lbs of a radioactive element with a half life of 5 years. What is its continuous decay rate? Please write your answer as a percentage using 2 decimal places.
Click here to see answer by solver91311(24713)

Question 1167429: Kenneth ran into some money and decides to invest it for retirement. He has $75,000 to invest over
40 years. Find the effective rates given:
(a) 4.5% growth compounded monthly.
(b) 4.45% growth compounded continuously.
(c) Should Kenneth invest in option (a) or option (b)? Why?
Click here to see answer by Theo(13342)

Question 1167679: A book sold copies in its first month of release. Suppose this represents of the number of copies sold to date. How many copies have been sold to date?
Click here to see answer by Alan3354(69443)

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