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Tutors Answer Your Questions about Mixture Word Problems (FREE)


Question 52232: Adult tickets for a play cost $5 and children tickest cost $2 for 1person. 460 tickets were sold. Recipts for person were $1880. Find the # of adult tcikets sold. You must use the chart.(first colmn in chart is type, than cost,and lastly value) the answer is 320. But I dont know what they plugged into the chart to get this answer. I have the types as Adult, children, and mixture. Cost as 5,2,and 7. And the value as 5x, 2(460-%x) and (460)7. What am I doing wrong?
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Question 49678: a restaurant chef mixes 20 lb of snow peas costing 1.99 a pound with 14 lb of petite onions costing 1.19 a pound to make a vegetable medley for the evening meal. find the cost per pound of of the mixture.
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Question 49562: A tank contains 20 liters of a mixture of alcohol and water which is 40% alcohol by volume. How much of the mixture should be removed and replaced by an equal volume of water so that the resulting solution will be 25% alcohol by volume? Thanks a lot!
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Question 57310: Your assistance is greatly appreciated.
Angela needs 20 quarts of 50% antifreeze solution in her radiator. She plans to obtain this by mixing some pure antifreeze with an appropriate amount of 40% antifreeze solution. How many quarts of each should she use?

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Question 25920: Here is the question. I know that there is a way to set these up, and the instructor said I would start to see a pattern, but she does not explain clearly how to do these. I am confused.
60 fluid ounces of a 15% muriatic acid solution is needed to kill algae in a pool. If the technician has a 5% solution and a pure solution on hand, how many ounces of each must be combined to create the 15% solution?
I tried to set it up like this:
.05X+.10(.15-X)=24(.15)
I am getting my numbers put in the wrong place. Please help me.
Thank you. Donna

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Question 49580: How many Liters of a 50% alcohol solution must be mixed with 40 Liters to obtain a 60 Liter solution?
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Question 49561: A tank contains 20 liters of a mixture of alcohol and water which is 40% alcohol by volume. How much of the mixture should be removed and replaced by an equal volume of water so that the resulting solution will be 25% alcohol by volume?
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Question 61434: Peggy has a 500 milliliters of a 60% solution of copper sulfate. How many milliliters of a 30% solution of copper sulfate should be added to obtain a 50% solution?
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Question 49546: Dearest tutors, can you help me regarding my problem? thank you for that..
1. A chemist wanted to mix milk testing 3% butterfat with cream and testing 28% butterfat. How many quartz of each kind must the chemist use to produce a mixture of 10 gallons which shall test 18% butterfat?

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Question 48607: A candy store owner wishes to mix candy that sells for $3 per pound with candy selling for $4 per pound to make a mixture to sell for $3.60 per pound. How many pounds of each kind of cany should be used to make an 80 pound mixture?
Thank you

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Question 48604: a coin collector has $45 in quarters and dimes. How many coins of each does he have is the total number of his coins is 240?
Thank you very much!

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Question 62407: A food shop mixes nuts selling at $16/lb with fruit selling at $3/lb. They want a mixture of 7 lb. to sell at $12/lb. How many pounds of each should they use?
I tried: $16(n)+ $3(7 - n) = $12(7) and got n = 4 and 9/13 lb. so
f = 2 and 4/13 lb. Is this right?

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Question 62965: How many gallons of a 20% ammonia solution must be mixed with a 5% ammonia solution to create 20 gallons of 11% ammonia solution?
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Question 63244: I am having problems setting up these word problems on travel time, average speed and mixtures. Please help!
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Question 63246: How many grams of salt must be added to 50 grams of a 20% solution in order to increase the content to 25%?
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Question 63246: How many grams of salt must be added to 50 grams of a 20% solution in order to increase the content to 25%?
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Question 63247: A man invested a sum of money at 3% and three times that amount at 2%. If the total interest received on the investments was Php 270, find the sum invested at each rate
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Question 63287: a leather jacket has a sale price 0f $102 if the sale price is 0ne third off the orignal sale price what was the orignal price of the jacket
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Question 63752: A metal alloy is 25% copper. Another metal alloy is 50% copper. How much of each alloy should be mixed to create 1000 grams of an alloy that is 45% copper?
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Question 63761: A store is selling CD's for $10.50 and for $8.50. You buy 10 total and spend $93.00. How many of each price did you buy?
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Question 63782: How much water must be evaporated from 240 gallons of a 3% salt solution to produce a 5% salt solution?
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Question 63759: A health food store mixes granola that costs them $4 per pound and raisins that cost them $2 per pound together to make 25 pounds of raisin granola. How many pounds of each do they need to produce a mixture that costs them $80?
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Question 63758: A health food store mixes granola that costs them $4 per pound and raisins that cost them $2 per pound together to make 25 pounds of raisin granola. How many pounds of each do they need to produce a mixture that costs them $80?
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Question 63899: Please help me solve this equation. {How many grams of 4% salt solution must be mixed with 80 grams of 11% salt solution to make an 8% salt solution?}
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Question 64235: The chemical formula for sulfuric acid is h2so4. If the weight of the acid was 1470 grams, how much did the sulfur weight? (h : 1, s : 32, O 16)
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Question 64610: How much water must be evaporated from 32 ounces of a 4% salt solution to make a 7% salt solution?
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Question 64809: a silversmith has two alloys. the first alloy is 18% silver and the second is 54% silver. how many grams of each should be mixed to produce 120 grams of an alloy that is 39% silver?

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Question 64828: I can not figure out this math problem and need help. The question says, "Bill wnats 30 pounds of a coffee blend that he can sell for $7.00 per pound. If he has coffee that sells for $6.00 a pound and another brand that sells for $7.50 per pound, how many pounds of each brand should he use to make his blend?"
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Question 64840: What percent of weight Na2s203 is sulfur (S)? (na 23, S 32 O 16)?
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Question 64839: A druggist needs 25 liters of a solution that is 16% iodine. She has one solution that is 12% iodine and another solution that is 37% iodine. How many liters of each solution should the druggiest use?
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Question 65085: The volume of a quantity of ideal gas was help constant. The inital pressure and temperature were 8000 torr and 1500 kelvins. What was the final pressure if the temperature was raised to 3270 Kelvins?

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Question 65087: How much pure antifreeze should be added to 300 gallons of 30 percent antifreeze solution to raise the antifreeze solution to 40 percent?
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Question 65087: How much pure antifreeze should be added to 300 gallons of 30 percent antifreeze solution to raise the antifreeze solution to 40 percent?
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Question 65445: An 80 % idodine solution is to be mixed with a 40% iodine solution. How much of each should be used to get 12,000 milliliters of a 64% iodine solution?
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Question 65429: The volume of a quantity of an ideal gas was held constant. The inital pressure and temperature were 8000 torr and 1500 kelvins. What was the final pressure if the temperature was raised to 3270 kelvins.
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Question 65444: A quantity of an ideal gas had initial pressure of 0.03 * 10^9 atmospheres, initial volume of 0.007 * 10^-2cm^3, and inital temperature of 7000 kelvins. Find the final temperature if the final pressure was 3000 * 10^3 atmospheres and the final volume was 30,000cm^3. solve the equation for t2 as the first step.
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Question 65511: Exactly how many liters of pure alcohol must be added to 50 liters of a 25% alcohol solution to obtain a 45% solution?
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Question 65511: Exactly how many liters of pure alcohol must be added to 50 liters of a 25% alcohol solution to obtain a 45% solution?
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Question 65511: Exactly how many liters of pure alcohol must be added to 50 liters of a 25% alcohol solution to obtain a 45% solution?
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Question 65516: (46) Science and medicine. Celsius temperature readings can be converted to Fahrenheit readings using the formula F=9/5C + 32. What is the Fahrenheit temperature that corresponds to eachof the following Celsius temperatures: -10, 0,15,100?
(48)Business and finance. When x number of units are sold, the price of each unit(in dollars) is given by p= -x/2 +75. Find the unit price when the following quantities are sold:2,7,9,11.
(64) Business and finance. The revenue for a sandwich shop is directly proportional to its advertising budget.When the owner spent $2000 a month on advertising. The revenue was $120,000. If the revenue is now $180,000. how much is the owner spending on advertising?

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Question 65506: I+(I+2)(3) THere are 9 fewer math books than English books. Write an expression for the total number of books.
(6) A large drink cost 50 cents more than a small drink. Write an expression for the total cost of 3 small drinks and 2 large drinks.
Directions: Write an expression for each of the following.
(9) The sum of an even integer and two times the next even integer
(12) The sum of 1/4 of an integer, 1/5 of the next integer, and 1/2 of the following integer
Directions: solve
(15) The sum of a number and 2/5 of itself is 56. What is the number?
(18) The sum of two consecutive even integers is 106. What are the integers?
(21)Critical thinking: Read exercise 19. Let x be the second of the three consecutive intergers. Then redo Exercise 20 using a similar procedure. so, #19 states the following: The sum of three consecutive integers is 126. What are the integers? and #20 states the following: The sum of three conecutive odd integers is 189 . what are the integers?
(24) Critical thinking: Abraham Lincoln's 1863 Gettysburg address refers to the year 1776 as "four score and seven years ago". Write an equation and solve for a score.
(27) A 48-ft wire is cut into three pieces. The second piece is three times as long as the first piece. THe third piece is four times as long s the second piece. How long is each piece?
(30) After a 20% discount, an item was sold for $9600. What was the original price of the item?

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Question 65505: Solve:
(27) A watch loses 2 minutes every 15hours. How much time will it lose in 2 hours?
(30) The ratio of international students to U.S.student at a college is 2 to 35. How many international students are there if there are 1575 U.S. students?
(33) A television station found that 145 out of the 350 people surveyed watched a special program on education on Monday night. If this survey is repreentative of the total viewing population (12,250 people), about how many people wtched the television special?

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Question 65559: Solve each of the following systems by addition. If a unique solution does not exist, state whether the system is inconsistent or dependent.
x +5y = 10
-2x – 10y = -20

Solve each of the following problems. Be sure to show the equations used for the solution.
Number problems. Jill has $3.50 in nickels and dimes. If she has 50 coins, how many of each type of coin does she have?

Business and finance. A coffee merchant has coffee beans that sell for $9 per pound and $12 per pound. The two types are to be mixed to create 100 Lb of a mixture that will sell for $11.25 per pound. How much of each type of bean should be used in the mixture?

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Question 47273: At which points does the graph of f(x)=x^2+4x-5=0 intersect the x-axis?
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Question 41431: Mr. Jones says that he has 3 daughters, the product of whose s is 72. Furthermore, the sum of their ages is equal to his house number. A mathematician claims that even though he knows the house number, not enough information has been given to determine their ages. Thereupon, Mr. Jones adds that his youngest daughter likes raspberry yogurt. Smilingly, the mathematician announces the ages of the girls. What are the ages of the daughters?
Thak you -this really confuses me


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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