Questions on Word Problems: Mixtures answered by real tutors!

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Question 1103699: A grocer prepares a mixture of 20 lb. of dried apples and pears to sell for $2.95 per pound. Dried apples cost $2.20 per lb. and dry pears cost $3.20 per lb. How much of each type must the grocer use?
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Question 1103821: A mixture of 8% disinfectant solution is to be made from 12% and 5% disinfectant solutions. How much of each solution should be used if 63 gallons of 8% solution are needed?

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Question 1103821: A mixture of 8% disinfectant solution is to be made from 12% and 5% disinfectant solutions. How much of each solution should be used if 63 gallons of 8% solution are needed?

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Question 1103833: A chemist has three different acid solutions. The first acid solution contains 15% acid, the second contains 30% acid, and the third contains 75% acid. He wants to use all three solutions to obtain a mixture of 216 liter containing 25% acid, using 2 times as much of the 75% solution as the 30% solution. How many liters of each solution should be used?
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Question 1103833: A chemist has three different acid solutions. The first acid solution contains 15% acid, the second contains 30% acid, and the third contains 75% acid. He wants to use all three solutions to obtain a mixture of 216 liter containing 25% acid, using 2 times as much of the 75% solution as the 30% solution. How many liters of each solution should be used?
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Question 1103983: David adds 300 mL of water to 450 mL of 60% alcohol solution so as to dilute its concentration to 40%. Does he add too much water to the solution?
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Question 1103983: David adds 300 mL of water to 450 mL of 60% alcohol solution so as to dilute its concentration to 40%. Does he add too much water to the solution?
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Question 1104005: You are a lab technician and must create 250 ml of a 17% salt solution. You have available three stock solutions. You have a one liter container of a 5% salt, a 500 ml container of a 28% salt solution, and a 400 ml container of a 40% salt solution. Show the work necessary to calculate the cheapest method of preparing the 17% salt solution if the 5% salt solution costs $28 per liter, the 28% solution costs $38 per liter, and the 40% solution costs $50 per liter. Be sure to explain in paragraph form why you have selected the amounts of each and the total cost of your selection.

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Question 1104058: You need 630 mL of a 85% alcohol solution. On hand, you have two solutions, one is 50% alcohol, the other is 95% alcohol. How much of each will you need to obtain the desired solution?
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Question 1104059: You need 630 mL of a 85% alcohol solution. On hand, you have two solutions, one is 50% alcohol, the other is 95% alcohol. How much of each will you need to obtain the desired solution?
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Question 1104152: A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is
70%
salt and Solution B is
95%
salt. She wants to obtain
60
ounces of a mixture that is
80%
salt. How many ounces of each solution should she use?

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Question 1104152: A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is
70%
salt and Solution B is
95%
salt. She wants to obtain
60
ounces of a mixture that is
80%
salt. How many ounces of each solution should she use?

Click here to see answer by ikleyn(52787) About Me 

Question 1104195: A chef is going to use a mixture of two brands of Italian Dressing. The first brand contains 8% vinegar, and the second brand contains 14% vinegar. The chef wants to make 240 milliliters of a dressing that is 12% vinegar. How much of each brand should she use.
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Question 1104195: A chef is going to use a mixture of two brands of Italian Dressing. The first brand contains 8% vinegar, and the second brand contains 14% vinegar. The chef wants to make 240 milliliters of a dressing that is 12% vinegar. How much of each brand should she use.
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Question 1104269: An alloy is 70% iron. How much of this alloy do you need if you want to obtain 50 7 20 lb of iron?

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Question 1104555: Dr. Jekyll needs 12 liters of a 40% solution to become Mr. Hyde.
He must mix a 20% solution and a 50% solution. How many liters of
each will be required to obtain what he needs?

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Question 1104617: A store is having a sale on trail mix and jelly beans. For
2pounds of trail mix and 3 pounds of jelly beans, the total cost is
$10. For 4 pounds of trail mix and 8 pounds of jelly beans, the total cost is $25. Find the cost for each pound of trail mix and each pound of jelly beans.

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Question 1104838: if holstein cows produce milk that is on average 3.66% butterfat and jersey cows produce milk that is on average 4.5% butterfat, how many gallons of jersey milk should be added to every 100 gallons of Holstein milk to have milk that is 4% butterfat
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Question 1104838: if holstein cows produce milk that is on average 3.66% butterfat and jersey cows produce milk that is on average 4.5% butterfat, how many gallons of jersey milk should be added to every 100 gallons of Holstein milk to have milk that is 4% butterfat
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Question 1104823: An actor invests some money at 7​%, and ​$39000 more than twice the amount at 12%. The total annual interest earned from the investment is ​$32580. How much did he invest at each​ amount? Use the​ six-step method.
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Question 1104933: A plant food contains 4 cups of water and 1 cup of concentrate. If a mixed solution of the 2 ingredients is 23 cups, how many cups of water are used? Round to nearest 2 decimal places
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Question 1105143: how many quarts of a pure solution must be added to 3.5 quarts of a 5% solution to get a 12.5% solution
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Question 1105175: At Clucker's Chicken, a bucket of 4 pieces of dark meat and 5 pieces of white meat costs $7.05. A bucket of 3 pieces of dark meat and 8 pieces of white meat costs $8.90. Find the cost of a piece of dark meat and of a piece of white meat.

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Question 1105178: Students are chosen for a scholarship based on their scores on tests of mathematics and verbal achievement. A student's qualifying score is found by doubling his verbal score and adding his math score. Gretchen's math score was 54 points higher than her verbal score. Her qualifying score was 1782. Find Gretchen's math and verbal scores.

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Question 1105178: Students are chosen for a scholarship based on their scores on tests of mathematics and verbal achievement. A student's qualifying score is found by doubling his verbal score and adding his math score. Gretchen's math score was 54 points higher than her verbal score. Her qualifying score was 1782. Find Gretchen's math and verbal scores.

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Question 1105685: tin that was 35% pure was melted together with tin that was 45% pure to make 20 kilograms of an alloy that was 39% pure. how many kilograms of each were used
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Question 1105736: two workers take 12 days to paint a house. they work at different speeds. the first worker could paint the house on his own in 18days. how long would it take the second worker to paint the house on his own?
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Question 1105788: Find a polynomial equation with integral coefficients and of lowest degree that has the following as roots
1.) -1 , 1 , and 2
2.) -2, √2 , and 1
3.) -2 , + or - i√3

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Question 1105982: The pressure exerted by a certain liquid at a given point varies directly as the depth of the point beneath the surface of the liquid. The pressure at 60 feet is 22 pounds per square inch. What is the pressure at 150 feet?
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Question 1106175: A 4% solution of local anesthesia is needed. However, 40 fl oz of a 5% solution is the only type of anesthesia in stock. How much neutral solution containing no anesthesia should be added to the 40 fl oz container of the 5% solution?

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Question 1106175: A 4% solution of local anesthesia is needed. However, 40 fl oz of a 5% solution is the only type of anesthesia in stock. How much neutral solution containing no anesthesia should be added to the 40 fl oz container of the 5% solution?

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Question 1106175: A 4% solution of local anesthesia is needed. However, 40 fl oz of a 5% solution is the only type of anesthesia in stock. How much neutral solution containing no anesthesia should be added to the 40 fl oz container of the 5% solution?

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Question 1106246: A lab technician mixed a 650650 ml solution of water and alcohol. If​ 3% of the solution is​ alcohol, how many milliliters of alcohol were​ used, and how many milliliters of water were​ used?
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Question 1106437: Abdul is making a lemon drink. He mixes 9 parts of water with 2 parts of lemon juice. He uses 100 ml of lemon juice. How much water does he use?
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Question 1106437: Abdul is making a lemon drink. He mixes 9 parts of water with 2 parts of lemon juice. He uses 100 ml of lemon juice. How much water does he use?
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Question 1106443: Write 7.03 x 10-3 as an ordinary number
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Question 1106577: Evan wants to combine two fruit drinks to get 50 liters of a drink that will be 8% sugar. Drink A is 4% sugar and drink B is 9% sugar. How much of each drink should he use?

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Question 1106577: Evan wants to combine two fruit drinks to get 50 liters of a drink that will be 8% sugar. Drink A is 4% sugar and drink B is 9% sugar. How much of each drink should he use?

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Question 1106716: A 800 mL flask containing 40% alcohol mixture and 600 mL flask containing a 60% alcohol mixture are put together in a single large flask. How many percent of alcohol is the resulting mixture?
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Question 1106762: Joanna deposited $21,000 in 2 banks. One bank gives 2.5% interest the other gives 3.25% Annual interest. How much did she deposit in each bank if she receives a total of $615 annual interest?
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Question 1106763: Carl and Antonio are friends who live 20 miles apart. They are making plans to meet up. Carl will walk from his house towards Antonio's. Carl can walk at a speed of 4 mph. Antonio will jog from his house to Carl's. Antonio can jog at a speed of 6 mph. Their wives will pick them up. If they both leave at the same time, how long will it take them to meet up?
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Question 1106872: metalworker has a metal alloy that is 3030​% copper and another alloy that is 6565​% copper. How many kilograms of each alloy should the metalworker combine to create 120120 kg of a 5151​% copper​ alloy?

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Question 1106907: if solution a contains 60% calcuim and solution b contains 30% calcium.how much of each solution should be mixed in order to create 100 cups of a solution that contains 36% calcuim
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Question 1106959: TWO DIFFERENT SOLUTIONS OF ALCOHOL WITH RESPECTIVE PROPORTIONS OF WATER TO ALCOHOL OF 3:1 AND 3:2 WERE COMBINED .WHAT IS THE CONCENTRATION OF ALCOHOLIN THE NEW SOLUTION SOLUTION IF THE ORIGINAL SOLUTIONS WERE MIXED IN EQUAL AMOUNT
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Question 1106959: TWO DIFFERENT SOLUTIONS OF ALCOHOL WITH RESPECTIVE PROPORTIONS OF WATER TO ALCOHOL OF 3:1 AND 3:2 WERE COMBINED .WHAT IS THE CONCENTRATION OF ALCOHOLIN THE NEW SOLUTION SOLUTION IF THE ORIGINAL SOLUTIONS WERE MIXED IN EQUAL AMOUNT
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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, 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, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245