Questions on Word Problems: Mixtures answered by real tutors!

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Question 720057: How many pints of pure water must be mixed with 3 pints of 70% acetic acid to produce a mixture that is 20% acetic acid? Thank you so much in advance.
Click here to see answer by richwmiller(17219) About Me 

Question 900767: Hi. Here's the textual form of the problem; How many liters of a 6 \% solution of salt should be added to a 22 \% solution in order to obtain 544 liters of a 13 \% solution?
The way I've been setting it up is
.06x+.022(544-x)=.13
but my final result ends up being -239.36 liters. I have a feeling that one is way wrong, so I'd appreciate any help you'd be willing to offer!
Thanks in advance- the service you guys provide is amazing. Thank you!

Click here to see answer by ewatrrr(24785) About Me 
Question 900767: Hi. Here's the textual form of the problem; How many liters of a 6 \% solution of salt should be added to a 22 \% solution in order to obtain 544 liters of a 13 \% solution?
The way I've been setting it up is
.06x+.022(544-x)=.13
but my final result ends up being -239.36 liters. I have a feeling that one is way wrong, so I'd appreciate any help you'd be willing to offer!
Thanks in advance- the service you guys provide is amazing. Thank you!

Click here to see answer by MathTherapy(10552) About Me 

Question 900786: A chemist needs 130 mL of a 28% solution but has only 18% and 83% solutions available. Find how many mL of each solution should be mixed to get the desired solution.
The answer is 110mL of 18%: 20mL of 83%
I don't know how to set it up.

Click here to see answer by richwmiller(17219) About Me 
Question 900786: A chemist needs 130 mL of a 28% solution but has only 18% and 83% solutions available. Find how many mL of each solution should be mixed to get the desired solution.
The answer is 110mL of 18%: 20mL of 83%
I don't know how to set it up.

Click here to see answer by MathTherapy(10552) About Me 

Question 900782: How many ounces of pure gold that costs $850 per ounce must be mixed with 25 ounces of a gold alloy that costs $500 per ounce to make a new alloy that costs $725 per ounce?
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Question 900833: How much water must be evaporated from 20 ounces of a 1 % salt solution to make a 5 % salt solution?
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Question 900833: How much water must be evaporated from 20 ounces of a 1 % salt solution to make a 5 % salt solution?
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Question 900833: How much water must be evaporated from 20 ounces of a 1 % salt solution to make a 5 % salt solution?
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Question 900868: How much pure alcohol is in 70L of a 20% alcohol solution?
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Question 899242: You have a solution mixed at 8 g/ml and need 81 gallons mixed at 4 g/ml. How many gallons of water need to be added to the 8 g/ml solution? Round answers to the nearest tenth of a gallon
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Question 900885: Bottle A contains an 70% acid solution. Bottle B contains a 30% solution of the same acid. How many cc from bottle A should be mixed with solution from bottle B to make 40 cc of a mixture which is 40% acid?
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Question 900903: 2000mg of salt is mixed with 50ml of water how much slat per ml of water
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Question 900947: how much pure acid should be mixed with 2 gallons of a 40% acid solution in order to get a 70% acid solution?
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Question 900947: how much pure acid should be mixed with 2 gallons of a 40% acid solution in order to get a 70% acid solution?
Click here to see answer by richwmiller(17219) About Me 

Question 901089: A merchant blends tea that sells for $5.00 a pound with tea that sells for $2.00 a pound to produce 120 lb of a mixture that sells for $3.90 a pound. How many pounds of each type of tea does the merchant use in the blend?
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Question 901003: you have $50,000 to invest and two funds that you'd like to invest in the you risk it fund (fund y ) yield 14% interest the extra dull fund (fund x) yields 6% interest because of collage financial aid implication ,you don't think you can afford to earn more than $4,500 in interest income this year how much should you put in each fund ?
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Question 895619: a mother invest $13,000.00 for her son's future education she invests a portion of the money in a bank certificate of deposit (cd account) which earns 4% and the remainder in a savings bond that earns 7%. if the total interest after one year is $780.00, how much money was invested in the cd account.
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Question 893522: An actor invests some money at 7%, and $41000and more than four times the amount of 10%. The total annual interest earned from the investment is $44990. How much did he invest at each amount? Use the six step method.
He invested ? at 7%
He invested ? at 10%

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Question 901166: A certain metal is 40% copper. How many kilograms of this metal must be mixed with 80kg of a metal that is 70% copper to get a metal that is 50% copper?
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Question 901172: Translate the statement into an algebraic expression or equation: The amount of water in q quarts of a liquid that is 93% water.
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Question 901161: amounts of a 35% acid solution and a 65% acid solution are to be mixed to produce 24 gallons of a 45% acid solution. how many gallons of the 35% acid solution and how many gallons of the 65% acid solution should be used?
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Question 901161: amounts of a 35% acid solution and a 65% acid solution are to be mixed to produce 24 gallons of a 45% acid solution. how many gallons of the 35% acid solution and how many gallons of the 65% acid solution should be used?
Click here to see answer by MathTherapy(10552) About Me 

Question 895488: How much water should be added to 30 l of a 40% acid solution to reduce it to a 30% solution ?

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Question 901252: an alcoholic drink contains 12% alcohol by volume. Calculate the volume in ml of alcohol present in a 800 ml wine

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Question 901289: Keith brought 20 pounds of sugar for 12 dollars. How many dollars did he pay per pound of sugar

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Question 901336: how much water must be evaporated from 32 gallons of a 10% salt solution in order to obtain a 20% salt solution
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Question 901362: Sally has a recipe that calls for horseradish sauce that is 50% pure horseradish. at the grocery store she finds one horseradish sauce that is 10% pure horseradish and another that is 60% pure horseradish. how many teaspoons of each horseradish sauces should sally mix together to get 4 teaspoons of horseradish sauce that is 50% pure horseradish?
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Question 901488: A silversmith mixed 45g of a 70% silver alloy with 40g of a 25% silver alloy. What is the percent concentration of the resulting ally? Round your answer to one decimal place
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Question 901488: A silversmith mixed 45g of a 70% silver alloy with 40g of a 25% silver alloy. What is the percent concentration of the resulting ally? Round your answer to one decimal place
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Question 901488: A silversmith mixed 45g of a 70% silver alloy with 40g of a 25% silver alloy. What is the percent concentration of the resulting ally? Round your answer to one decimal place
Click here to see answer by MathTherapy(10552) About Me 

Question 901541: Suppose you have 6 oz of milk and mix 2 oz of chocolate syrup. Then, you pour out 2 oz of the mixture. How much chocolate syrup remains? I know the answer is 1 1/2, but can you please explain? Thanks so much!
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Question 901541: Suppose you have 6 oz of milk and mix 2 oz of chocolate syrup. Then, you pour out 2 oz of the mixture. How much chocolate syrup remains? I know the answer is 1 1/2, but can you please explain? Thanks so much!
Click here to see answer by josgarithmetic(39618) About Me 

Question 901546: How many liters of water should be evaporated from 160 liters of a 12% saline solution so that the solution that remains is a 20% saline solution?


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Question 901546: How many liters of water should be evaporated from 160 liters of a 12% saline solution so that the solution that remains is a 20% saline solution?


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Question 901571: A goldsmith combined pure gold that cost $ 1475 per ounce with an alloy of gold that cost $ 625 per ounce. How many ounces of each were used to make 50 oz of gold alloy costing $ 880 per ounce?
Click here to see answer by josgarithmetic(39618) About Me 

Question 901572: A merchant blends tea that sells for $4.70 a pound with tea that sells for $2.95 a pound to produce 70 lb of a mixture that sells for $3.20 a pound. How many pounds of each type of tea does the merchant use in the blend?
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Question 901586: one alloy containing 41% aluminum and the other containing 70% aluminum. How many pounds of each alloy must he use to make 50 pounds of a third alloy containing 61%
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Question 901586: one alloy containing 41% aluminum and the other containing 70% aluminum. How many pounds of each alloy must he use to make 50 pounds of a third alloy containing 61%
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Question 901531: how many liters each of 60% acid solution and 80% acid solution must be used to produce 60 liters of 70% acid solution?
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Question 901622: One solution is 16 % acid and another is 2 % acid. How many cubic centimeters of each should be mixed to obtain 100 cubic centimeters of a solution that is 7 % acid?
Round answers to the nearest integer.

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Question 901622: One solution is 16 % acid and another is 2 % acid. How many cubic centimeters of each should be mixed to obtain 100 cubic centimeters of a solution that is 7 % acid?
Round answers to the nearest integer.

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Question 901649: A pound of dried pineapple bits sells for $6.59, a pound of dried banana chips sells for $4.39, and a pound of raisins sells for $2.79. Two pounds of raisins are to be mixed with equal amounts of pineapple and banana to create a trail mix that will sell for $4.99 a pound. How many pounds of pineapple and banana chips should be used?
Click here to see answer by josgarithmetic(39618) About Me 

Question 901716: A merchant blends tea that sells for $4.10 a pound with tea that sells for $2.10 a pound to produce 60 lb of a mixture that sells for $3.30 a pound. How many pounds of each type of tea does the merchant use in the blend?
I have tried setting this problem up so many different ways and continue to get it wrong. Do you know how it should be set up to solve? Any help would be appreciated. Thank you!!

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Question 901726: Not thrifty car rental agency rents a min-van for $89 a day also charges $0.45 for each mile the vehicle is driven.
a) Write an equation to describe the total cost of renting a the mi-van for any combination of days and miles driven.
b) If the total cost was $379.5 and the driven miles was 250, how many days was the min-van rented?
c) If the min-van was rented for five days a d the total cost was $512.5, how many miles was it driven?

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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