Questions on Word Problems: Mixtures answered by real tutors!

Tutors Answer Your Questions about Mixture Word Problems (FREE)

Question 998304: A goldsmith needs 120 grams of gold alloy, of 75% pure gold. Only two alloys of gold are available, the first being 80% pure gold and the other 60% pure gold. How many grams of 80% pure gold must he use to suit his requirements?

Click here to see answer by addingup(3677)

Question 998363: Suppose that one solution contains 40% alcohol and another solution contains 80% alcohol. How many liters of each solution should be mixed to make 8.5 liters of a 70% alcohol solution?
Click here to see answer by ikleyn(52786)

Question 998320: How many pounds of lima beans that cost $0.90/pound must be mixed with 16 pounds of corn that costs $0.50/pound to make a mixture of vegetables that cost $0.65/pound?
Click here to see answer by fractalier(6550)

Question 998463: If I wanted to make a menthol splash on tonic; using 50% isopropyl alcohol, pu rified water, menthol, and sodium chloride (bakers salt) to obtain a proper pH balance in 100ml batches. My question is how much water is needed to make a 1% solution.
Click here to see answer by josgarithmetic(39617)

Question 998476: A chef is using a mixture of two brands of Italian dressing. The first brand contains 5% vinegar and the second brand contains 10% vinegar. The chef wants to make 200mL of a dressing that is 8% vinegar. How much of each brand should the chef use?
Click here to see answer by josgarithmetic(39617)

Question 998783: Write a system of two equations in two variables to solve the problem.
How much of a 40% antifreeze solution must a mechanic mix with a 70% antifreeze solution if she needs 25 gallons of a 50% antifreeze solution?
Click here to see answer by mananth(16946)

Question 998764: If you pay 93.60 for 36 gallons how much will you pay for 26 gallons
Click here to see answer by ikleyn(52786)

Question 999178: If grapes cost .93 per pound and I buy .74 pounds, how much will I pay for the grapes?
Click here to see answer by Alan3354(69443)

Question 999230: You van 20 fl oz of a gas/oil mixture that is 2.5% oil. How much gas should you add to lower it to a 2% mix?
Click here to see answer by josgarithmetic(39617)

Question 999278: If a 5 ounce salad from the salad bar costs $1.55, how much will an 8.5 ounce salad cost?
Click here to see answer by Cromlix(4381)

Question 999157: A hiker climbs a 5 mile trail up a mountain in 2 hours. On the return trip downhill, she walks the same trail and returns to her starting point in 1 hour. What was her average rate of speed,in miles per hour,for the entire Trip?

Click here to see answer by Cromlix(4381)

Question 999515: How many liters of a 50% acid solution must be mixed with a 30% acid solution to get 180L of a 40% acid solution?
Click here to see answer by mananth(16946)

Question 999540: May buys combination of stamps of 45 cent and 65 cent she spends 24.50 on 50 how many of each did she buy
Click here to see answer by ikleyn(52786)

Question 999540: May buys combination of stamps of 45 cent and 65 cent she spends 24.50 on 50 how many of each did she buy
Click here to see answer by MathTherapy(10552)

Question 999695: 8. You have 5 gallon of a solution that is 5% oil (the rest is gasoline). You need to add how much pure gasoline to lower the solution to 4% oil?
9. You have two solutions one contains 40% acid, the other 10% acid. You require 10 gallons of a 20% solution. How much of the 10% should you use?

Click here to see answer by josgarithmetic(39617)

Question 999804: How many liters of water must you add to 210 liter, 40% alcohol solution, into 33% alcohol solution?
Click here to see answer by josgarithmetic(39617)

Question 999820: write 2 equations and solve:
A contractor mixes concrete from bags of pre-mix for small jobs. How many bags with 8% cement should he mix with 7 bags of 16% cement to produce a mix containing 12% cement?
Click here to see answer by josgarithmetic(39617)

Question 999840: Whole milk is 4% butterfat, How much skim milk with 0% butterfat should be added to 32 ounces of whole milk to obtain a mixture that is 2.5% butterfat.

Click here to see answer by josgarithmetic(39617)

Question 999859: You want to make 45 ml. Of a 35% alcohol solution. You call the pharmacy and they tell you that all they have is 60% alcohol. How much of the 60% alcohol solution should you ask for and how much water should you add?
Click here to see answer by ptaylor(2198)

Question 1000040: In Lesson 1.6, you looked at Jenna�s cost to drive her own car for work. The cost per mile, J, in $/mile, of driving Jennas car, when the cost of gas is g, in $/gallon, is given by the following formula:
J=g/22+0.146
Find the cost per mile of driving Jenna�s car (J) when the price of gas is $3.68/gallon. Round to the nearest cent.
Click here to see answer by josgarithmetic(39617)

Question 1000042: The number of digits is the same as the number in the ones place. The sum of the digits is 10. All the digits are different. The digits are in increasing order. What is the number?
Click here to see answer by ankor@dixie-net.com(22740)

Question 1000101: 12oz of black coffee, the creamer he adds is 10% fat, and his goal is to have a coffee and creamer mixture that is 2% fat. define x write your equation.
Click here to see answer by josgarithmetic(39617)

Question 1000184: if a auto technician has 20 ounces of battery acid that is 55% acid how many ounces of water must the technician add to make a solution that is 25% acid?
Click here to see answer by josgarithmetic(39617)

Question 1000646: To make a certain drink, you need to mix 200ml of concentrated drink with 1l of water. How much concentrated drink will you need if you have to make up 14l of this drink?
My attempt is: 200ml of concentrated drink X 14l = 2800ml
Click here to see answer by Theo(13342)

Question 1000641: Car travels 68km 45 minutes what should be the average speed of the car if it has to cover the same distance 40 times.
Click here to see answer by Alan3354(69443)

Question 1000706: fresh grapes contain 80% of water while dry grapes contain 10% of water. If the weight of dry grapes is 500 then what is its total weight when it is fresh.
Click here to see answer by addingup(3677)

Question 1000647: Hamid bought 4.5 pounds of strawberries. The total cost of the strawberries was $8.10. How much did each pound of strawberries cost?

Click here to see answer by fractalier(6550)

Question 1000618: Three Times A Number P Added To Twice A Number Q.
Click here to see answer by fractalier(6550)

Question 1000744: Identify the system of equations used to solve the following problem. A laboratory employee is mixing a 10% saline solution with 4% saline solution. How much of each solution is needed to make 500 milliliters of a 6% solution?
Click here to see answer by fractalier(6550)

Question 1000868: there are 2 liters of 3% milk and some 1% low fat milk, and if there 5 liters of mixture, how many liters of low fat milk were there, and how much butterfat is present in the mixture?
Click here to see answer by josgarithmetic(39617)

Question 1000909: How many gallons of a 30% hydrochloric acid solution and 80% hydrochloric acid solution must be mixed to get 20 gallons of a 50% hydrochloric acid solution.
so far i have tried these two equations and than substituted:

30x+80y=50
x+y=20

and
.3x+.8y=.5
x+y=20
every time the answer end being (x=31,y=-11) as far as i see you cannot have a negative amount of the 80% solution. help...
Click here to see answer by Edwin McCravy(20056)

Question 1000897: Please help me solve this:
Two prisoners have the task of digging a grave in the cemetery. If working alone, Mr. Samuela can finish the job in 12 hours, whereas Mr. Jones can complete the same task in 15 hours. What time of the day would the job be completed if Mr. Samuela starts working on the job at 7.30am and later joined by Mr. Jones at 10.30am.
Click here to see answer by Edwin McCravy(20056)

Question 1001021: If you use 30% red paint and 70% blue paint, and you use 12 gallons of blue paint, how many gallons of red paint will you use?

Click here to see answer by josgarithmetic(39617)

Question 1001192: I want to produce 200 pounds of mixed nuts which I can sell for $4.45 per pound. The mix uses peanuts at $2.19 per pound and almonds at $6.47 per pound. How many pounds of both peanuts and almonds are needed to create the perfect mix?
Click here to see answer by AnimalLover(6)

Question 1001161: Jessica has two bags of nuts; one with 76
% peanuts and the other with 12% peanuts. To make and 11lb bag of 47% peanuts, how much of each should Jessica use.

Click here to see answer by fractalier(6550)

Question 1001409: A shopkeeper is preparing a mixture of peanuts and raisins. If peanuts cost 60 cents per pound and raisins cost 85 cents per pound, how many pounds of each should be used to prepare 50 pounds of a mixture selling at 70 cents per pound
Click here to see answer by josgarithmetic(39617)

Question 1001526: What is the ratio must coffee is combined with water to obtain 20% by marketing the combination at pricing?
Click here to see answer by fractalier(6550)

Question 1001538: How many liters of a 20 percent solution of acid should be mixed with 50 percent solution of acid to obtain a 9 liters of 30 percent solution?
Need a equation to be able to solve
I need to solve this in 3 ways:
1) substitution
2) linear combination
3) graphing
Click here to see answer by josgarithmetic(39617)

Question 1001582: Pollution is expensive to clean up. The cost to clean up p% of pollution is modeled by:
C=12000/400-4p How much does it cost to remove 80% of pollution
Click here to see answer by fractalier(6550)

Question 1001652: How many liters each of a
25% acid solution and a
75% acid solution must be used to produce
80 liters of a
60% acid solution?
Click here to see answer by josgarithmetic(39617)

Question 1001682: 1. Pollution is expensive to clean up. The cost to clean up p% of pollution is modeled by:
C=12000/(400-4p ) Where C is the cost of clean up in millions of dollars and p is the percentage of pollution.
A. How much will it cost to remove 80% of the pollution? My answer, 150 million
B. How much will it cost to remove 95% of pollution? My answer ,600 million
C. How much does it cost to remove 99% of pollution? My answer, 3,000 million or 3 billion
D.For what value(s) is this equation undefined?
Click here to see answer by Theo(13342)

Question 1001807: SOLUTION: How many mL of 70% alcohol should be mixed with 20 mL of 20% alcohol to prepare 50% alcohol?

Click here to see answer by Alan3354(69443)

Question 1001820: Alice works in a nut shop. She is suppose to add some Spanish peanuts worth 84cents a pound to 40 lbs of Virginia Peanuts worth 71 cents a pound to make a mixture worth 79 cents a pound. How many pounds of Spanish peanuts should he add?
* plz, it would be great if you used a table chart or explained step by step. Thanks!
Click here to see answer by josgarithmetic(39617)

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