Questions on Word Problems: Mixtures answered by real tutors!

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Question 692406: An automobile cooling system contains 36 liters
of coolant that is 14% antifreeze. How many liters of the mixture must be
removed so that, when it is replaced with pure antifreeze, a mixture of
37% antifreeze will result?
Click here to see answer by ankor@dixie-net.com(22740)

Question 692246: a vat contains a mixture of acid and water. if 25 gallons of acid are added the mixture will be 80 per cent acid, if 25 gallons of water are added the mixture will be 60 per cent acid. find the percent of acid in the mixture
Click here to see answer by ptaylor(2198)

Question 692697: A certain amount of solution contains 18% alcohol. 8 litres of the solution is taken out and replaced with water. The resultant solution contains 15% alcohol. Find the volume(in litres) of the solution

Click here to see answer by ankor@dixie-net.com(22740)

Question 692924: I wish to fortify my 16% wine by adding 90% Everclear alcohol. I want 2 liters of 40% finished product. how much of each should i use

Click here to see answer by Alan3354(69443)

Question 692994: A nut shop sells almonds for $7.75 per pound and peanuts for $3.25 per pound. in order to sell an overstock of peanuts, the shop owner decides to mix the peanuts and almonds. How many pounds of each kind of nut are in a 4 pound mixture that costs $19?
>>>I do not know how to set up the equation my professor doesn't explain problems well. Also, I want to know what are each of the steps involved in this equation I tried finding a similar problem in the book but was unsuccessful.
Click here to see answer by josmiceli(19441)

Question 693148: X/4-x/9=5
Click here to see answer by jim_thompson5910(35256)

Question 692975: Please help me solve this:
x liters of a 5% salt solution are added to 10 liters of a 2% salt solution., Find th eend concentration as a function of x How much solution do you end up with? How much salt does it contain?
Click here to see answer by ankor@dixie-net.com(22740)

Question 693143: mark has twice as many quarters as nickles and 3 more dimes than nickles, he has $4.20 in all, how many of each does he have. we need formula to figure this out, my daughter is having horrible time with this, and it has been to long for me to remember.
Click here to see answer by josmiceli(19441)

Question 693455: How many ounces of a 10 percent solution and a 30 percent solution
mix to make 20 ounces of a 25 percent solution
Click here to see answer by stanbon(75887)

Question 693621: How many liters of each of 20% acid solution and 45% acid solution must be used to produce 50 liters of a 40% acid solution?
Click here to see answer by josmiceli(19441)

Question 693828: how many liters of water must be added to 10 liters of a 95% acid solution to make an 80% acid solution?
Click here to see answer by ptaylor(2198)

Question 693921: How many liters of each of a 15% acid solution and a 75% acid solution must be used to to produce 90 liters of a 25% acid solution? ( round to two decimal places if necessary.)
Click here to see answer by stanbon(75887)

Question 693954: Can you explain me the process?
An alcohol solution was made by mixing 6 ml of a 90% alcohol solution and 4 ml of a 80% alcohol solution. What is the concentration of the mixture?
Click here to see answer by Alan3354(69443)

Question 693979: process please:

How many ml of a 30% acid solution must be mixed with 2 ml of a 40% acid solution to make a 32% solution?
Click here to see answer by checkley79(3341)

Question 694222: A 10% alcohol solution must be mixed with a 80% alcohol solution to get 35 ml of a 50% solution. How many liters of 10% solution should be mixed?
Click here to see answer by mananth(16946)

Question 694217: Peppermint Tea = 8.20/lb
Licorice Tea = 6.40/lb
How many pounds of each will result in 30 pounds of tea at 7.60/lb?
let lbs = x

Click here to see answer by mananth(16946)

Question 694278: if you had 90 cups of water in a container what fraction would be 60 cups?
Click here to see answer by ReadingBoosters(3246)

Question 694318: how many grams of water must be evaporated from 10 grams of 40 % saline to produce a 50 % solution

Click here to see answer by josmiceli(19441)

Question 694333: Jane works due north of home.her husband ben works due east.they leave for work at the same time.by the time jane is 5 miles from home,the distance between them is one mile more than ben's distance. how far is ben from home?
Click here to see answer by ankor@dixie-net.com(22740)

Question 694599: Brass is an alloy the contains the metals copper and zinc. Copper typically accounts for 3/5 of the mass of a piece of brass.
a) what is the mass of copper in 175g of brass?
b)what mass of brass contains 90 g of copper?
c) what mass of brass contains 50g of zinc?
Click here to see answer by mananth(16946)

Question 694592: The radiator of a car is filled with 3.8L of a solution of 45% antifreeze. How much of the solution should be drained and replaced with antifreeze to increase the concentration of antifreeze to 60%? Round to the nearest tenth of liter.
I tried the problem and got it wrong. I did:
3.8L/1=45%/60% = 2.9L
Click here to see answer by ankor@dixie-net.com(22740)

Question 694580: How many liters each of 8%, 10%, and 20% hydrogen peroxide should be mixed together to get 8 liters of 12.5% solution, if the amount of 8% solution used must be 2 liters more than the amount of 20% solution used?
Click here to see answer by josmiceli(19441)

Question 694735: Solution A is 18% alcohol and Solution B is 13% alcohol. How many milliliters of Solution A does he use, if the resulting mixture has 595 milliliters of pure alcohol?
Click here to see answer by Alan3354(69443)

Question 695408: 12 liters of 8% acid solution with a 20% acid solution, which results in a 16% acid solution. find number of liters of 20% acid solution in the new mixture.
Click here to see answer by stanbon(75887)

Question 695427: Question:
A mixture of 20% acid and 50% acid must be mixed together to obtain 100mL of 44% acid solution. How much of each acid will be required?
Answer:
Let x represent amount (in mL) of 20% acid required
Let y represent amount (in mL) of 50% acid required
100 = x + y
44 = 0.2x + 0.5y
I got the right answer
x = 20
y = 80
I just don't understand why 44 isn't changed into 0.44 and the other numbers are. Would you mind explaining?
Click here to see answer by MathTherapy(10552)

Question 695706: a grocer mixed nuts worth $.80 per pound with nuts worth $.50 per pound. How many pounds of each did he use to make a mixture of 30 pounds to sell at $.75 per pound?
Click here to see answer by mananth(16946)

Question 696004: Jessica made anut mixture that contains 72% peanuts by mixing 14kg of mixed nuts with 11 kg of peanuts. The mixed nuts contained what percent peanuts?
---
I somewhat understand the problem, but I don't know how to set up a plausible equation.
Please help!
Click here to see answer by solver91311(24713)

Question 696075: How much of a 25% acid solution should be mixed with 5L of a 15% acid solution to obtain a 20% acid solution?
Click here to see answer by Alan3354(69443)

Question 696081: The price P (in dollars) that a radio manufacturer is able to charge for a radio is given by P =40-4x^2 where x is the number (in millions) produced. It costs the company $15 to make a radio.
a.) Write an expression for the company's total revenue in terms of x (Could you explain the process for finding this expression?)
b.) Write a function for the company's profit P by subtracting the total cost to make x radios from the expressions in Part A(the one just found)
c.) Currently, the company produces 1.5 million raidos and makes a profit of $24,000,000. Write and solve an equation to find a lesser number of radios that the company could sell and still make a profit.
d.) Do all the solutions in part c make sense in this situation? Explain.
----
Sorry for the long word problem, but I would appreciate it if someone responds
Thank You
Click here to see answer by ankor@dixie-net.com(22740)

Question 696115: A 5% salt solution is mixed with a 10% salt solution. How many milliliters of each solution are needed to obtain 400 milliliters of an 8% solution.
s= number of milliliters of 5% salt solution
t= number of milliliters of 10% s alt solution
I wrote an equation of
(s+t=400
(.05s+.1t=40
i tried solving but got stuck. am i on the right track?
Click here to see answer by MathTherapy(10552)

Question 696133: Ten gallons of 30% acid solution is obtained by mixing a 20% solution with a 50% solutions.How much of each solution must be used?
Click here to see answer by josmiceli(19441)

Question 696295: Two saline solutions are mixed. Twelve liters of 5% solution are mixed with 4 liters of 4% solution. What percent sline is the final solution?
Click here to see answer by stanbon(75887)

Question 696471: A pharmacist wishes to mix a solution that is 4% minoxidil. She has on hand 70mL of a 1% solution, and she wishes to add some 6% solution to it to obtain the desired 4% solution. How much 6% solution should she add?
Click here to see answer by stanbon(75887)

Question 696425: A chemist mixes one solution that is 10% alcohol with a solution that is 15% alcohol to make 100 milliliters of a solution that is 12% alcohol. How many milliliters of liquid was in the first solution?
Click here to see answer by josmiceli(19441)

Question 695784: Mrs. Thomas walked 160 feet on a moving walkway in 40 seconds. Against the walkway she was able to walk the same distance in 80 seconds. What is the rate of the escalator? (How fast)
What is Mrs. Thomas' normal rate? (How fast)
Click here to see answer by ankor@dixie-net.com(22740)

Question 696535: Yard bird Gardening carries two kinds of fertilizer containing nitrogen and water. �Gently Green� is 5% nitrogen and �Sun Saver� is 15% nitrogen. Yard bird Gardening needs to combine the two types of solution to make 90 L of a solution that is 12% nitrogen. How much of each brand should be used?
Click here to see answer by stanbon(75887)

Question 696588: a solution is divided into two smaller solutions P and Q .What volume of 1Molar P and 0.1 Molar Q is required to prepare 2 litres of 0.1 molar solution ?
Click here to see answer by checkley79(3341)

Question 696369:
M&M's sell for $6 a pound. Skittles are $3 a pound. How many pounds of M&M's should be mixed with 12 pounds of skittles to get a mixture selling for $4.20 a pound?
Click here to see answer by checkley79(3341)

Question 696640: A pharmacist wishes to mix a solution that is 8% Minoxidil. She has on hand 90 ml of a 6% solution and wishes to add some 10% solution to obtain the desired 8% solution. How much 10% solution should she add?
Click here to see answer by Alan3354(69443)

Question 696763: Milan needs 8 oz of a 20% alcohol solution for a chemistry lab. Unfortunately, his teacher only has a 1% alcohol solution and a 50% alcohol solution.
How many ounces of the 50% alcohol solution should be mixed with the 1% alcohol solution to make 8 oz of the 20% alcohol solution Milan needs? Round to the nearest tenth of an ounce.
Click here to see answer by MathLover1(20849)

Question 696697:

A chemist wants to obtain 80 liters of a solution is 12% hydrochloric acid. How many liters of 10% hydrochloric acid solution and 20% hydrochloric acid solution should he mix to do so

Click here to see answer by checkley79(3341)

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