Questions on Word Problems: Mixtures answered by real tutors!

Tutors Answer Your Questions about Mixture Word Problems (FREE)

Question 710420: I don't understand how to create an algebraic formula to answer this question:
A solution of 75% vinegar is to be mixed with a solution of 22% vinegar to form 636 liters of a 70% solution. How many liters of the 75% solution must be used?
Click here to see answer by stanbon(75887)

Question 710493: Brand X sells 20lbs bags of mixed nuts that contain 27% peanuts. To make their product they combine Brand A mixed nuts which contain 30% peanuts and brand B mixed nuts which contains 25% peanuts. How much of each do they need to use?
Click here to see answer by josgarithmetic(39617)

Question 710462: Jenny has a bunch of socks. None match. If there are 3570 different combinations she can make, how many socks does she have?
I tried 8x7x6x5x4x3x2 which equals 40320. then I tried 7x6x5x4x3x2 which equals 5040.
Click here to see answer by vheroli(126)

Question 710614: we started with 17 gallons of antifreeze that was 90% water and 10% antifreeze. We added 2 gallons of pure water and one gallon of pure antifreeze. Determine what percentage of the resulting mix is water and what percent is antifreeze.
Click here to see answer by stanbon(75887)

Question 710659:
50 ml of an 11%saline solution was mixed with 30 ml of a 75% saline solution. what is the total amount of concentration of the new mixture?
Click here to see answer by checkley79(3341)

Question 710717: a goldsmith combined an alloy that cost 4.10 per ounce with an alloy that cost 1.80 per ounce. how many ounces of each were used to make of 200 oz costing 3.41 per ounce.
Click here to see answer by stanbon(75887)

Question 711002: A car radiator holds 2 gallons of fluid and initially is empty. If a mixture of water and antifreeze contains 70% antifreeze and another mixture contains 20% antifreeze, how much of each should be combined to fill the radiator with a 50% antifreeze mixture?
Click here to see answer by josmiceli(19441)

Question 711055: Please help me solve the following: a 12 liter antifreeze solution is made up of water and alcohol. How much pure alcohol must be added to raise the concentration from 20% to 50%?
Click here to see answer by lwsshak3(11628)

Question 711076: If the sum of a number and 5 is doubled, the result is 4 less than the number. find the number.I tried this and it didn't work out correctly.
2(x+5)=2x-4
2x+10=2x-4
2x+10-2x=2x-4-2x
now ive got
10=-4
10-4=6
this isn't the correct answer where did I screw up or forget something?
I would appreciate your help
Click here to see answer by lwsshak3(11628)

Question 711078: The sum of the complement and the supplement of an angle is 190. What is the measure of the angle?
Click here to see answer by tutor_paul(519)

Question 711154: In the lab, Maria has two solutions that contain alcohol and is mixing them with each other. Solution A is 6% alcohol and Solution B is 20% alcohol. She uses 600 milliliters of Solution A. How many milliliters of Solution B does she use, if the resulting mixture is a 14% alcohol solution?

Click here to see answer by srinivas.g(540)

Question 711263: 1+1=x
Click here to see answer by jim_thompson5910(35256)

Question 711414: Find the quantity of a 30% solution which must be mixed with a 15% solution to produce 600 kg of 25% solution
Click here to see answer by Alan3354(69443)

Question 711417: A coffee shop decides to make a house blend. She mixes coffee costing 3.00 per pound with coffee costing 5.50 per pound. How many pounds of each coffee does she need to make 40 pounds of the blend costing 4.00 per pound.
Click here to see answer by josmiceli(19441)

Question 711427: I have 10 liters of solution that is 20% salt. How much water needs to be added to reduce the strength to 5% salt?
Click here to see answer by josmiceli(19441)

Question 711594: Twenty ounces of pure silver are added to 70 oz of a silver alloy that is 10% silver. What is the percent concentration of the resulting alloy?
Click here to see answer by josgarithmetic(39617)

Question 711555:
a dairy farmer has two types of milk. How many gallons of a 2% milk fat solution and how many gallons of a 4.5% milk fat solution should be mixed to obtain 500 gallons of a 2.9% milk fat solution

Click here to see answer by checkley79(3341)

Question 711678: How much of a 60% acid solution must be mixed with 50 gallons of a 24% acid solution to obtain a solution that is 50% acid?
Click here to see answer by stanbon(75887)

Question 711716: At New York City's LaGuardia airport, one parking garage charges a ontine "transportation fee" of $2.75 plus $22 for indoor parking per day. How many days has a car been parked at this location if the parking charge is $134.75?
Click here to see answer by stanbon(75887)

Question 711788: The radiator in a car is filled with a solution of 60% antifreeze and 40% water. The manufacturer of the antifreeze suggests that for summer driving, optimal cooling of the engine is obtained with only 50% antifreeze. If the capacity of the radiator is 3.6 L, how much coolant should be drained and replaced with water to reduce the antifreeze concentration to the recommended level?

Click here to see answer by lwsshak3(11628)

Question 712055: how much distilled water must be added to 4 pints of 65% alcohol to make a mixture of 50% alcohol
Click here to see answer by josgarithmetic(39617)

Question 712102:
How many liters of 40% glycerin solution must be mixed with 10 liters of 80% glycerin to obtain 65% glycerin solution?
Click here to see answer by checkley79(3341)

Question 712204: A pharmacist has a 40% acid solution and 25% acid solution. How many liters of each must be mixed to form 85 liters of a 31% acid solution?
Click here to see answer by stanbon(75887)

Question 712189: A chocolate bar is worth a quarter (25 cents) and a piece of gum costs a dime (10 cents). If Ariel bought 40 pieces of candy for $7, how many chocolate bars did he buy? [PS: only one variable]
Click here to see answer by josgarithmetic(39617)

Question 712266: a scientist needs 30 liters of a 60% solution. He has a 40% solution and a 70% solution. How many of each does he need to get 30 liters of a 60% solution?
Click here to see answer by josgarithmetic(39617)

Question 712273: how much water must be evaporated from 28 ounces of 6% salt solution to make a 7% salt solution
Click here to see answer by josgarithmetic(39617)

Question 712355: Candy, a confectioner, has a 9 pound bag of mixed candy that contains 20% chocolate. How many pounds should she remove from the bag so that when she adds just chocolate to the bag, she'll have a mixture that contains 50% chocolate?
I've determined the variable as x which equals pounds removed but not sure where to go from here?
Click here to see answer by josgarithmetic(39617)

Question 712337: How many ounces of pure bran flakes must be added to 70 ounces of cereal that is 42% bran flakes to produce a mixture that is 59.4% bran flakes?
Click here to see answer by josgarithmetic(39617)

Question 712385: A 400 grams solution made up 40% sugar must be added to a 200 grams solution. what should be the percentage of sugar in 200 grams of solution in order to produce a 38% sugar solution?
Click here to see answer by josmiceli(19441)

Question 712536: How many liters of pure water should be mixed with a 16-L solution of 90% acid to produce a mixture that is 90% water?
Click here to see answer by stanbon(75887)

Question 712569: A health clinic uses a solution of bleach to sterilize petri dishes in which cultures are grown. The sterilization tank contains 90 gal of a solution of 4% ordinary household bleach mixed with pure distilled water. New research indicates that the concentration of bleach should be 8% for complete sterilization. How much of the solution should be drained and replaced with bleach to increase the bleach content to the recommended level?
Click here to see answer by stanbon(75887)

Question 712524: 40 oz of a 35% gold alloy are mixed with 64 oz of a 20% alloy. Find the concentration of the resulting gold alloy.
Click here to see answer by Alan3354(69443)

Question 712509: What quantity of a 60% acid solution must be mixed with a 35% solution to produce 600 mL of a 45% solution?

Click here to see answer by josgarithmetic(39617)

Question 712775: A procedure calls for 200mL of a 2% glucose solution. A 50% solution is available. How much of the 50% solution is needed to make 200mL of the 2% solution.
I've figured that I would need 4mL of gulcose solution for the total 200mL. I set my problem up like this: .50x + 1(200-x)= 200 (.98). By setting it up like that, I got 8mL of 50% solution, but wouldn't I need much less 50% than I would 2%?
Click here to see answer by josmiceli(19441)

Question 712816: Please help me solve this
A barrel contains 112 gallons of water and is being drained at a constant rate of 5 gallons per hour.
Write an equation that models the number of gallons, g, after t hours.
The equation that models the given situation is_________
Thank you

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

Question 712824: At a local "Paint Swap", Carl found large supplies of "Valentine Pink" (12.5% red pigment) and "Macintosh Red" (20.0% Red pigment). How many gallons of each color should Carl buy in order to mix 10 gallons of "Summer Rose" (17% Red pigment)? This paint will be used to paint the new "Girl's Club" buliding.
Click here to see answer by josgarithmetic(39617)

Question 712924: elaine added 3 lbs. of peanuts to a 15 lb. mixture containing peanuts and raisins. if the original mixture was 25% peanuts, what is the percent if peanuts in the new mixture?
Click here to see answer by josgarithmetic(39617)

Question 712971: if a pharmacist has 20L of a 10% drug solution. How many liters of 5$ solution must be added to get a mixture that is 8%? I need help setting up the problem. I can get the answer im just not sure how to set this up correctly.
Click here to see answer by stanbon(75887)

Question 713002: If 15% of the 250 million adult Americans live in poverty, how many adult Americans live in poverty?
Click here to see answer by lenny460(1073)

Question 713055: How much water has to be evaporated from a container with some amount of 1% acid solution in order to end up with 10 liters of a 2% solution?
Click here to see answer by josgarithmetic(39617)

Question 713067: A chemist has two alloys, one of which is 5% gold and 10% lead and the other which is 30% gold and 40% lead. How many grams of each of the two alloys should be used to make an alloy that contains 39 g of gold and 68 g of lead?
Click here to see answer by josgarithmetic(39617)

Question 713070: Thirteen more than five times a number is equal to the difference of 101 and three times the number.Find the number.
Click here to see answer by josgarithmetic(39617)

Question 713127: a laboratory needs to make 135 litter batch of a 20% acid solution. How can the laboratory combine a batch of acid solution the is pure acid with another that is 10%to get the desired concentration
Click here to see answer by josmiceli(19441)

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