Questions on Word Problems: Mixtures answered by real tutors!

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Question 363358: A metallurgist needs to make 12.4 lb of an alloy containing 50% gold. He is going to melt and combine one metal that is 60% gold with another metal that is 40% gold. How much of each should he use?
Click here to see answer by robertb(5830) About Me 

Question 363371: Find the cost per ounce of a sunscreen made from 120 oz of lotion that cost $3.42 per ounce and 80 oz of lotion that cost $11.37 per ounce
Click here to see answer by robertb(5830) About Me 

Question 363312: How much water must be mixed with 5 pints of a solution that is 50% developer to produce a mixture
that is 37% developer?

Click here to see answer by Fombitz(32388) About Me 

Question 363259: Moonshine has 50 liters of 70% alcohol solution. How many liters of pure alcohol must be added to obtain an 80% alcohol solution?
Click here to see answer by Fombitz(32388) About Me 

Question 363446: A recipe calls for 2/3 of a 16-ounce bag of chocolate chips. How many ounces are needed?
Click here to see answer by edjones(8007) About Me 

Question 363470: how much water should be added to 414 ounces of a 21% alcohol solution to get an 18% alcohol solution
i set it up this way---.21(414)+W=.18(414 + W) but i came up with a neg answer
86.94 + W = 74.52 + .18W
12.42 = -.82W or .82W = -12.42 === -.1546
I don't think the answer should be negative.

Click here to see answer by mananth(16946) About Me 

Question 363488: A Chemist has m gm of salt water that is m% salty.How many grams of salt must be add to make a solution that is 2m % salty?
Click here to see answer by Alan3354(69443) About Me 

Question 363589: how much pure acid should be mixed with 5 gallons of a 60% acid solution in order to get a 80% acid solution
Click here to see answer by ewatrrr(24785) About Me 

Question 363838: a mixture of nuts is to contain 3 parts cashews to 6 parts almonds to 7 parts walnuts by weight. How many pounds of almonds will be needed to make 5 pounds of the mixture?
Click here to see answer by checkley77(12844) About Me 

Question 363955: How many liters of whole milk containing 3.5% butterfat must be mixed with 3 liters of skim milk with 0% butterfat to obtain a mixture containing 2% butterfat?
How would I write this in an equation?
My guess is 3 + .035x = .02(3+x)

Click here to see answer by stanbon(75887) About Me 

Question 363962: An amount of 40% acid solution is to be mixed with enough 10% acid solution to make 25% acid solution. If there are to be 20 litres of the final mixture, how much of each solution should be mixed together?

Click here to see answer by Alan3354(69443) About Me 

Question 364023: Solve the following problem algebraically. That is, set up an equation and solve it. Be sure to label clearly what the variable represents.
Two alloys, one 40% iron and the other 60% iron, are to be melted down to form another alloy. How much of each alloy should be melted down and mixed to form 72 tons of an alloy that is 55% iron?

Click here to see answer by nerdybill(7384) About Me 

Question 364311: If an object is projected vertically upward from an altitude of s0 feet with an initial velocity of v0 ft/sec, then its distance above the ground after t seconds is given by the function below. If s(2) = 136 and s(5) = 55, what are v0 and s0? (Round your answer to the nearest whole number.)
Click here to see answer by Alan3354(69443) About Me 

Question 364370: Mia needs to make 10 liters of a solution that is 10% salt. Solution A is 5% salt and Solution B is 25% salt. Which system of equations can Mia use to find the number of liters of each solution she should combine? (Let x be the number of liters of Solution A, and y be the number of liters of Solution B.)

Click here to see answer by robertb(5830) About Me 

Question 364306: A silversmith has two alloys, one containing 60% silver and the other 20% silver. How much of each should be melted and combined to obtain 300 grams of an alloy containing 44% silver?

Click here to see answer by nyc_function(2741) About Me 

Question 364411: Two alloys contain silver and copper in the ratios 3:1 and 5:3 respectively.The alloys are mixed to get a third alloy.The possible ratio of silver to copper in the third alloy is?
Click here to see answer by vasumathi(46) About Me 

Question 364472: How many gallons of antifreeze do I need to keep 450 gallons of water from freezing?
Click here to see answer by Fombitz(32388) About Me 

Question 364554: 900 people attended a dance. The cost of admission was $2.00 per person or $3.50 per couple. Twice as many $2.00 tickets as $3.50 were sold. Find the amount of money obtained from ticket sales?
Click here to see answer by ewatrrr(24785) About Me 
Question 364554: 900 people attended a dance. The cost of admission was $2.00 per person or $3.50 per couple. Twice as many $2.00 tickets as $3.50 were sold. Find the amount of money obtained from ticket sales?
Click here to see answer by edjones(8007) About Me 

Question 364582: Please help-
The jar had 10lbs of water. Half of the water was poured out. If the jar and the water both weigh 5.5lbs, How much does just the jar weigh?

Click here to see answer by ewatrrr(24785) About Me 
Question 364582: Please help-
The jar had 10lbs of water. Half of the water was poured out. If the jar and the water both weigh 5.5lbs, How much does just the jar weigh?

Click here to see answer by nerdybill(7384) About Me 

Question 364433: Two alloys contain silver and copper in the ratios 3:1 and 5:3 respectively.The alloys are mixed to get a third alloy.Which of the following is the possible ratio of silver to copper in the third alloy ?
1.5:2
2.3:2
3.4:1
4.2:3

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

Question 364763: Cashews sell for $1.20 per pound and nuts sell for $8.50 per pound. Lee wishes to purchase 5 pounds of mixed nuts by mixing 3.5 pounds of cashews and 1.5 pounds of nuts. What will be the price per pound of the mixture?
Click here to see answer by Edwin McCravy(20055) About Me 

Question 364880: The number of plant species listed as threatened or endangered has more than tripled in the past 20 years. in 2008, there were 746 species of plants in the United States that were considered threatened or endangered. The number of species considered threatened was 4 less than one-fourth of the number considered endangered. How many U.S. plant species were considered endangered and how many were considered threatened in 2008?
Thankyou

Click here to see answer by tomboybb(1) About Me 

Question 364944: you want to mix a 30% solution with a 80% solution to get 40 ounces of a 40% solution. how much of each solution do you need?
Click here to see answer by Theo(13342) About Me 

Question 365004: pure acid is to be added to a 10% acid solution to obtain 90l of 75% solution? what amounts should each be used?
Click here to see answer by Fombitz(32388) About Me 
Question 365004: pure acid is to be added to a 10% acid solution to obtain 90l of 75% solution? what amounts should each be used?
Click here to see answer by ewatrrr(24785) About Me 
Question 365004: pure acid is to be added to a 10% acid solution to obtain 90l of 75% solution? what amounts should each be used?
Click here to see answer by josmiceli(19441) About Me 

Question 365078: How much water do I add to 1 liter of 40% alcohol vodka to make it 25% alcohol for tincture solution? Thank you
Click here to see answer by Fombitz(32388) About Me 

Question 364885: This metal alloy is composed of 90% tin, 7% antimony, and 3% copper. How many ounces of pure tin must be added to the alloy to make 6 ounces of a metal that is 94% tin?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 365356: How much pure alcohol must be added to 50 gallons of gasohol that is 10% alcohol to make gasohol that is 20% alcohol?
Click here to see answer by mananth(16946) About Me 

Question 365355: hi! can you help me to find the answer?
how many gallons of a 50% alcohol solution must be mixed with 40 gallons of an 18% solution to obtain a solution that is 40% alcohol?

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

Question 365490: A lab contains 24 ounces of iodine solution of strength 15%. how much pure iodine would you mix with it to get an iodine solution of strength 25%?
Click here to see answer by ewatrrr(24785) About Me 

Question 365568: I am trying to figure out a very basic formula for the following: A pound of cashews sells for $6 per pound and a pound of peanuts sells for $3 per pound. If you would like to make a 4 pound mixture of peanuts and cashews at a cost of $4 per pound, how many pounds of cashews must you use?
I saw a similar problem solved but no explanation and I couldn't figure out the variables.

Click here to see answer by nerdybill(7384) About Me 

Question 365800: The difference between two numbers is 23. One third the larger number plus three times the smaller number is 81. What are the numbers?
Click here to see answer by robertb(5830) About Me 

Question 365798: Casey has 15 pounds of cashews that sell for $5.25 per pound. If peanuts sell for $2.50 per pound, how many pounds of peanuts should he add to cashews to obtain a mixturethat will sell for $3.75 per pound?
Click here to see answer by mananth(16946) About Me 

Question 365804: Zoe has a solution that is 75% acid and a solution that is 25% acid. How much of each should she use to obtain 400ml of a solution that is 45% acid?
Click here to see answer by robertb(5830) About Me 

Question 365918: a chemist made 100ml of a 16% acid solution by mixing a 10% acid solution with a 30% acid solution. How much of the 30% acid solution did the chemist use
Click here to see answer by mananth(16946) About Me 

Question 365966: Melanie feeds her cat gourmet cat food that cost $1.75 per pound. She combines it with cheaper food that cost $0.50 per pound. How many pounds of cheaper food should Melanie buy to go with 5 pounds of gourmet food, if she wants the average price to be $1.00 per pound?
Click here to see answer by amoresroy(361) About Me 

Question 366076: What quantity of pure acid must be added to 400 mL of a 25% acid solution to produce a 70% acid solution?

Click here to see answer by nerdybill(7384) About Me 

Question 366057: how many liters of a 10% alcohol solution must be mixed with 90 liters of a 50% solution to get a 20% solution
Click here to see answer by Fombitz(32388) About Me 

Question 366163: how many quarts of pure antifreeze must be added to 6 quarts of a 10% antifreeze solution to obtain a 30%antifreeze solution?
Click here to see answer by Fombitz(32388) About Me 
Question 366163: how many quarts of pure antifreeze must be added to 6 quarts of a 10% antifreeze solution to obtain a 30%antifreeze solution?
Click here to see answer by Earlsdon(6294) About Me 

Question 366358: how many liters of a 90% acid solution must be added to 6 liters of a 15% acid solution to obtain a 40% acid solution
Click here to see answer by nyc_function(2741) About Me 

Question 366493: Soybean meal is 14% protein; cormeal is 7% protein. How many pounds of each should be mixed together in order to get 280-lb mixture that is 11% protein?
How many pounds of the cornmeal should be in the mixture?
How many pounds of the soybean meal should be in the mixture?

Click here to see answer by josmiceli(19441) About Me 

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