Questions on Word Problems: Mixtures answered by real tutors!

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Question 304982: How much silver valued at $4 per gram must be mixed with gold valued at $24 per gram to obtain 30 grams of alloy worth $12.00 per gram?
Sat prep. Question.
Ans. 18grams

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Question 304985: How many quarts of grape juice worth $1.20 a quart should be mixed with 3 quarts of apple juice worth 90cents a quart to produce a punch worth $1.00 a quart?
Sat prep. Question.
Ans. 1 1/2 quarts

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Question 304983: One type of candy cost 60cents a pound while a second costs 80cents a pound. How many pounds of each type must be combined in order to produce 20 pounds of a mixture worth 75cents a pound?
Sat prep. Question.
Ans. 24 nickels

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Question 305049: Frank can cut his lawn in 4 1/2 hours, his wife can cut the same lawn in 4 hours, while their son tom can cut the lawn in 3 1/2 hours. how long would it tak to cut the lawn if all three worked together?
Sat prep. Question.
Ans. 252/191 hours

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Question 305057: tom is three times as old as lee. in 7 years, the sum of half of tom's present age and 1/3 of lee's age will be the same as tom age now. how old will tom be in 7 years?

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Question 305607: One quarter of the students at a high school take algebra. one fifth of the students take geometry. the remaining 110 students do not take any math. how many students are there in the school?
Click here to see answer by solver91311(24713) About Me 

Question 305581: how many mL are in 9.6L
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Question 305749: a nut store normally sells cashews for $9.00 per pound and almonds for $3.50 per pound. but at the end of the month the almonds had not sold well, so in order to sell 60 pounds of almonds the manager decided to mix the 60 pounds of of almonds with some cashews and sell the mixture for $7.50per pound. How many pounds of chashews should be mixed with the almonds to ensure no change in the profit?
Click here to see answer by mananth(16946) About Me 

Question 306030: Three acid solutions: 10%, 20%, 40%. How many ml of each to make 100ml of 18% solution if have to use four times as much of the 10% solution as the 40% solution.
x + y + z = 100; .1x + .2y + .4z = 100 x .18 = 18
Need to use matrix and graphing calculator, but only have two equations and three unknowns. Help!

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Question 306138: How many mg of a metal containing 45% nickel must be combined with 6mg of pure nickel to form an alloy containing 78% nickel?
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Question 306138: How many mg of a metal containing 45% nickel must be combined with 6mg of pure nickel to form an alloy containing 78% nickel?
Click here to see answer by nospmoht(3) About Me 

Question 306378:
The distance between two cities on a map is 10 inches. If the actual distance is 350 miles, how many miles are represented on the map by two inches?

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Question 306553: In a chemistry class, 9 liters of a 4% silver iodide solution must be mixed with a 10% solution to get
a 6% solution. How many liters of the 10% solution are needed?

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Question 306552: It is necessary to have a 40% antifreeze solution in the radiator of a certain car. The radiator now
has 50 liters of 20% solution. How many liters of this should be drained and replaced with 100%
antifreeze to get the desired strength?

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Question 306672: A tobacco dealer mixed 12 lbs of one grade of tobacco with 10 lbs of another grade to obtain a blend worth $54. He then made a second blend worth $61 by mixing 8 lbs of the first grade and 15 lbs of the second grade. Find the price per lb in each grade.
choices:
a:) $2 and $3
a:) $2 and $4
a:) $1 and $2
a:) $1 and $3

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

Question 306999: Solution X is 40% acid and solution Y is 85% acid. How much of each is needed to make a 90 Liters of a solution that is 70% acid?
Click here to see answer by richwmiller(17219) About Me 
Question 306999: Solution X is 40% acid and solution Y is 85% acid. How much of each is needed to make a 90 Liters of a solution that is 70% acid?
Click here to see answer by mananth(16946) About Me 

Question 307134: To create a breakfast beverage, pineapple juice in two concentrations, 16% and 30%, must be combined into a solution that will be mixed with another type of juice to produce the beverage. If 50 gallons of 16% juice is used, how many gallons of the 30% juice must be used to obtain a 20% pineapple juice solution?
Click here to see answer by mananth(16946) About Me 

Question 307392: An alloy of copper is 10% copper and weighs 25 pounds. A second alloy is 18% copper. How much (to the nearest tenth lb.) of the second alloy must be added to the first alloy to get a 13% mixture.
Click here to see answer by checkley77(12844) About Me 

Question 307395: How many bags with 0.08 cement should mix with 2 bags of 0.63 cement to produce a mix containing 0.19 cement?
Click here to see answer by rapaljer(4671) About Me 

Question 307548: Soybean meal is 14% protein; cornmeal is 7% protein. How many pounds of each should be mixed together in order to get a 280 pound mixture that is 10% protein
Click here to see answer by Earlsdon(6294) About Me 

Question 307829: Bea Kurr is hired by the local chemical plant to create mixtures for use in various labs at the chemical plant. On Bea's first day on the job she finds 20 liters of 12% boric acid and only 32 liters of 20% boric acid. Bea's new boss wants exactly 30 liters of an 18% solution. How many liters of 12% solution should she use to get exactly 30 liters of 18% solutions?
A 5.5
B 7.5
C 10
D 15
E 22.5
PLS HELP ME IM SO CLUELESS, this is a very hard problem for me

Click here to see answer by scott8148(6628) About Me 

Question 307995: In a mixture of peanuts and cashews, the ratio by weight of peanuts to cashews is 5 to 2. How many pounds of cashews will there be in 4 pounds of this mixture?
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Question 308654: If a container contains a mixture of 5 gallons of white paint and 11 gallons of brown paint, how much white paint must be added to the container so that the new mixture will be two-thirds white paint?
choices:
a:) 16gal
b:) 17gal
c:) 18gal
d:) 19gal

Click here to see answer by rapaljer(4671) About Me 
Question 308654: If a container contains a mixture of 5 gallons of white paint and 11 gallons of brown paint, how much white paint must be added to the container so that the new mixture will be two-thirds white paint?
choices:
a:) 16gal
b:) 17gal
c:) 18gal
d:) 19gal

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

Question 308591: how much water must be added to 14 liters of a 90% acid solution to abtain a 40% acid solution?
Click here to see answer by stanbon(75887) About Me 

Question 308590: a chemist has 6 liters of a 50% acid solution. how much water must be added to obtain a 20% acid solution?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 308871: A chemist has a 500ml solution that is 50 percent water. He wants the solution to become 90 percent water. How many ml of water should he add to the solution?
Click here to see answer by richwmiller(17219) About Me 

Question 309203: Will you please assist me on these two algebraic solution:
-9x + 5/7= 7/9.
2/5 (10x-3) -x=9/5.
1. This is how I start the first one: -9x + 5/7= 7/9
-9x +5/7-5/7 = 7/9-5/7= 4/63 reduce it to 36/63 and still wrong.
2. 2/5 (10x-3)-x=9/5
2/5 (7x)-x=9/5
2/5x 7x-x=9/5
2/5 x 6x=9/5
2/5 x 6/1=12/5 =9/5
lose at this point.

Click here to see answer by solver91311(24713) About Me 

Question 309198: How many pounds of hamburger worth $1.05 per pound must be mixed with 60 pounds of hamburger worth $0.90 per pound to produce hamburger worth $1.00 per pound?
Click here to see answer by nyc_function(2741) About Me 

Question 309292: Automotive maintenace. "Arctic antifreeze" is 18% alcohol and "Frost-No more" is 1% alcohol. how many liters of arctic antifreeze should be mixed with 7.5L of Frost -no more in order to get a mixture that is 15% alcohol?
Click here to see answer by nyc_function(2741) About Me 

Question 309483: what amount of each mixture, one 95% alcohol and the other 15% alcohol, must be used to make 10 liters of a mixture which is 45% alcohol?
what equation or equations will express this problem?

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Question 309606: The base of a triangle is one-third as long as its height. If the area of the triangle is 24 square meters, how long is its base?
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Question 309605: A rectangle is 5 times as long as it is wide. If the are is 125 square feet, find its perimeter?
Click here to see answer by checkley77(12844) About Me 

Question 309845: In what ratio must tomato at $1.50 per kg be mixed with tomato at $2 per kg so that the mixture be worth $1 per kg?thank u for ur help.
Click here to see answer by checkley77(12844) About Me 

Question 309994: how many gallons of a 10% alcohol solution be mixed with 20 gallons of a 10% acid solution to obtain an 8% acid solution? The answer is 40/3. How do you solve the problem?
Click here to see answer by stanbon(75887) About Me 
Question 309994: how many gallons of a 10% alcohol solution be mixed with 20 gallons of a 10% acid solution to obtain an 8% acid solution? The answer is 40/3. How do you solve the problem?
Click here to see answer by richwmiller(17219) About Me 

Question 309925: on three consecutive passes, a football team gains 5 yards, loses 30 yards, and gains 10 yards. what number represents the total net yardage?
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Question 308870: how many quarts of a solution with 18% iodine must be added to 40 quarts of water to have a resulting solution with 10% iodine? Can somebody please explain me in details without any Shortcuts:/
Click here to see answer by stanbon(75887) About Me 

Question 309923: The equation y=-1777x+27153 can be used to predict the number y of gun deaths in the united states x years after 2000, that is, x=0 corresponds to 2000, x=2 corresponds to 2002, x=5 corresponds to 2005, and so on. Predict the number of gun deaths in 2005 and 2008. In what year will the number of gun deaths be 11,160?
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Question 306669: In a chemical laboratory one carboy contains 12 gallons of acids and 18 gallons of water. Another carboy contains 9 gallons of acid and 3 gallons of water. How many gallons must be drawn from each carboy and combined to form a solution that is 7 gallons acid and 7 gallons water?
Choices:
a.) 10 gals from first carboy and 4 gals from second carboy
b.) 9 gals from first carboy and 5 gals from second carboy
c.) 8 gals from first carboy and 6 gals from second carboy
d.) 11 gals from first carboy and 3 gals from second carboy

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Question 310181: University Theater sold 494 tickets for a play. Tickets cost $25 per adult and $10 per senior citizen. If total reciepts were $7100, how many senior citizen tickets were sold?
Click here to see answer by rfer(16322) About Me 

Question 310309: translate the problem into a pair of linear equations in two variables. solve the equations using either elimination or substitution.
In a chemistry class, 5 liters of a 4%-saline solution must be mixed with a 10% solution to get a 6% solution. How many liters of the 10% solution are needed?

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Question 310276: A chemist has 30 cc of a 12% solution of acid. He wishes to add enough water
to make a 4% solution of acid. How many cubic centimeters of water must be
added to the acid solution?

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Question 310567: Hi, I am stuck on this one. Nothing I have tried makes sense. Help would be very appreciated.
How many ml of medication A which has a 20% concentration, and medication B which has a 65% concentration should be mixed to form a 550 ml solution that is 30.9%

This is what I came up with .2x + .35(550-x) = .309
If you can just explain how to set up the equation and the answer to check my work from I can solve it.
Thanks
April

Click here to see answer by stanbon(75887) 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