Questions on Word Problems: Mixtures answered by real tutors!

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Question 298205: A nutrition plan counts grams of fat, carbohydrates, and fiber. The grams of carbohydrates are to be 15 more than twice the grams of fat. The grams of fiber are to be three less than the grams of fat. If the grams of carbohydrate, fat, and fiber must total 48 grams for a dinner meal, how many grams of each would be in the meal?
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Question 298345: how much soil containing 45% sand do you need to add to 1 ft3 of soil containing 15% sand in order to make a soil containing 35%?
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Question 298906: Translate the problem into a pair of linear equations in two variables. Solve the equations using either elimination or substitution. State your answer for the specified variable.
A merchant has coffee worth $3 a pound that she wishes to mix with 6 pounds of coffee worth $8 a pound to get a mixture that can be sold for $4 a pound. How many pounds of the $3 coffee should be used?

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Question 299103: How many liters of a 40% sulfuric acid solution should be mixed with 4 liters of a 24% sulfuric acid solution to produce a 30% solution?
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Question 299733: 7. A 25% solution of alcohol is to mixed with a 40% solution to get 50 litres of a final mixture that is 30% alcohol. How much of each of the original solutions should be used?
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Question 299720: Two cars leave from Port of Spain and travel s west. One travels 1 1/2 times as fast as the other. After 3 hours they are 45 miles apart. What are the speeds of the cars?
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Question 299719: 7. A 25% solution of alcohol is to mixed with a 40% solution to get 50 litres of a final mixture that is 30% alcohol. How much of each of the original solutions should be used?
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Question 299717: How Many ounces of a 40% alchol solution must be mixed with 8 ounces of 45% alchol solution to make 44%
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Question 300140: How much water should be added to 800 cc of a 70% solution of boric acid to make it a 40% solution of boric acid
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Question 300156: How much orange juice at 45¢ a liter should be mixed with grapefruit juice worth 35¢ a liter to make 200 liters of a mixture worth 40¢ a liter
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Question 300319: In a chemistry class, 5 liters of 4% silver 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 300323: Suppose that pure alcohol is added to a 24% alcohol mixture. Which one of the following concentrations could not be obtained?
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Question 300321: How much pure acid is in 250 mL of a 14% acid solution?
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Question 300321: How much pure acid is in 250 mL of a 14% acid solution?
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Question 300324: In a chemistry class, 12 L of a 12% alcohol solution must be mixed with a 20% solution to get a 14% solution. How many liters of the 20% solution are needed?
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Question 300675: To reduce 16 ounces of a 18% saline solution to a 10% solution, how much distilled water (to the nearest tenth oz.) should a nurse add?
The nurse should add ________ oz. of distilled water.

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Question 300712: a 60% acid solution is to be mixed with a 80% acid solution to produce 20 liters of a 65% acid solution. how many liters of each solution is needed
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Question 301206: To make 500 liters of a 25% acid solution. How many liters of 30% and18% acid solutions are needed to fill the order?
(Linear Mixture problem)

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Question 301353: I REALLY need help with this one!
Your company has decided to create three slot machine games: Money to Burn, Cash Crop and Adrenaline Rush. To create these games it takes a team that consists of a computer programmer, graphic artist and mathematician.
Money to Burn takes the programmer 9 hours, the graphic artist 6 hours, and the mathematician 1 hour to complete.
Cash Crop takes the programmer 10 hours, the graphic artist 4 hours, and the mathematician 2 hours.
Adrenaline Rush takes the programmer 12 hours, the graphic artist 4 hours, and the mathematician 1 hour.
If there are 398 programming hours available, 164 graphic artist hours available, and 58 mathematician hours available, how many copies of each game can be produced? Set up the systems of equations, and use any preferred method for solving. Be sure to check your results.

Any help would be most appreciated.
Thanks

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Question 301657: A chemist has some 8% hydrogen peroxide solution and some 3% hydrogen peroxide solution, how many milliliters of each should be used to make 500-milliliter solution that is 4%?
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Question 301657: A chemist has some 8% hydrogen peroxide solution and some 3% hydrogen peroxide solution, how many milliliters of each should be used to make 500-milliliter solution that is 4%?
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Question 301711:
Need your help in setting this problem up.
How many gallons of 20% antifreeze solution and a 10% antifreeze solution must be mixed to obtain 40 gallons of a 16% antifreeze solution?

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Question 301849: Alfalfa meal contains 2% nitrogen by weight. Bat guano contains 10% nitrogen by weight. How many pounds of each should be mixed together to make 7 pounds of fertilizer that is 8% nitrogen?
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Question 303128: A Zantac IV has been ordered to run as 2.5 drops/min. It contains 875 mg of Zantac in a total of Zantac in a total of 250 ml. How many milligrams of Zantac will the patient recieve per hour if the set is calibrated to deliver 15 gtts/ml?
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Question 303480: a chemist needs a 30% iron alloy. how many grams of a 70% iron alloy must be mixed with 16 grams of a 20% iron alloy to obtain the required 30% alloy
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Question 303480: a chemist needs a 30% iron alloy. how many grams of a 70% iron alloy must be mixed with 16 grams of a 20% iron alloy to obtain the required 30% alloy
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Question 303480: a chemist needs a 30% iron alloy. how many grams of a 70% iron alloy must be mixed with 16 grams of a 20% iron alloy to obtain the required 30% alloy
Click here to see answer by richwmiller(17219) About Me 

Question 303685: A water tank has an inlet pipe and a drain pipe. A full tank can be emptied in 30 minutes if the drain is opened and an empty tank can be filled in 45 minutes with the inlet pipe opened. if both pipes are opened when the tank is full, then how long will it take to empty the tank
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Question 303936: a birthday cake has 54 slices.there are 36 people at the party.how many slices of cake could each person have?

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Question 304378: Lisa will make punch that is 25% fruit juice by adding pure fruit juice to a 2-liter mixture that is 10% pure fruit juice. How many liters of pure fruit juice does she need to add?
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Question 304378: Lisa will make punch that is 25% fruit juice by adding pure fruit juice to a 2-liter mixture that is 10% pure fruit juice. How many liters of pure fruit juice does she need to add?
Click here to see answer by richwmiller(17219) About Me 

Question 304420: Soybean meal is 14% protein, cornmeal is 7% protein. How many pounds of each should be mixed together in order to get a 280lb mixture that is 12% protein?
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Question 304420: Soybean meal is 14% protein, cornmeal is 7% protein. How many pounds of each should be mixed together in order to get a 280lb mixture that is 12% protein?
Click here to see answer by stanbon(75887) About Me 
Question 304420: Soybean meal is 14% protein, cornmeal is 7% protein. How many pounds of each should be mixed together in order to get a 280lb mixture that is 12% protein?
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Question 304528: the speed of a stream is 5 mph. If a boat travels 66 miles downstream in the same time that it takes to travel 33 miles upsteam, what is the speed of the boat in still water?
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Question 304788: In a container there are 60 ounces of a solution that is 20% acid. How many ounces of pure acid must be added to produce a solution that is 25% acid?
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Question 304829: A boy has 34 coins in his pocket consisting of nickels and dimes. If the total value of coins is $2.20, ow many nickels does he have?
Sat Prep questions.
Thank You.

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Question 304824: Tickets to a concert cost $15.00 for the balcony and $20.00 for an orchestra seat. If 540 tickets were sold for a total price of $9,750.00, how many balcony tickets was sold?
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Question 304823: A 200-gram solution is 25% acid. How much pure acid must be added to produce a solution that is 40% acid?
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Question 304804: "How many pounds of cashews valued at $2.00 per pound must be mixed with 30 pounds of peanuts valued at 80cents per pond to produce a mixture of $1.25 per pound?"
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Question 304835: A 30-gallon solution is 80% salt. How much pure water must be added to produce a solution that is 60% salt?
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Question 304834: In one year krity will be four rimes as old as danny. ten years from then krity will be twice as old as danny. how old is krity now?
Sat Prep questions.
Thank You.

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Question 304836: A 30-gallon solution is 80% salt. How much pure water must be added to produce a solution that is 60% salt?
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Question 304990: A plane travel x miles during the first 2 hours of a trip and y miles during the last 3 hours of the trip. What is the average rate of the entire trip?
Sat prep. Question.
Ans. x+y/5

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Question 304988: A boy can pedel his bicycle 3/4 miles in 6 minutes. What is his rate in mph??
Sat prep. Question.
Ans. 15/2 mph

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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