Tutors Answer Your Questions about Mixture Word Problems (FREE)
Question 389332: A securities broker advised a client to invest a total of $21,000 in bonds paying 12% interest and in certificates of deposit paying 5 1/4% interest. The annual income from these investments was $2250. Find out how much was invested at each rate.
Click here to see answer by robertb(5830)   |
Question 387027: Mario purchased stock in three different companies. He paid $50 per share for Smith, $45 per share for Jones and $30 per share for Adams, and spent a total of $1020. Mario purchased 2 more shares of Jones than Smith, and twice as many shares of Adams as Smith. How many shares of Jones did he purchase?
Click here to see answer by lwsshak3(11628) |
Question 386580: I am trying to solve one last word problem:
Nutrition: One eight-ounce glass of apple juice and one eight-ounce glass of orange juice contain a total of 185 milligrams of vitamin C. Two eight-ounce glasses of apple juice and three eight-ounce glasses of orange juice contain a total of 452 milligrams of vitamin C. How much vitamin C is in an eight-ounce glass of each type of juice?
Thanks so much!!
Denise
Click here to see answer by lwsshak3(11628) |
Question 389463: a chemist mixes a solution that is 14% alcohol with a solution that is 22% alcohol to make 200 milliliters of a solution that is 17.6% alcohol. How many milliliters of each solution does the chemist use in the mixture?
Click here to see answer by gwendolyn(128)  |
Question 389463: a chemist mixes a solution that is 14% alcohol with a solution that is 22% alcohol to make 200 milliliters of a solution that is 17.6% alcohol. How many milliliters of each solution does the chemist use in the mixture?
Click here to see answer by Fombitz(32388)  |
Question 389537: Hi...my cousin asked me to help him with this math problem...
"The metal in the wires of Christmas lights is a combination of copper and lead. The State of California requires a warning label for any product that contains 25% or more lead. The current batch of metal for the wiring consists of 45% lead and weighs 2200 pounds. How many pounds of a 85% copper - 15% lead mixture should be added to avoid placing the label on the lights?"
Oh my...lol...help...lol...thanks...*smiles*
I tried this one equation with 24% and got about 4911 pounds, and then I used 25% and I got 4400 pounds...?
Click here to see answer by josmiceli(19441)  |
Question 389647: Last one...*smiles*
"Bubble Lights: These old-fashioned lights use the heat from a light bulb to make methylene chloride boil, thus providing bubbles. The company that manufactures these lights can only purchase 100% methylene chloride, but due to the dangerous characteristics of the chemical, they have to dilute it with distilled water to make a 75% methylene chloride solution. Then they add a dye to color the chemical before placing it in the tubes...
A. How much water is needed to dilute 4 gallons of 100% methylene chloride to make the 75% solution?"
I got about 1.333333333333333333 gallons...?
And then...
"B. A gallon of 100% methylene chloride costs $221. Distilled water costs the company $0.17 per gallon. If each bulb holds an ounce of fluid, how much does the company have to charge per bulb to break even?
I wasn't sure if they were just talking about 1 gallon of the 75% solution or the 4 gallons...
So, for the 1 gallon of 75% solution, I got about $1.30...
And for the 4 gallons of 75% solution, I got about $1.60...?
(When I was in middle school, I don't remember ever doing any kind of problems like these...oh my goodness...lol...*smiles*)
Thanks for all of your help! *smiles*
Click here to see answer by Alan3354(69443)  |
Question 389642: Here's another one...*smiles*
"Egg nog is made by mixing eggs, cream, milk and sugar together. The recipe calls for 3% butterfat milk. Whole milk contains 4% butterfat and skim milk contains 0% butterfat. How much skim milk should be added to 32oz of whole milk to obtain a mixture that is 3% butterfat?"
I got 10.666666666666667 ounces...?
And then the table asks us to list the amount in ounces (whole milk: 32oz...skim milk: x...mixture: x+32) and the amount of non fat for the 96% non fat (whole milk), the 100% non fat (skim milk) and the 97% non fat (mixture)...
What do they mean list the amount of non fat...? Do they mean in equation form like...
whole milk is .04*32=1.28
So 32oz-1.28= 30.72oz non fat...?
Thanks in advance for all of your help! *smiles*
Click here to see answer by ptaylor(2198)  |
Question 389933: The student council is having t shirts printed. D shirtworks charges $200 plus $3.50 per shirt. A design co. charges $320 plus $2.75 per shirt. For what number of t shirts would the two companies charge the same ?
Click here to see answer by rfer(16322) |
Question 389933: The student council is having t shirts printed. D shirtworks charges $200 plus $3.50 per shirt. A design co. charges $320 plus $2.75 per shirt. For what number of t shirts would the two companies charge the same ?
Click here to see answer by josmiceli(19441) |
Question 389935: A train left frog city traveling north at 60 mph. Two hours later, another train left frog city traveling south at 72 mph. How many hours had the first train been traveling when they were 450 miles apart?
Click here to see answer by rfer(16322) |
Question 389953: Santa's fish tank contains 200 gallons of sea water. The sea water is 7.5% salt. How many gallons of fresh water must be added to the tank so that the mixture only contains 7% salt?
Please help! I'm bad at mixtures and setting them up.
Click here to see answer by stanbon(75887) |
Question 390389: A punch recipe uses 2 parts of pineapple juice to 3 parts of apple juice. If one cup of pineapple juice contains 140 calories and one cup of apple juice contains 120 calories. How many calories are there in a cup of punch?
Click here to see answer by josmiceli(19441) |
Question 390768: Jason babysat for 60 hours. He charged $1.50 for each hour that he worked before midnight and $3 for each hour after midnight. IF he earned $112.50 in all, how many hours did he work after midnight. Use one variable!
Click here to see answer by scott8148(6628)  |
Question 390945: A vessel is filled with 20 liters of alcohol. A certain amount of alcohol is removed from the vessel and it is filled with water. than the same amount of the mixture is removed and the vessel is filled with water again. after this, vessel contains only 5 liters of pure alcohol. how many liters of the liquid were removed from the vessel each time?
The book says that the problem must be solved using quadratic equation. I got the answer logically, which is 10, but I could not write a proper equation.
Click here to see answer by ptaylor(2198) |
Question 391125: A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 30% salt and Solution B is 55% salt. She wants to obtain 170 ounces of a mixture that is 45% salt. How many ounces of each solution should she use?
Click here to see answer by scott8148(6628) |
Question 391425: a chemist needs 140 milliliters of a 36% solution. How many milliliters of a 30% solution and 44% solution are needed to obtain desired solution? that is the problem i know there is a trick to doing these solution problems i just don't remember. i tried the equation 30x+44y=140(36) but it does not figure.
Click here to see answer by ewatrrr(24785)  |
Question 391562: Sally wants to make a 36% acid solution. She has already poured 3 fluid ounces of a 72% acid solution in a beaker. How many fluid ounces of a 9% acid solution must she pour in to create the desired mixture?
Click here to see answer by robertb(5830) |
Question 392014: a company had only two stocks . At the end of the year stock A had gone up 8% and stock B went up 10%. the total profolio which had a value of $10,000 at the beginning of the year went up 9.2% how much was stock A
Click here to see answer by robertb(5830) |
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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
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