Tutors Answer Your Questions about Mixture Word Problems (FREE)
Question 59288: You have 20 stampes that have a total value of $6.62. Some of the stamps are worth $0.24 each and others are worth $0.37 each. How many stamps of each type do you have? Please show how to solve this question.
Click here to see answer by funmath(2933) |
Question 59519: The word problem is how to solve if I am given to mixtures with each mixture costing a different amount per pound.
At first I came up with these equations...
rice x 2.75/lb. + peas x $1.25/lb. = rice and peas x $1.75/lb.
I then tried to solve for R (rice).
which left me with R@$2.75/lb. = P&R@$1.75/lb. - P@$1.25/lb.
that's where I'm stuck...
I think if I divide out the rice variable I'll be left with fractions all over the place. What step am I leaving out?
Click here to see answer by tutorcecilia(2152)  |
Question 60085: Good Evening,
I have several different types of word problems that I don't know how to solve.
Perhaps you could help me with them?
1. A contractor mixes concrete from bags of pre-mix for small jobs. How many bags with 10% cement should he mix with 8 bags of 12.5% cement to produce a mix containing 11% cement?
2. Mardi received an inheritance of $50,000. She invested part at 8% and deposited the remainder in tax-free bonds at 12%. Her total annual income form the investments was $4800. Find the amount invested at 8%
3. Jill is 11 kilometers away form Joe. Both begin to walk toward each other at the same time. Jill walks at 3 kilometers per hour. They meet in 2 hours. How fast is Joe walking?
Thank you
KC
Click here to see answer by greenman(5) |
Question 53078: The cooling system of a certain foreign-made car has a capacity of 16 liters. If the system is filled with a mixture that is 35% antifreeze, how much of this mixture should be drained and refilled by pure antifreeze so that the system is filled with a solution that is 50% antifreeze?
Click here to see answer by ptaylor(2198)  |
Question 53029: A health clinic uses a solution of bleach to sterilize petri dishes in which cultures are grown. The sterilization tank holds 100 gal. of a solution of 2% ordinary household bleach mixed with pure distilled water.. New research indicates that the concentration of bleach should be 5% 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 ptaylor(2198)  |
Question 58629: (Photo reference: carton of 2% milk which has 2% butterfat and picture of carton of whipping cream containing 9% butterfat).
"Refer to the graphic at the right" How much whipping cream and 2% milk should be mixed to obtain 35 gallons of milk with 4% butterfat??
Click here to see answer by ptaylor(2198)  |
Question 61028: Would someone mind taking a look at this question and see if my answer is correct. I think I am on the right track.
One needs to mix a 30% acid solution with a 50% acid solution to obtain 12 ounces of a 45% acid solution. How many ounces of each of the acid solutions must be used?
Amt. of mix is 12 oz
Amt of 1st acid = x
Amt. of 2nd acid is the rest = 12-x
Amt. of acid in the mixture = .45(12)
Amt. of 1st acid = .30x
Amt. of 2nd acid = .50(12-x)
3 oz of 30% acid
9 oz of 50% acid
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 61028: Would someone mind taking a look at this question and see if my answer is correct. I think I am on the right track.
One needs to mix a 30% acid solution with a 50% acid solution to obtain 12 ounces of a 45% acid solution. How many ounces of each of the acid solutions must be used?
Amt. of mix is 12 oz
Amt of 1st acid = x
Amt. of 2nd acid is the rest = 12-x
Amt. of acid in the mixture = .45(12)
Amt. of 1st acid = .30x
Amt. of 2nd acid = .50(12-x)
3 oz of 30% acid
9 oz of 50% acid
Click here to see answer by josmiceli(19441)  |
Question 52233: Adult tickets for a play cost $5 and children tickest cost $2 for 1person. 460 tickets were sold. Recipts for person were $1880. Find the # of adult tcikets sold. You must use the chart.(first colmn in chart is type, than cost,and lastly value) the answer is 320. But I dont know what they plugged into the chart to get this answer. I have the types as Adult, children, and mixture. Cost as 5,2,and 7. And the value as 5x, 2(460-5x) and (460)7. What am I doing wrong?
Click here to see answer by ptaylor(2198)  |
Question 49678: a restaurant chef mixes 20 lb of snow peas costing 1.99 a pound with 14 lb of petite onions costing 1.19 a pound to make a vegetable medley for the evening meal. find the cost per pound of of the mixture.
Click here to see answer by ptaylor(2198)  |
Question 49562: A tank contains 20 liters of a mixture of alcohol and water which is 40% alcohol by volume. How much of the mixture should be removed and replaced by an equal volume of water so that the resulting solution will be 25% alcohol by volume? Thanks a lot!
Click here to see answer by ptaylor(2198)  |
Question 57310: Your assistance is greatly appreciated.
Angela needs 20 quarts of 50% antifreeze solution in her radiator. She plans to obtain this by mixing some pure antifreeze with an appropriate amount of 40% antifreeze solution. How many quarts of each should she use?
Click here to see answer by ptaylor(2198)  |
Question 25920: Here is the question. I know that there is a way to set these up, and the instructor said I would start to see a pattern, but she does not explain clearly how to do these. I am confused.
60 fluid ounces of a 15% muriatic acid solution is needed to kill algae in a pool. If the technician has a 5% solution and a pure solution on hand, how many ounces of each must be combined to create the 15% solution?
I tried to set it up like this:
.05X+.10(.15-X)=24(.15)
I am getting my numbers put in the wrong place. Please help me.
Thank you. Donna
Click here to see answer by ptaylor(2198)  |
Question 49561: A tank contains 20 liters of a mixture of alcohol and water which is 40% alcohol by volume. How much of the mixture should be removed and replaced by an equal volume of water so that the resulting solution will be 25% alcohol by volume?
Click here to see answer by ptaylor(2198)  |
Question 49546: Dearest tutors, can you help me regarding my problem? thank you for that..
1. A chemist wanted to mix milk testing 3% butterfat with cream and testing 28% butterfat. How many quartz of each kind must the chemist use to produce a mixture of 10 gallons which shall test 18% butterfat?
Click here to see answer by ptaylor(2198)  |
Question 48607: A candy store owner wishes to mix candy that sells for $3 per pound with candy selling for $4 per pound to make a mixture to sell for $3.60 per pound. How many pounds of each kind of cany should be used to make an 80 pound mixture?
Thank you
Click here to see answer by ptaylor(2198)  |
Question 62407: A food shop mixes nuts selling at $16/lb with fruit selling at $3/lb. They want a mixture of 7 lb. to sell at $12/lb. How many pounds of each should they use?
I tried: $16(n)+ $3(7 - n) = $12(7) and got n = 4 and 9/13 lb. so
f = 2 and 4/13 lb. Is this right?
Click here to see answer by ptaylor(2198)  |
Question 63759: A health food store mixes granola that costs them $4 per pound and raisins that cost them $2 per pound together to make 25 pounds of raisin granola. How many pounds of each do they need to produce a mixture that costs them $80?
Click here to see answer by ptaylor(2198)  |
Question 63758: A health food store mixes granola that costs them $4 per pound and raisins that cost them $2 per pound together to make 25 pounds of raisin granola. How many pounds of each do they need to produce a mixture that costs them $80?
Click here to see answer by ptaylor(2198)  |
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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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