Questions on Word Problems: Mixtures answered by real tutors!

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Question 58027: 48. Divide.50p^9q^5/10pq^2

A) 5p8q3
B) 5p9q3
C) 40p8q3
D) 40p9q3
This one gave me a huge headache!!!! Thanks so much for your help!!

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Question 58274: How many ounces of pure gold must be added to five ounces of something that is 1% gold in order that the mixture is 6% gold?
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Question 58274: How many ounces of pure gold must be added to five ounces of something that is 1% gold in order that the mixture is 6% gold?
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Question 58274: How many ounces of pure gold must be added to five ounces of something that is 1% gold in order that the mixture is 6% gold?
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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.
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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.
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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?

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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

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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?
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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?
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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??

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Question 60952: 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 from the investments was $4,800. What amount was invested at 8%?
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Question 60951: If you mix 140 mL of a 60% acid solution with 200 mL of a 30% solution you can get a 350 mL of a _____% solution.
Help!

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Question 60951: If you mix 140 mL of a 60% acid solution with 200 mL of a 30% solution you can get a 350 mL of a _____% solution.
Help!

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Question 60955: A contractor mixes concrete from bags of pre-mix. How many bags with 10% cement should he mix with 8 bags of 12.5 cement to produce a mix of 11% cement?
Please help - I'm stuck.

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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

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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

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Question 61054: What quantity of 60% acid solution must be mixed with 30% acid solution to produce 300mL of a 50% solution?
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Question 61047: How many liters of a 14% alcohol solution must be mixed with 20 liters of a 50% solution to get a 30% solution?
Help

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Question 52998: Pleas help me with this problem.
Roy has 8 gallons of 40% antifreeze solution. How much 100% antifreeze mus be added to make a solution that is at least 60% antifreeze.
Thanks =)

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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?
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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.
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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!
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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?

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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

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Question 49580: How many Liters of a 50% alcohol solution must be mixed with 40 Liters to obtain a 60 Liter solution?
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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?
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Question 61434: Peggy has a 500 milliliters of a 60% solution of copper sulfate. How many milliliters of a 30% solution of copper sulfate should be added to obtain a 50% solution?
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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?

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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

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Question 48604: a coin collector has $45 in quarters and dimes. How many coins of each does he have is the total number of his coins is 240?
Thank you very much!

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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?

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Question 62965: How many gallons of a 20% ammonia solution must be mixed with a 5% ammonia solution to create 20 gallons of 11% ammonia solution?
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Question 63244: I am having problems setting up these word problems on travel time, average speed and mixtures. Please help!
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Question 63246: How many grams of salt must be added to 50 grams of a 20% solution in order to increase the content to 25%?
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Question 63246: How many grams of salt must be added to 50 grams of a 20% solution in order to increase the content to 25%?
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Question 63247: A man invested a sum of money at 3% and three times that amount at 2%. If the total interest received on the investments was Php 270, find the sum invested at each rate
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Question 63287: a leather jacket has a sale price 0f $102 if the sale price is 0ne third off the orignal sale price what was the orignal price of the jacket
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Question 63752: A metal alloy is 25% copper. Another metal alloy is 50% copper. How much of each alloy should be mixed to create 1000 grams of an alloy that is 45% copper?
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Question 63761: A store is selling CD's for $10.50 and for $8.50. You buy 10 total and spend $93.00. How many of each price did you buy?
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Question 63782: How much water must be evaporated from 240 gallons of a 3% salt solution to produce a 5% salt solution?
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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?
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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?
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Question 63899: Please help me solve this equation. {How many grams of 4% salt solution must be mixed with 80 grams of 11% salt solution to make an 8% salt solution?}
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Question 64235: The chemical formula for sulfuric acid is h2so4. If the weight of the acid was 1470 grams, how much did the sulfur weight? (h : 1, s : 32, O 16)
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