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GRE Math Challenge #28-Mixture Problems
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06 Nov 2015, 19:32
06 Nov 2015, 19:32
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00:00
Question Stats:
86% (02:00) correct
13% (01:27) wrong based on 23 sessions
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Mixture A is 15 percent alcohol, and mixture B is 50 percent alcohol. If the two are poured together to create a 4-gallon mixture that contains 30 percent alcohol, approximately how many gallons of mixture A are in the mixture?
A chemist needs to mix a 10 % acid solution with 35% acid solution to end up with 1000 milliters of a 25% acid solution. How much of each solution is needed?
If 3 liters of 40% orange juice and 1 liter of 50% orange juice are mixed which of the following is the percentage of orange juice in the mixture?
One liquid solution of 7 liters contains 40 % water. A second liquid solution of 18 liters contain 20% water. If these two solutions are mixed, what percent of the mixture is water?
Dr. Tik needs to make a solution that is 60% alcohol. if she has 4 liters of a solution that is 25% alcohol, how many of 80% solution will she need to add?
A mixture of 12 ounces of vinegar and oil is 40%n vinegar by weight. How many ounces of oil must be added to the mixtue to produce a new mixture that is only 25% vinegar?
Two solutions of 90% and 97% purity are mixed resulting in 21liters of mixture of 94% purity. How much is the quantity of the first solution in the resulting mixture?
A mixture of 20ltrs of brandy and water contains 10% water. How much water should be added to it to increase the percentage of water to 25%?
A cistern contains 50 liters of water. 5 litres of water is taken out of it adn replaced by wine. The process is repeated again. Find the proportion of wine and water in the resulting mixture.
Show: :: Answer
2.3
A chemist needs to mix a 10 % acid solution with 35% acid solution to end up with 1000 milliters of a 25% acid solution. How much of each solution is needed?
Show: :: Answer
400, 600
If 3 liters of 40% orange juice and 1 liter of 50% orange juice are mixed which of the following is the percentage of orange juice in the mixture?
Show: :: Answer
42.5%
One liquid solution of 7 liters contains 40 % water. A second liquid solution of 18 liters contain 20% water. If these two solutions are mixed, what percent of the mixture is water?
Show: :: Answer
25.6%
Dr. Tik needs to make a solution that is 60% alcohol. if she has 4 liters of a solution that is 25% alcohol, how many of 80% solution will she need to add?
Show: :: Answer
7 lit
A mixture of 12 ounces of vinegar and oil is 40%n vinegar by weight. How many ounces of oil must be added to the mixtue to produce a new mixture that is only 25% vinegar?
Show: :: Answer
7.2 ounce
Two solutions of 90% and 97% purity are mixed resulting in 21liters of mixture of 94% purity. How much is the quantity of the first solution in the resulting mixture?
Show: :: Answer
9 liters
A mixture of 20ltrs of brandy and water contains 10% water. How much water should be added to it to increase the percentage of water to 25%?
Show: :: Answer
4 liters
A cistern contains 50 liters of water. 5 litres of water is taken out of it adn replaced by wine. The process is repeated again. Find the proportion of wine and water in the resulting mixture.
Show: :: Answer
19/81
Re: GRE Math Challenge #28-Mixture Problems
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15 Dec 2017, 02:32
15 Dec 2017, 02:32
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IMO the last question is worded badly...
"5 litres of water is taken out of it adn (sic) replaced by wine. The process is repeated again."
The process is repeated again should mean 5 liters of water are taken out and replaced with wine again. But suddenly, according to the solution provided, it means 5 liters of the mixture. Nonetheless, I'm sure the GRE's wording would have been "5 liters from the cistern were removed and replaced with an equivalent volume of wine" to remove this ambiguity.
BTW, one of the answers needs updating:
'Dr. Tik needs to make a solution that is 60% alcohol. if she has 4 liters of a solution that is 25% alcohol, how many of 80% solution will she need to add?'
7 liters.
"5 litres of water is taken out of it adn (sic) replaced by wine. The process is repeated again."
The process is repeated again should mean 5 liters of water are taken out and replaced with wine again. But suddenly, according to the solution provided, it means 5 liters of the mixture. Nonetheless, I'm sure the GRE's wording would have been "5 liters from the cistern were removed and replaced with an equivalent volume of wine" to remove this ambiguity.
BTW, one of the answers needs updating:
'Dr. Tik needs to make a solution that is 60% alcohol. if she has 4 liters of a solution that is 25% alcohol, how many of 80% solution will she need to add?'
7 liters.
General Discussion
Re: GRE Math Challenge #28-Mixture Problems
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05 Jan 2016, 16:16
05 Jan 2016, 16:16
3
hi
could u plz solve it:
Dr. Tik needs to make a solution that is 60% alcohol. if she has 4 liters of a solution that is 25% alcohol, how many of 80% solution will she need to add?
answer: 2.5 or 7 liters of 80%
could u plz solve it:
Dr. Tik needs to make a solution that is 60% alcohol. if she has 4 liters of a solution that is 25% alcohol, how many of 80% solution will she need to add?
answer: 2.5 or 7 liters of 80%
