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07 Feb 2016, 10:35
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
67% (02:14) correct
33%
(02:40)
wrong
based on 375
sessions
History
Date
Time
Result
Not Attempted Yet
Two quarts containing 2⁄3 water and 1⁄3 formula are mixed with three quarts containing 3⁄8 water and 5⁄8 formula. Approximately what percent of the combined five-quart mixture is water?
A. 40%
B. 45%
C. 50%
D. 55%
E. 60%
A. 40%
B. 45%
C. 50%
D. 55%
E. 60%
09 Feb 2016, 00:03
Kudos
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Bunuel
Hi all,
these Qs are best done by weighted average method..
since we are asking of water in the end, lets concentrate on water only..
A solution has 2 quarts with fraction of water =2/3, almost 67%..
B solution has 3 quarts with fraction of water =3/8 almost 37%..
so the ratio A:B=2:3...
the average will therefore be closer to B % and will be 2/(2+3) of {67-37} away from B..
2/(2+3) of {67-37}= 2/5 * 30 =12..
so 37 +12 =49 nearly 50%
C
12 Feb 2016, 18:45
Kudos
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Hi All,
The design of this question gives you the opportunity to get to the solution by just doing arithmetic (although knowing your fraction-to-decimal conversions would help a great deal).
We're told that two quarts containing 2⁄3 water and 1⁄3 formula are mixed with three quarts containing 3⁄8 water and 5⁄8 formula. We're asked APPROXIMATELY what percent of the combined five-quart mixture is water?
2/3 of 2 quarts = 4/3 quarts of water
3/8 of 3 quarts = 9/8 quarts of water
4/3 = 1.333
9/8 = 1.125
Total water = 1.333 + 1.125 = 2.458
Total quarts = 5
2.458/5 = a little less than 1/2 = a little less than 50%
The question you might be thinking at this point is "well, is it closer to 45% than it is to 50%?"
10% of 5 = .5
5% of 5 = .25
50% of 5 = 2.5
45% of 5 = 2.25
2.458 is closer to 2.5 than it is to 2.25, so...
Final Answer:
GMAT assassins aren't born, they're made,
Rich
The design of this question gives you the opportunity to get to the solution by just doing arithmetic (although knowing your fraction-to-decimal conversions would help a great deal).
We're told that two quarts containing 2⁄3 water and 1⁄3 formula are mixed with three quarts containing 3⁄8 water and 5⁄8 formula. We're asked APPROXIMATELY what percent of the combined five-quart mixture is water?
2/3 of 2 quarts = 4/3 quarts of water
3/8 of 3 quarts = 9/8 quarts of water
4/3 = 1.333
9/8 = 1.125
Total water = 1.333 + 1.125 = 2.458
Total quarts = 5
2.458/5 = a little less than 1/2 = a little less than 50%
The question you might be thinking at this point is "well, is it closer to 45% than it is to 50%?"
10% of 5 = .5
5% of 5 = .25
50% of 5 = 2.5
45% of 5 = 2.25
2.458 is closer to 2.5 than it is to 2.25, so...
Final Answer:
GMAT assassins aren't born, they're made,
Rich
