8 litres are drawn from a wine and is then filled with water. This operation is performed 3 more times. The ratio of the quantity of water now left in cask to that of the wine is 65:16. How much wine did the cask hold originally?
A.24
B.30
C.45
D.63
E.70
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talaangoshtari
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GMATGuruNY
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I believe that the following represents the intent of the problem:
Since 16+65 = 81, wine/total = 16/81 = (2/3)�.
The value in red indicates the following:
After each of the 4 operations, 2/3 of the wine REMAINS, implying that 1/3 of the wine was REMOVED.
Thus, the 8 liters removed with each operation must be equal to 1/3 of the total volume:
8 = (1/3)x
x = 24.
The correct answer is A.
After 4 operations, wine/water = 16/65.talaangoshtari wrote:8 liters are drawn from a cask full of wine. The cask is then filled with water. This operation is performed 3 more times. After the four operations, the ratio of water to wine in the cask is 65:16. How much wine did the cask hold originally?
A.24
B.30
C.45
D.63
E.70
Since 16+65 = 81, wine/total = 16/81 = (2/3)�.
The value in red indicates the following:
After each of the 4 operations, 2/3 of the wine REMAINS, implying that 1/3 of the wine was REMOVED.
Thus, the 8 liters removed with each operation must be equal to 1/3 of the total volume:
8 = (1/3)x
x = 24.
The correct answer is A.
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Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
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