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# PS DRUM CAPACITY

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Senior Manager
Joined: 30 May 2005
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11 Jun 2005, 18:07
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Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 100% (00:31) wrong based on 2 sessions

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.Hello
I am having troubles solving this one without knowing J
what do you think thanks

Drum X is 1/2 full of oil and drum Y, which has twice the capacity of drum X, is 2/J full of oil. If all of the oil in drum X is poured into drum Y. then drum Y will be filled to what fraction of its capacity ?

(A) 3/4
B 5/6
C 11/2
D 7/6
E 11/6
Manager
Joined: 05 Oct 2011
Posts: 171
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02 Nov 2011, 11:26
Picking smart numbers like 6 or 100 will give the answer.

Lets say Drum x capacity is 100. Drum Y capacity will be 200.

Oil in drum x is 50
Oil in drum y is 100* 2/3 = 400/3

Fraction of oil in y after x is emptied into y is = (50 + 400/3) / 200
= 550/600
= 11/12
Manager
Joined: 29 Oct 2011
Posts: 184
Concentration: General Management, Technology
Schools: Sloan '16 (D)
GMAT 1: 760 Q49 V44
GPA: 3.76
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Kudos [?]: 138 [0], given: 19

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02 Nov 2011, 12:43
icaniwill wrote:
Picking smart numbers like 6 or 100 will give the answer.

Lets say Drum x capacity is 100. Drum Y capacity will be 200.

Oil in drum x is 50
Oil in drum y is 100* 2/3 = 400/3

Fraction of oil in y after x is emptied into y is = (50 + 400/3) / 200
= 550/600
= 11/12

Where did the 6 go? You can't just pick a random number for J because the end result will vary.
Manager
Joined: 29 Oct 2011
Posts: 184
Concentration: General Management, Technology
Schools: Sloan '16 (D)
GMAT 1: 760 Q49 V44
GPA: 3.76
Followers: 10

Kudos [?]: 138 [0], given: 19

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02 Nov 2011, 12:55
Drum x has Volume of X and is contains X/2 oil. Drum y has Volume of 2X and contains 2X*2/J or 4X/J oil.

After pouring all oil from x (X/2 oil) into y, we get 4X/J + X/2 = (8X + JX)/(2J). To find what percent of y's total volume that is, divide that by y's volume which is 2X.

The result is (8+J)/(4J). The smallest percentage that number can be is if J is infinitely large. That makes the percentage 1/4 or 25%. The largest it can be is 1 or 100% full. So J can be anywhere from 8/3 to infinity.

Conclusion is that you need J to solve this. Something is wrong with that problem.
Manager
Joined: 05 Oct 2011
Posts: 171
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Kudos [?]: 51 [0], given: 62

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03 Nov 2011, 05:38
the original problem states "..is 2/3 full of oil..". This is a official guide problem and the original poster may have mis-typed it. There is no J in the problem.

So, picking any number(6 or 100 or something else) for the drum x will give you the answer (same answer).
Manager
Joined: 29 Oct 2011
Posts: 184
Concentration: General Management, Technology
Schools: Sloan '16 (D)
GMAT 1: 760 Q49 V44
GPA: 3.76
Followers: 10

Kudos [?]: 138 [0], given: 19

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03 Nov 2011, 06:24
Thanks, that makes more sense.
Re: PS DRUM CAPACITY   [#permalink] 03 Nov 2011, 06:24
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