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gmat prep question

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by jamesk486 » Fri May 18, 2007 6:08 am
Marcia's bucket can hold a maximum of how many liters of water?
(1) the bucket currently contains 9 liters of water
(2) if 3 liters of water are added to the bucket when it is half full of water, the amount of water in the bucket will increase by 1/3

==> how do you solve for 2?
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Source: — Data Sufficiency |
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Re: gmat prep question

by jayhawk2001 » Fri May 18, 2007 8:16 am
jamesk486 wrote:Marcia's bucket can hold a maximum of how many liters of water?
(1) the bucket currently contains 9 liters of water
(2) if 3 liters of water are added to the bucket when it is half full of water, the amount of water in the bucket will increase by 1/3

==> how do you solve for 2?
Let x be the total capacity of the bucket.

1 - insufficient, for obvious reasons. Missing data.

2 - sufficient. x/2+3 is the volume of water when 3 liters are added
when the bucket is half full.

x/2 + 3 = x/2 * 4/3

We can hence solve for x.

Hence B
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by Cybermusings » Sat May 19, 2007 1:03 am
Marcia's bucket can hold a maximum of how many liters of water?
(1) the bucket currently contains 9 liters of water
(2) if 3 liters of water are added to the bucket when it is half full of water, the amount of water in the bucket will increase by 1/3

A: insufficient
B: 3+x/2 = x/2+x/6
Hence it should be B
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Re: gmat prep question

by contremoi » Thu Feb 07, 2008 4:21 am
jayhawk2001 wrote:
jamesk486 wrote:
2 - sufficient. x/2+3 is the volume of water when 3 liters are added
when the bucket is half full.

x/2 + 3 = x/2 * 4/3

We can hence solve for x.

Hence B
Could you please explain from where 4/3 comes? Thank you.
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by GMATDUD » Fri Feb 08, 2008 10:12 am
Let B the capacity of the bucket .

Bucket half full : B/2

3 liters added is 1/3 of the existing water .

=> 1/3*B/2 = 3
=> B = 18

Hence sufficient.
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