gmat prep question

[jamesk486]

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?

[jayhawk2001]

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

[Cybermusings]

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

[contremoi]

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.

[GMATDUD]

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.