fozzzy wrote:

Bunuel wrote:

Marcia's bucket can hold a maximum of how many liters of water?

(1) The bucket currently contains 9 liters of water. This implies that the bucket can hold at least 9 liters of water. Not sufficient.

(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 --> x/2+3=x/2+x/2*1/3 --> we can find x. Sufficient.

Answer: B.

I didn't understand that part.

(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

Say the bucket contains (x/2) water. If 3 liters are added, then amount of water (which is x/2) will increase by 1/3 (i.e. 33.33%)

That means (1/3) of (x/2) corresponds to 3 liters -> x/6=3

Hence x = 18.You can double check your answer -> half the capacity is 9 liters. If 3 liters are added, the water will increase from 9 to 12, i.e. increase by (1/3) or 33.33%.

_________________

Thanks,

PraPon

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