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.
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=3Hence 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%.
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