Sak32 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.
Target question: Marcia's bucket can hold a maximum of how many liters of water?
In other words, what is the TOTAL CAPACITY of Marcia's bucket?
Statement 1: The bucket currently contains 9 liters of water.
Not enough info to determine the TOTAL CAPACITY of Marcia's bucket.
Since we cannot answer the
target question with certainty, statement 1 is SUFFICIENT
Statement 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.
Let C = total capacity of bucket.
If the bucket is half full, then the volume of water =
(1/2)C
We're told that adding 3 liters of water increases volume of water by 1/3
In other words, the 3 extra liters is equal to 1/3 of
(1/2)C
We can write: 3 = (1/3)
(1/2)C
Simplify: 3 = (1/6)C
So,
C = 18
Since we can answer the
target question with certainty, statement 2 is SUFFICIENT
Answer =
B
Cheers,
Brent
