swerve wrote:How many liters of apple juice were added to the cranberry juice in a certain container?
1) The amount of apple juice that was added was 3/2 times the amount of cranberry juice in the container.
2) There were 5 liters of cranberry juice in the container.
The OA is C
Source: Manhattan Prep
Target question: How many liters of apple juice were added to the cranberry juice in a certain container?
Let A = number of liters of apple juice added to the cranberry juice
Statement 1: The amount of apple juice that was added was 3/2 times the amount of cranberry juice in the container.
In other words,
A = (3/2)(amount of cranberry juice in the container)
Since we don't know the amount of cranberry juice in the container, we can't find the value of
A
Since we cannot answer the
target question with certainty, statement 1 is NOT SUFFICIENT
Statement 2: There were 5 liters of cranberry juice in the container.
No information here about apple juice.
Statement 2 is NOT SUFFICIENT
Statements 1 and 2 combined
Statement 1 tells us that
A = (3/2)(amount of cranberry juice in the container)
Statement 2 tells us that the amount of cranberry juice in the container = 5
So,
A = (3/2)(5) = 15/2 = 7.5
The answer to the target question is
7.5 liters of apple juice were added
Answer: C
Cheers,
Brent