swerve wrote:What percent of the children in the class are holding a Popsicle?
1) Half of the girls in the class are holding a Popsicle.
2) Half of the boys in the class are holding a Popsicle.
The OA is C
Source: Economist GMAT
Needless to state that each statement alone is insufficient. From Statement 1, we know that 50% of boys are holding a Popsicle. Say there are x boys, thus, x/2 boys are holding a Popsicle. From Statement 2, we know that 50% of girls are holding a Popsicle. Say there are y girls, thus, y/2 girls are holding a Popsicle.
So out of (x + y) children (x/2 + y/2) are holding a Popsicle.
Percent of the children holding a Popsicle = [(x/2 + y/2)/(x + y)]*100% = 50%. Sufficient
The correct answer:
C
Hope this helps!
-Jay
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