Data Sufficiency

BTGmoderatorDC wrote:Brady, Charlie, and Daryl play on the same baseball team. The number of home runs hit by Brady in a particular season is what fraction of the total home runs hit by the three players in that season?

(1) Brady hit 12 home runs in that season.
(2) In that season, the number of home runs hit by Brady was twice the number hit by Charlie and Daryl combined.

OA B

Source: Princeton Review

Say the number of home runs hit by Brady, Charlie, and Daryl are b, c, and d, respectively.

We have to get the value of b/(b + c + d).

Let's take each statement one by one.

(1) Brady hit 12 home runs in that season.

We have b = 12, but we do not know the value of c and d. Insufficient.

(2) In that season, the number of home runs hit by Brady was twice the number hit by Charlie and Daryl combined.

=> b = 2(c + d)

Thus, the value of b/(b + c + d) = 2(c + d) / [2(c + d) + c + d] = 2(c + d) /3(c + d) = 2/3. Sufficient

The correct answer: B

Hope this helps!

-Jay
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