Data Sufficiency

BTGmoderatorDC wrote:Rasheed bought two kinds of candy bars, chocolate and toffee, that came in packages of 2 bars each. He handed out 2/3 of the chocolate bars and 3/5 of the toffee bars. How many packages of chocolate bars did Rasheed buy?

(1) Rasheed bought 1 fewer package of chocolate bars than toffee bars.

(2) Rasheed handed out the same number of each kind of candy bar.


OA C

Source: GMAT Prep

Say Rasheed bought C numbers of chocolate bars and T numbers of toffee bars.

We have to find out the value of C.

Let's take each statement one by one.

(1) Rasheed bought 1 fewer package of chocolate bars than toffee bars.

C = T - 1 ---(1)

Can't get the value of C. Insufficient.

(2) Rasheed handed out the same number of each kind of candy bar.

=> 2/3C = 3/5T

=> 10C = 9T ---(2)

Can't get the unique value of C. Insufficient.

(1) and (2) together

With the help of (1) and (2), we get C = 9. Sufficient.

The correct answer: C

Hope this helps!

-Jay
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