# GMAT OFFICIAL GUIDE DS – Paula and Sandy were among…

## Solution:

We are given that Paula, Sandy, and others sold raffle tickets for company X. We are also given that Sandy and Paula sold a total of 100 tickets. We need to determine how many tickets were sold by Paula.

Statement One Alone:

Sandy sold 2/3 as many of the raffle tickets as Paula did.

If we let P = the number of tickets Paula sold and S = the number of tickets Sandy sold, we can create the following equations:

P + S = 100 and S = (2/3)P

We can plug (2/3)P for S in the first equation and have:

P + (2/3)P = 100

(5/3)P = 100

P = 100 x (3/5)

P = 60

Statement one is sufficient to answer the question. We can eliminate answer choices B, C, and E.

Statement Two Alone:

Sandy sold 8 percent of all the raffle tickets sold for Club X.

Because we don’t know the total number of tickets sold for Club X, we can’t determine the number of tickets Sandy sold and, as a result, we can’t determine the number of tickets Paula sold. Statement two is not sufficient to answer the question.