sgoll wrote:

A certain basketball team that has played 2/3 of its games has a record of 17 wins and 3 losses. What is the greatest number of the remaining games that the team can lose and still win at least 3/4 of all of its games?

(A) 7

(B) 6

(C) 5

(D) 4

(E) 3

Given:

The team has played 2/3 of its games. The team has played 20 games.

If 2/3 of the total number of games = 20, then the total number of games =

30.

This means that there are 10 games remaining.

We want the team to win at least 3/4 of its games.

3/4 of

30 = 22.5

So, in order to win at least 3/4 of the games, the team must win a total of 23 games or more.

The team has already won 17 games, so it needs to win at least 6 of the remaining 10 games.

Or we can say that the team can

lose 4 games

at most.

Answer:

Cheers,

Brent

_________________

Brent Hanneson – Founder of gmatprepnow.com