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
_________________
Test confidently with gmatprepnow.com