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 lease 3/4 of all its games?
A. 7
B. 6
C. 5
D. 4
E. 3
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Anurag@Gurome
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Given:neeti2711 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 lease 3/4 of all its games?
A. 7
B. 6
C. 5
D. 4
E. 3
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 = D
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Brent Hanneson - Creator of GMATPrepNow.com
