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# certain basketball team that has played 2/3 of its games

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Senior Manager
Joined: 14 Aug 2006
Posts: 365
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certain basketball team that has played 2/3 of its games [#permalink]  29 Oct 2006, 06:14
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0% (00:00) correct 0% (00:00) wrong based on 1 sessions
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

I think the OA is wrong..
Current Student
Joined: 29 Jan 2005
Posts: 5244
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[#permalink]  29 Oct 2006, 06:20
The team has to win over 22 games to keep a 3/4 winning record. So it can afford to lose 4 more games.

(D) <--- edited because I forgot to read "more games"

Last edited by GMATT73 on 29 Oct 2006, 06:25, edited 1 time in total.
Intern
Joined: 02 Oct 2006
Posts: 30
Location: Singapore
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[#permalink]  29 Oct 2006, 06:23
So far: 17 won, 3 losses. Total games played so far = 20 games.

20 games = 2/3 of total number of games.

:. (2/3)xTotal No. of Games = 20
-> Total No. of Games = 30

For a win rate of at least (3/4)x Total No. of Games

:. No. of Wins > (3/4)x30
-> No. of Wins > 22.5

-> Need to win at least 23 games in total.
-> lose a maximum of 7 games in total.

So far lost 3 already. Therefore can only afford to lose 4 more games MAX to meet 3/4 win rate requirement.
Senior Manager
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[#permalink]  29 Oct 2006, 16:35
I agree..The OA is C.. I think D (4) is the correct answer
Manager
Joined: 04 Oct 2006
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Re: PS - Football [#permalink]  29 Oct 2006, 19:49
gk3.14 wrote:
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

I think the OA is wrong..

No question that the OA should be D --> 23/30 = .766
Re: PS - Football   [#permalink] 29 Oct 2006, 19:49
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# certain basketball team that has played 2/3 of its games

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