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During a certain season, a team won 80 percent of its first

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During a certain season, a team won 80 percent of its first [#permalink] New post 20 Dec 2012, 07:20
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86% (02:41) correct 14% (01:38) wrong based on 185 sessions
During a certain season, a team won 80 percent of its first 100 games and 50 percent of its remaining games. If the team won 70 percent of its games for the entire season, what was the total number of games that the team played?

(A) 180
(B) 170
(C) 156
(D) 150
(E) 105
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Re: During a certain season, a team won 80 percent of its first [#permalink] New post 20 Dec 2012, 07:21
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Walkabout wrote:
During a certain season, a team won 80 percent of its first 100 games and 50 percent of its remaining games. If the team won 70 percent of its games for the entire season, what was the total number of games that the team played?

(A) 180
(B) 170
(C) 156
(D) 150
(E) 105


This is simple weighted average question.

Let the # of the remaining games be x then 0.8*100+0.5*x=0.7*(100+x) --> x=50 --> total # of games thus equal to 100+x=100+50=150.

Answer: D.
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Re: During a certain season, a team won 80 percent of its first [#permalink] New post 29 Jul 2014, 16:53
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Re: During a certain season, a team won 80 percent of its first [#permalink] New post 31 Jul 2014, 19:53
First...................... Remain ................. Total
100 ........................ x ............................ 100+x

Won
80 ............................. \frac{50x}{100} ...................... \frac{70}{100} * (100+x)

Equation would be

80 + \frac{50x}{100} = 70 + \frac{70x}{100}

x = 50

Total games = 100 + 50 = 150

Answer = D
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Re: During a certain season, a team won 80 percent of its first   [#permalink] 31 Jul 2014, 19:53
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