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# During a certain season, a team won 80% of its first 100

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During a certain season, a team won 80% of its first 100 [#permalink]  08 Jul 2007, 17:23
During a certain season, a team won 80% of its first 100 games and 50 percent of its remaining games. If the team won 70% 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
Director
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Re: Parts of Numbers - Q3 [#permalink]  08 Jul 2007, 19:35
Let team had x total games. So team won .7x games
Also team won 80% of first 100 which 80 and 50% of x-100 games which is (x-100)/2
so 80 + (x-100)/2 = .7x which gives z as 150..
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Re: Parts of Numbers - Q3 [#permalink]  08 Jul 2007, 19:41
700dreamer wrote:
During a certain season, a team won 80% of its first 100 games and 50 percent of its remaining games. If the team won 70% 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

D.
remaining game = x
total = 100 + x

80% (100) + 50% (x) = 70% (100 + x)
x = 50
so total = 150
Re: Parts of Numbers - Q3   [#permalink] 08 Jul 2007, 19:41
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# During a certain season, a team won 80% of its first 100

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