BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

Games

Expert replies
by gmatblood » Mon Oct 31, 2011 9:58 am
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

Why not A and B?
Join the discussion
Source: — Problem Solving |

by shankar.ashwin » Mon Oct 31, 2011 10:08 am
A and B would not satisfy the condition of winning 70% of its total matches.

For A; 80 wins out of first 100 and then 40 out of the remaining 80. Total 120/180 - 66%
For B; 80 wins out of first 100 and then 35 out of the remaining 70. Total 115/170 - 67%

Only D works
Join the discussion

by rijul007 » Mon Oct 31, 2011 10:23 am
80 + x = 70% of (100 + 2x)
80 + x = 70 + 7x/5
2x/5 = 10
x = 5*10/2 = 25

Total no of games = 100 + 2*25 = 150

Option D
Join the discussion

by gmatblood » Mon Oct 31, 2011 10:36 am
shankar.ashwin wrote:A and B would not satisfy the condition of winning 70% of its total matches.

For A; 80 wins out of first 100 and then 40 out of the remaining 80. Total 120/180 - 66%
For B; 80 wins out of first 100 and then 35 out of the remaining 70. Total 115/170 - 67%

Only D works
Oh Yes!! thanks :)
Join the discussion