During a certain season, a team won 80% of its first 100 games and 50% of its remaining games. If the team won 70% of its games for the entire season, What was the total number of games the team played?
Solution
Correct Answer: Option D
Total number of games = x of games won in first 100 = .8 * 100 number of games won in remaining games = .5 * (x-100) number of games won in entire season = .7x
Now, .7x = .8 * 100 + .5 * (x-100) Or, .7x - .5x = 80 - 50 Or, .2x = 30 Or, x = 300/20 = 150
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