In the first M games of a team's season, the ratio of the team's wins to its losses was 3:1. In the subsequent N games, the ratio of the team´s wins to losses was 2:3. If M:N = 4:5, what was the ratio of the team's wins to its losses for all M+N games? Answers
A) 7:8 B) 9:2 C) 1:2 D) 5:4 E) 3:2
M = 4/9 of total games   N = 5/9 of total games   Wins = 3/4*4/9 + 2/5*5/9 = 3/9 + 2/9 = 5/9   Losses = 1 - 5/9 = 4/9   The ratio of wins to losses is 5:4.   The answer is 5:4.
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In the first M games of a team's season, the ratio of the team's wins to its losses was 3:1. In the subsequent N games, the ratio of the team´s wins to losses was 2:3. If M:N = 4:5, what was the ratio of the team's wins to its losses for all M+N games?