In the first M games of a team's season, the ratio of the team's wins to its losses was 1:2. In the subsequent N games, the ratio of the team´s wins to losses was 1:4. If M:N = 4:5, what was the ratio of the team's wins to its losses for all M+N games? Choices
A) 7:20 B) 9:23 C) 11:27 D) 23:54 E) 31:77
M = 4/9 of total games   N = 5/9 of total games   Wins = 1/3*4/9 + 1/5*5/9 = 4/27 + 3/27 = 7/27   Losses = 1 - 7/27 = 20/27   The ratio of wins to losses is 7:20.   The answer is 7:20.
<result>A</result>
In the first M games of a team's season, the ratio of the team's wins to its losses was 1:2. In the subsequent N games, the ratio of the team´s wins to losses was 1:4. If M:N = 4:5, what was the ratio of the team's wins to its losses for all M+N games?