GeminiHeat wrote:
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 1:3. If M:N = 4:5, what was the ratio of the team's wins to its losses for all M+N games?
A. 7:18
B. 9:23
C. 11:27
D. 23:54
E. 31:77
\(\frac{M}{N} = \frac{4}{5} = \frac{48}{60}\)
Wins in \(M\) and \(N\) \(= \frac{1}{3}(48) + \frac{1}{4}(60) = 16 + 15 = 31\)
Losses in \(M\) and \(N\) \(= \frac{2}{3}(48) + \frac{3}{4}(60) = 32 + 45 = 77\)
\(\frac{W}{L} = \frac{31}{77}\)
Hence, option E