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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2505
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GPA: 3.39
In the first M games of a team's season, the ratio of the team's wins
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03 Apr 2021, 00:54
03 Apr 2021, 00:54
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Question Stats:
63% (03:11) correct
36% (03:12) wrong based on 11 sessions
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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 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
A. 7:18
B. 9:23
C. 11:27
D. 23:54
E. 31:77
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Re: In the first M games of a team's season, the ratio of the team's wins
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03 Apr 2021, 20:30
03 Apr 2021, 20:30
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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
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
Re: In the first M games of a team's season, the ratio of the team's wins
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21 Sep 2022, 19:29
21 Sep 2022, 19:29
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