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Average of runs of 133 players of a team is 38. If the average of runs of the male players is 43 and the average of runs of the female players is 24, then what will be the ratio of the total runs of male players and the total runs of female players respectively?

Average of runs of 133 players of a team is 38. If the average of runs of the male players is 43 and the average of runs of the female players is 24, then what will be the ratio of the total runs of male players and the total runs of female players respectively? Correct Answer 301 : 60

Given:

Average of the runs of 133 players of a team is 38

Average of runs of the male players is 43 and the average of runs of the female players is 24.

Formula used:

Sum of the runs of the team (Total Runs) = Average × Number of players in the Team

Calculations:

Total Runs scored by the team = 38 × 133 = 5054

Let the number of male players be ‘M’ and number of female players be ‘F’

Number of runs scored by the male and female players together = 43M + 24F

⇒ 43M + 24F = 5054       ----(1)

⇒ M + F = 133     ----(2)

Substituting M = (133 - F) in Equation 1, we get

43 (133 - F) + 24F = 5054

⇒ 5719 - 43F + 24F = 5054

⇒ 43F - 24F = 5719 - 5054

⇒ 19F = 665

⇒ F = 665/19 = 35

M = 133 – 35 = 98

Ratio of the total runs of Male to Female players = (98 × 43)/(35 × 24) = 301/60

∴ Required Ratio = 301/60

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