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      Question

      In a team, the ratio of male to female players is 4:1. The average score of male players is (x + 2), and the average score of the whole team is (x + 1). Find the average score of the female players.

      A x − 3 Correct Answer Incorrect Answer
      B x − 2 Correct Answer Incorrect Answer
      C x − 1 Correct Answer Incorrect Answer
      D x Correct Answer Incorrect Answer
      E x + 1 Correct Answer Incorrect Answer

      Solution

      Let male and female players be '4a' and 'a', respectively.
      Total score of the team = 5a × (x + 1) = 5ax + 5a
      Total score of male players = 4a × (x + 2) = 4ax + 8a
      So, total score of female players = (5ax + 5a) − (4ax + 8a) = ax − 3a
      Therefore, average score of female players = (ax − 3a) / a = (x − 3)

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