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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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