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    Question

    In a school club, the ratio of juniors to seniors is

    3:2. The average score of all seniors is (x − 2) and the average score of all members is (x + 4). What is the average score of juniors?
    A x + 8 Correct Answer Incorrect Answer
    B x + 6 Correct Answer Incorrect Answer
    C x + 5 Correct Answer Incorrect Answer
    D x + 4 Correct Answer Incorrect Answer

    Solution

    Let number of juniors and seniors be '3a' and '2a', respectively.
    Total score of the club = 5a × (x + 4) = 5ax + 20a
    Total score of seniors = 2a × (x − 2) = 2ax − 4a
    So, total score of juniors = (5ax + 20a) − (2ax − 4a) = 3ax + 24a
    Therefore, average score of juniors = (3ax + 24a) / 3a = (x + 8)

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