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    Question

    The average weight of 9 students in a seminar is 42 kg.

    If the weight of 4 facilitators is also included, then the new average weight of each person (facilitator + student) in the seminar becomes 48 kg. Find the average weight of the four facilitators.
    A 20.5 kg Correct Answer Incorrect Answer
    B 80.5 kg Correct Answer Incorrect Answer
    C 50.5 kg Correct Answer Incorrect Answer
    D 70.2 kg Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Let the average weight of the four facilitators be 'x' kg. So, total weight of the four facilitators = 4 × x = '4x' kg. ATQ: 42 × 9 + '4x' = 48 × (9 + 4) Or, 378 + 4x = 48 × 13 Or, 378 + 4x = 624 Or, 4x = 624 - 378 = 246 Or, x = 246 ÷ 4 = 61.5 Therefore, the average weight of the four facilitators is 61.5 kg.

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