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    Question

    The average weight of 8 students in a class is 35 kg. If

    the weight of 4 teachers is also included, then the new average weight of each person (teacher + student) in the class becomes 40 kg. Find the average weight of the four teachers.
    A 20 kg Correct Answer Incorrect Answer
    B 18 kg Correct Answer Incorrect Answer
    C 50 kg Correct Answer Incorrect Answer
    D 25 kg Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Let the average weight of the four teachers be 'x' kg. So, total weight of the four teachers = 4 × x = '4x' kg. ATQ: 35 × 8 + '4x' = 40 × (8 + 4) Or, 280 + 4x = 40 × 12 Or, 280 + 4x = 480 Or, 4x = 480 - 280 = 200 Or, x = 200 ÷ 4 = 50 Therefore, the average weight of the four teachers is 50 kg.

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