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    Question

    The average weight of 28 students in a class is 40 kg

    while the average weight of 5 teachers who teach them is 58 kg. 10 students and 1 teacher go for a trip, and the average weight of the remaining students and teachers is 42 kg and 60 kg respectively. What is the average weight of the group that went on the trip?
    A 25.44 kg Correct Answer Incorrect Answer
    B 66.22 kg Correct Answer Incorrect Answer
    C 37.64 kg Correct Answer Incorrect Answer
    D 29.22 kg Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    10 students and 1 teacher went for the trip which means 18 students and 4 teachers did not go to the trip.

    Total weight of 10 students who went for the trip = 40 × 28 – 42 × 18 = 1120 – 756 = 364 kg

    Total weight of 1 teacher who went for the trip = 58 × 5 – 60 × 4 = 290 – 240 = 50 kg

    Total weight of all the people who went for the trip = 364 + 50 = 414 kg

    Required average = 414 / 11 = 37.64 kg

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