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    Question

    Average marks scored by each boy in a class were 70,

    whereas that by each girl were 90. If the number of boys in the class is 50% more than the number of girls in the class, then find the average score of each student (boys + girls).
    A 78 Correct Answer Incorrect Answer
    B 80 Correct Answer Incorrect Answer
    C 85 Correct Answer Incorrect Answer
    D 79 Correct Answer Incorrect Answer
    E 82 Correct Answer Incorrect Answer

    Solution

    Let the number of girls be 2x.
    Thus, the number of boys = 3x. Total marks of boys = 3x × 70 = 210x
    Total marks of girls = 2x × 90 = 180x Total marks = 210x + 180x = 390x
    Total number of students = 2x + 3x = 5x Average = 390x ÷ 5x = 78

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