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    Question

    Average marks scored by each boy in a class were 75,

    whereas that by each girl were 85. If the number of boys is 50% more than the number of girls, then find the average score of each student.
    A 91 Correct Answer Incorrect Answer
    B 85 Correct Answer Incorrect Answer
    C 82 Correct Answer Incorrect Answer
    D 79 Correct Answer Incorrect Answer
    E 74 Correct Answer Incorrect Answer

    Solution

    Let the number of girls = 2x.
    Thus, the number of boys = 3x. Total marks of boys = 3x ├Ч 75 = 225x
    Total marks of girls = 2x ├Ч 85 = 170x Total marks = 225x + 170x = 395x
    Total students = 2x + 3x = 5x Average = 395x ├╖ 5x = 79

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