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    Question

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    The number of students in class IX and class X is 56 and

    60, respectively. The ratio of the number of boys to girls in classes IX and X is 9: 5 and 8: 7, respectively. What is the difference between the total number of boys and the total number of girls in both the classes taken together?
    A 25 Correct Answer Incorrect Answer
    B 20 Correct Answer Incorrect Answer
    C 28 Correct Answer Incorrect Answer
    D 22 Correct Answer Incorrect Answer

    Solution

    Number of boys in class IX = 56 × (9/14) = 36 Number of girls in class IX = 56 × (5/14) = 20 Again, Number of boys in class X = 60 × (8/15) = 32 Number of girls in class X = 60 × (7/15) = 28 Total of boys in two classes = 36 + 32 = 68 Total of girls in two classes = 20 + 28 = 48 Difference = 68 - 48 = 20

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