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    Question

    The number of students in class 'A' is 144, and the ratio

    of the number of girls to boys in class 'A' is 5:7. If the average number of boys in classes 'A' and 'B' is 174, and the average number of girls in classes 'A' and 'B' is 126, find the total number of students in class 'B'.
    A 456 Correct Answer Incorrect Answer
    B 462 Correct Answer Incorrect Answer
    C 440 Correct Answer Incorrect Answer
    D 432 Correct Answer Incorrect Answer
    E 472 Correct Answer Incorrect Answer

    Solution

    Number of girls in class A = (5/12) ├Ч 144 = 60
    Number of boys in class A = (7/12) ├Ч 144 = 84
    Number of boys in class B = 174 ├Ч 2 - 84 = 348 - 84 = 264
    Number of girls in class B = 126 ├Ч 2 - 60 = 252 - 60 = 192
    Total number of students in class B = 264 + 192 = 456

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