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    Question

    The total number of students in class A is 112, and the

    ratio of girls to boys is 7:9. If the average number of boys in classes A and B is 162, and the average number of girls in classes A and B is 114, find the total number of students in class B.
    A 440 Correct Answer Incorrect Answer
    B 428 Correct Answer Incorrect Answer
    C 452 Correct Answer Incorrect Answer
    D 432 Correct Answer Incorrect Answer
    E 464 Correct Answer Incorrect Answer

    Solution

    Number of girls in class A = (7/16) ├Ч 112 = 49
    Number of boys in class A = (9/16) ├Ч 112 = 63
    Number of boys in class B = 162 ├Ч 2 - 63 = 324 - 63 = 261
    Number of girls in class B = 114 ├Ч 2 - 49 = 228 - 49 = 179
    Total number of students in class B = 261 + 179 = 440

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