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    The ratio of number of boys and girls in a school of 3528 students is 5:4. How many more girls should be admitted in the school to make this ratio 1:1
    Question

    The ratio of number of boys and girls in a school of 3528 students is 5:4. How many more girls should be admitted in the school to make this ratio 1:1?

    A.

    312

    B.

    392

    C.

    472

    D.

    552

    Correct option is B

    Given:

    Total students = 3528

    Ratio of boys : girls = 5 : 4

    Find how many more girls should be admitted to make the ratio 1 : 1.

    Solution:

    Total parts = 5 + 4 = 9

    Value of one part = 35289=392\frac{3528}{9}=392​​

    Number of boys =5 × 392 = 1960

    Number of girls = 4 × 392 = 1568

    To make the ratio 1:1, number of girls must equal number of boys:

    Required girls = 1960

    Additional girls needed = 1960-1568 = 392

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