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16 May, 09:38

A classroom contains an equal number of boys and girls. If 1313 girls leave, twice as many boys as girls remain. What was the original number of students present?

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  1. 16 May, 12:58
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    5,252

    Step-by-step explanation:

    Let the number of boys present be b and the number of girls present be g

    Now we are told these numbers are equal. This means b = g

    Furthermore, if 1313 girls leave, the number of boys remaining would be twice the number of girls.

    Mathematically, this can be expressed as follows:

    b / (g-1313) = 2

    b = 2 (g-1313)

    b = 2g - 2626

    b + 2626 = 2g

    We know that b = g from the initial equation, substituting this here yields:

    g + 2626 = 2g

    g = 2626

    Since b = g, b = 2626 also

    Total number of students = 2626 + 2626 = 5,252
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