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14 October, 15:36

3/5 of the class were boys. The teacher divided the boys equally into groups so the each group of boys had 1/10 of the number of students in the class. The teacher then divided the girls equally into groups such that each group of girls had 1/5 of the number of students in the class? How do I do this and what's the answer?

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  1. 14 October, 17:30
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    I think boys = 18

    girls=12

    boys : x

    girls:y

    student:z

    the number of group for the boys : n

    the numberof group for the girls : m

    so x = (3/5) * z

    y = (2/5) * z

    x/y=3/2

    3y-2x=0

    (1/10) * z*n = (3/5 ) * z

    so n=6

    (1/5) * z*m = (2/5) * z

    put x = (1/10) * z*6

    y = (1/5) * z*2

    into 3y-2x=0 and z=30

    z=30 so x = (1/10) * 30*6=18

    y = (1/5) * 30*2=12
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