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8 November, 16:42

The number of boys varies directly as the number of girls and inversely as the number of teachers when there are 24 boys and 16 girls there are 2 teachers how many girls are there when there are 73 boys and 1 teacher?

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  1. 8 November, 16:51
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    Let the number of boys be b, the number of girls be g and that of teachers be t,

    thus:

    b=kg/t

    where k is the constant of proportionality

    k=bt/g

    b=24, when g=16 and t=2

    k = (24*2) / 16

    k=3

    hence:

    b = (3g) / 2

    thus the number of girls when:

    b=73 and t=1 will be:

    73 = (3*g) / 1

    73=3g

    g=73/3

    g=24.333~ 24 girls
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