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5 August, 14:52

The ratio of the number of boys to the number of girls in the school is 11 : 13 there are 72 less boys in the school how many kids are in the whole school

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  1. 5 August, 14:56
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    Lets:

    x=number of boys.

    y=number of girls

    We can suggest this system of equations:

    x/y=11/13 ⇒x=11y / 13

    x=y-72

    We can solve this system by substitution method

    (11y/13) = y-72

    lower common multiple=13

    11y=13y-936

    11y-13y=-936

    -2y=-936

    y=-936/-2

    y=468

    x=11y/13=11 (468) / 13=396

    There are 396 boys and 468 girls in this school,

    number of kids=number of boys + number of girls.

    number of kids=396+468=864

    Answer: there are 864 kids in this school.
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