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10 December, 05:32

The ratio of boys to girls in a group is 7:1. If there are 42 more boys than girls, work out how many girls there are.

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  1. 10 December, 05:53
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    7 girls

    Step-by-step explanation:

    The ratio of boys : girls = 7 : 1 = 7x : x (x is a multiplier)

    There are 42 more boys than girls, thus

    7x = x + 42 (subtract x from both sides)

    6x = 42 (divide both sides by 6)

    x = 7

    Hence

    there are 7 girls

    and 7x = 7 * 7 = 49 boys
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