Question

The ratio of boys to girls in a group is 7:2. If there are 65 more boys than girls, work out how many boys there are

Answer 1

Step-by-step explanation:

Given, boys : girls = 7:2

Also, there are 65 more boys than girls.

Let us assume girls be x.

Then boys = 65+x

By the ratio,

$\frac{x + 65}{x} = \frac{7}{2} \\ 2x + 130 = 7x \\ 5x = 130 \\ x = 26$

Girls are 26.

So, boys are 65 + 26 = 91.

There are 91 boys and 26 girls.

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