The ratio of boys to girls in a group is 5:2. If there are 24 more boys than girls, work out how many boys there are.

40 boys

Step-by-step explanation:

Calculating the number of girls?

we can make use of the ratio and the number of boys.

give the girls a variable - --x

use cross multiplication:

5 : 2

24 + x : x

the 24 + x means there are 24 more boys than girls

5x = 2 (24 + x)

5x = 48 + 2x

make x the subject of formula

5x - 2x = 48

3x = 48

x = 16

the number of girls are 16.

the number of boys are:

16 + 24 = 40

there are 40 boys