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:

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

5x - 2x = 48

3x = 48

x = 16

the number of girls are 16 .

the number of boys are:

16 + 24 = 40

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus

whats the rest of it?