Question

The ratio of boys to girls in a sophomore class of 460 is 11:12. Find the number of boys.

Answer 1

11 : 12......sum of all is (11 + 12) = 23

boys : 11/23 (460) = 5060/23 = 220 <===
girls : 12/23 (460) = 5520/23 = 240

Answer 2

220 boys.

Explanation:

We have been given that the ratio of boys to girls in a sophomore class of 460 is 11:12. We are asked to find the number of boys.

The boys to girl ratio is 11:12, so the ratio of boys to total students would be:
`11:(11+12)=11:23`.

We will use proportions to solve our given problem.

`(x)/(460)=(11)/(23)`

`(x)/(460)*460=(11)/(23)*460`

`x=11*20`

`x=220`

Therefore, there are 220 boys in the class.