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

Answer:

220 boys.

Step-by-step 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.

$\frac{x}{460}=\frac{11}{23}$

$\frac{x}{460}*460=\frac{11}{23}*460$

$x=11*20$

$x=220$

Therefore, there are 220 boys in the class.