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: [tex]11:(11+12)=11:23[/tex].
We will use proportions to solve our given problem.
[tex]\frac{x}{460}=\frac{11}{23}[/tex]
[tex]\frac{x}{460}*460=\frac{11}{23}*460[/tex]
[tex]x=11*20[/tex]
[tex]x=220[/tex]
Therefore, there are 220 boys in the class.
