Answer:
[tex]222[/tex] boys
Step-by-step explanation:
Let [tex]x[/tex] = total number of ninth graders. By knowing how many students there are in the grade, we can find for the number of boys.
[tex]\frac{5}{6+5}x = 185[/tex] (number of girls in ninth grade)
[tex]\frac{5}{11}x = 185[/tex]
[tex]x=407[/tex]
To find for the number of boys, we can use substitution:
[tex]\frac{6}{6+5}x = \frac{6}{11}(407)[/tex]
[tex]=222[/tex]
∴ There are [tex]222[/tex] boys in the class.
Hope this helps :)