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The ratio of boys to girls in the ninth grade is 6:5. If there are 185 girls in the class, how many boys are there?

Respuesta :

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 :)

222 boys in the class hope this helped
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