How many boys play sports at this high school, if Charles High School has a total of 94 boys and girls who play sports and the number of boys is 22 more than twice the number of girls?

Mar 28, 2015

Replace "number of boys who play sports" with the variable $b$
and
"number of girls who plays sports" with the variable $g$.

We are told
$b = g + 22$
and
$b + g = 94$

Substituting $g + 22$ from the first equation for $b$ in the second equation, we get
$\left(g + 22\right) + g = 94$
$\rightarrow 2 g + 22 = 94$
$\rightarrow 2 g = 72$
$\rightarrow g = 36$

Substituting $g = 36$ in the first equation, we get
$b = 36 + 22$
$\rightarrow b = 58$

So $58$ boys play sports.