Question

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?

Answer 1

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
`(g+22)+g = 94`
`rarr 2g+ 22 = 94`
`rarr 2g = 72`
`rarr g = 36`

Substituting `g=36` in the first equation, we get
`b = 36+22`
`rarr b=58`

So `58` boys play sports.