Question

Write a system of linear equations for the problem below(you do not have to solve it) Twenty-six students attended the community service event. The number of girls was 4 fewer than twice the number of boys. How many boys attended the community service event?

Answer 1

Number of boys who attended the community service event = 10

Explanation:

Let
`x` denotes number of girls and
`y` denotes number of boys.

Twenty-six students attended the community service event.

So,

`x+y=26`

The number of girls was 4 fewer than twice the number of boys.

`x=2y-4`

Put
`x=2y-4` in
`x+y=26`

`2y-4+y=26\\3y=26+4\\3y=30\\y=10`

So,

Number of boys who attended the community service event = 10