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

Answer:

Number of boys who attended the community service event = 10

Step-by-step 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