Question

At a school football game, an adult ticket costs $4 and a student ticket costs $1. A total of 250 people attend the game, earning the school $427. How many students attended the game?

Answer 1

a=number of adult tickets
s=number of student tickets


a+s=250
4a+1s=427

elimination

multiply firs equation by -1 and add to 2nd

-a-s=-250
4a+s=427 +
3a+0s=177

3a=177
divide oth sides by 3
a=59

sub back

a+s=250
59+s=250
minus 59 both sides
s=191


191 students

Answer 2

191 students attended. X+y=250, 4x+y= 427. X=59, y= 191. Hope this helps.