Question

A total of 720 ppl attended the school basketball game. Adult tickets cost $2.50 each and student ticket costs $1.50 each. If $1220 worth of tickets were sold, how many students and how many adults attended?

Answer 1

x=number of adults.
y=number of students.
We can suggest the following system of equations:
x+y=720
2.5x+1.5y=1220

We can solve this system of equations by substitution method.
x+y=720 ⇒ y=720-x

2.5x+1.5(720-x)=1220
2.5x+1080-1.5x=1220
x=1220-1080
x=140

we solve the other unknown;
y=720-x
y=720-140
y=580

Answer: there was 140 adults and 580 students.