Answer :
Answer:
see the explanation
Step-by-step explanation:
Let
x ----> the number of student tickets
y ---> the number of adult tickets
we know that
All seats for the performance tonight are filled (Is a 500-seat theater)
so
[tex]x+y=500[/tex] ----> equation A
Total ticket sales are $3400
so
[tex]5x+8y=3,400[/tex] -----> equation B
Solve the system by graphing
Remember that the solution is the intersection point both graphs
The solution is the point (200,300)
see the attached figure
therefore
The number of student tickets sold was 200 and the number of adult tickets sold was 300
