Answer:
85 student tickets and 35 adult tickets were sold.
Step-by-step explanation:
Howdy!
We know that student tickets cost $12, adult ticket cost $20 and 120 tickets were sold.
So:
$12×A + $20×B = $1,720. Where A and B are the number of student tickets and adult tickets sold, respectively.
Given that 120 tickets were sold in total, we have that:
A + B = 120
So the system of equations to be solved is the following:
$12×A + $20×B = $1,720 (1)
A + B = 120 (2)
Solving for 'A' in equation (2) we get:
A = 120 - B
Substituting this value into equation (1) we get:
$12×(120 - B) + $20×B = $1,720
Solving for 'B' we have:
$12×(120 - B) + $20×B = $1,720
$1,440 - $12×B + $20×B = $1,720
$1,440 + $8×B = $1,720
$8×B = $1,720 - $1,440
$8×B = $280
B = 35 tickets.
Given that B = 35, then A = 120 - 35 = 85 tickets.
So 85 student tickets and 35 adult tickets were sold.
