Answer:
Number of Adult tickets = 3
Number of student tickets = 4
Step-by-step explanation:
Let the number of Adults tickets = x
The number of students tickets = y
A. Specifically define variables for this system
x + y = 7...... Equation 1
They paid $6.50 for each adult ticket and $3.50 for each child's ticket.
$6.50 × x + $3.50 × y = $33.50
6.50x + 3.50y = 33.50.......Equation 2
B. Write a system of equations that reflects the relationships described in this situation
x + y = 7...... Equation 1
x = 7 - y
6.50x + 3.50y = 33.50.......Equation 2
6.50(7 - y) + 3.50y = 33.50
45.5 - 6.5y + 3.5y = 33.5
45.5 - 33.5 = 6.5y -3.5y
12 = 3y
y = 12/3
y = 4 tickets
x + y = 7...... Equation 1
x + 4 = 7
x = 7- 4
x = 3 tickets
