Answer: 40 adult tickets and 35 child tickets were sold.
Step-by-step explanation:
Let x represent the number of adult tickets that were sold.
Let y represent the number of child tickets that were sold.
April sold 75 tickets to a school play. It means that
x + y = 75
If the adult tickets cost $8 each and child tickets cost $5 each and and a total of $495 was collected from ticket sales, it means that
8x + 5y = 495- - -- - - - - - - - -1
Substituting x = 75 - y into equation 1, it becomes
8(75 - y) + 5y = 495
600 - 8y + 5y = 495
- 8y + 5y = 495 - 600
- 3y = - 105
y = - 105/-3
y = 35
x = 75 - y = 75 - 35
x = 40