Three adult and three child movie tickets were purchased for $75. The cost of each child’s ticket is three dollars less than the cost of an adult ticket. Find the price of each ticket.

Answer 1

Let's say the cost of an adult ticket is A dollars.
So the cost of a child's ticket is A - 3 dollars.
The cost of the 3 adult tickets is 3A dollars.
The cost of the 3 child tickets is 3(A - 3) = 3A - 9 dollars.
The total cost of the tickets is 3A + 3A - 9 = 6A - 9 dollars.
Since the total cost is $75, we have:
6A - 9 = 75
Adding 9 to both sides, we get:
6A = 84
Dividing both sides by 6, we have:
A = 14
So the cost of an adult ticket is $14, and the cost of a child's ticket is $14 - $3 = $11. Answer: \boxed{14, 11}.