Three adult and three child movie tickets were purchased for $75. The cost of each child ticket is $3 less than the cost of an adult ticket. Find the price of each ticket.(

Answer 1

Let's assume the cost of an adult ticket is x.
So the cost of a child ticket is x - $3.
The total cost of the three adult tickets is 3x.
The total cost of the three child tickets is 3(x - $3) = 3x - $9.
The total cost of all six tickets is 3x + 3x - $9 = $6x - $9.
Since the total cost of all six tickets is $75, we have:
$6x - $9 = $75.
Adding $9 to both sides of the equation, we get:
$6x = $84.
Dividing both sides of the equation by 6, we get:
x = $14.
Therefore, the cost of an adult ticket is $14.
And the cost of a child ticket is $14 - $3 = $11. Answer: \boxed{14, 11}.