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.(1 point) Responses an adult ticket is $8 and a child ticket is $5 an adult ticket is $8 and a child ticket is $5 an adult ticket is $11 and a child ticket is $8 an adult ticket is $11 and a child ticket is $8 an adult ticket is $14 and a child ticket is $11 an adult ticket is $14 and a child ticket is $11 an adult ticket is $12.50 and a child ticket is $9.50
Let's assume the cost of an adult ticket is x dollars.
According to the given information, the cost of a child ticket is $3 less than the cost of an adult ticket, which means it is (x - $3) dollars.
We are also given that three adult and three child movie tickets were purchased for $75.
So, the total cost of three adult tickets would be 3 * x = 3x dollars.
The total cost of three child tickets would be 3 * (x - $3) = 3x - $9 dollars.
According to the problem, the total cost of all the tickets is $75.
Therefore, we can write the equation as:
3x + 3x - $9 = $75
Combining like terms, we get:
6x - $9 = $75
Adding $9 to both sides, we get:
6x = $84
Dividing both sides by 6, we get:
x = $14
So, the cost of an adult ticket is $14.
Since the cost of a child ticket is $3 less than the cost of an adult ticket, the cost of a child ticket would be $14 - $3 = $11.
Therefore, the price of each ticket is as follows:
An adult ticket is $14 and a child ticket is $11.