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 $12.50 and a child ticket is $9.50 an adult ticket is $12.50 and a child ticket is $9.50 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 $8 and a child ticket is $5
Let's assume the cost of an adult ticket is A dollars.
According to the given information, the cost of a child ticket is 3 dollars less than the cost of an adult ticket, so the cost of a child ticket is A - 3 dollars.
Since three adult and three child tickets were purchased for a total of 75 dollars, we can write the following equation:
3A + 3(A - 3) = 75
Simplifying the equation, we get:
3A + 3A - 9 = 75
Combining like terms, we get:
6A - 9 = 75
Adding 9 to both sides of the equation, we get:
6A = 84
Dividing both sides of the equation by 6, we get:
A = 14
So the cost of an adult ticket is 14 dollars.
Therefore, the cost of a child ticket is 14 - 3 = 11 dollars.
Hence, the price of each ticket is:
An adult ticket is $14 and a child ticket is $11.