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 $14 and a child ticket is $11 an adult ticket is $14 and a child ticket is $11 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 $12.50 and a child ticket is $9.50
Let's assume the cost of an adult ticket is x.
The cost of a child ticket would be x - 3.
There were 3 adult tickets, so the total cost of adult tickets would be 3x.
There were 3 child tickets, so the total cost of child tickets would be 3(x - 3).
The total cost of all tickets is $75, so we can write the equation:
3x + 3(x - 3) = 75
Expanding the equation:
3x + 3x - 9 = 75
Combining like terms:
6x - 9 = 75
Adding 9 to both sides:
6x = 84
Dividing both sides by 6:
x = 14
So, the cost of an adult ticket is $14, and the cost of a child ticket is $14 - 3 = $11.
Therefore, the correct answer is: an adult ticket is $14 and a child ticket is $11.