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 $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 an adult ticket is $8 and a child ticket is $5 an adult ticket is $12.50 and a child ticket is $9.50
Let's assume the cost of an adult ticket is x.
According to the given information, the cost of a child ticket is 3 less than the cost of an adult ticket, so the cost of a child ticket is (x - 3).
The total cost of three adult tickets is 3x.
The total cost of three child tickets is 3(x - 3) = 3x - 9.
The sum of the total cost of the adult tickets and the total cost of the child tickets is $75:
3x + 3x - 9 = 75
6x - 9 = 75
6x = 84
x = 84/6
x = 14
Therefore, the price of each adult ticket is $14 and the price of each child ticket is $14 - 3 = $11.
So the correct answer is "an adult ticket is $14 and a child ticket is $11".