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 $14 and a child ticket is $11
an adult ticket is $11 and a child ticket is $8
an adult ticket is $12.50 and a child ticket is $9.50
an adult ticket is $8 and a child ticket is $5
Let's assume the cost of an adult ticket is x.
Then, the cost of a child ticket would be x - 3.
The cost of three adult tickets would be 3x, and the cost of three child tickets would be 3(x - 3).
We are given that the total cost of all the tickets is $75.
So, we can set up the following equation: 3x + 3(x - 3) = 75.
Simplifying the equation we get: 3x + 3x - 9 = 75.
Combining like terms, we have: 6x - 9 = 75.
Adding 9 to both sides: 6x = 84.
Dividing both sides by 6: x = 14.
Therefore, the cost of an adult ticket is $14.
Substituting this value in the equation we get: 3(14) + 3(14 - 3) = 75.
Simplifying, we have: 42 + 33 = 75.
Thus, the equation holds true and the cost of a child ticket is $11.
Therefore, the answer is: "an adult ticket is $14 and a child ticket is $11".