Question
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 $14 and a child ticket is $11 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 $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
Answers
GPT-4o mini
Let the cost of an adult ticket be \( x \) dollars. Then, the cost of a child ticket will be \( x - 3 \) dollars.
According to the problem, the total cost of three adult tickets and three child tickets is $75.
The equation representing the total cost can be set up as follows:
\[
3x + 3(x - 3) = 75
\]
Simplifying the equation:
\[
3x + 3x - 9 = 75
\]
\[
6x - 9 = 75
\]
\[
6x = 84
\]
\[
x = 14
\]
Thus, the cost of an adult ticket is \( x = 14 \) dollars. The cost of a child ticket would then be:
\[
x - 3 = 14 - 3 = 11 \text{ dollars}.
\]
So, the prices of the tickets are:
- Adult ticket: $14
- Child ticket: $11
The correct response is: **an adult ticket is $14 and a child ticket is $11**.
According to the problem, the total cost of three adult tickets and three child tickets is $75.
The equation representing the total cost can be set up as follows:
\[
3x + 3(x - 3) = 75
\]
Simplifying the equation:
\[
3x + 3x - 9 = 75
\]
\[
6x - 9 = 75
\]
\[
6x = 84
\]
\[
x = 14
\]
Thus, the cost of an adult ticket is \( x = 14 \) dollars. The cost of a child ticket would then be:
\[
x - 3 = 14 - 3 = 11 \text{ dollars}.
\]
So, the prices of the tickets are:
- Adult ticket: $14
- Child ticket: $11
The correct response is: **an adult ticket is $14 and a child ticket is $11**.