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.
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