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)

Question

Responses

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 $11 and a child ticket is $8
an adult ticket is $11 and a child ticket is $8

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......

Answer 1

Let the cost of an adult ticket be \( x \). Then, the cost of a child ticket would be \( x - 3 \).

The equation for the total cost of the tickets can be expressed as: \[ 3x + 3(x - 3) = 75 \]

Now, simplifying this equation: \[ 3x + 3x - 9 = 75 \] \[ 6x - 9 = 75 \] \[ 6x = 75 + 9 \] \[ 6x = 84 \] \[ x = 14 \]

So, the cost of an adult ticket (\( x \)) is \( 14 \) dollars.

The cost of a child ticket is: \[ x - 3 = 14 - 3 = 11 \text{ dollars} \]

Thus, the prices are:

• Adult ticket: $14
• Child ticket: $11

So the correct response is: an adult ticket is $14 and a child ticket is $11.