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 $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

Answer 1

Let's solve the problem step by step.

Let the price of an adult ticket be \( x \). Then the price of a child ticket would be \( x - 3 \) (since the child ticket is $3 less than the adult ticket).

The equation for the total cost of the tickets will be:

\[ 3x + 3(x - 3) = 75 \]

Now, simplify this equation:

\[ 3x + 3x - 9 = 75 \] \[ 6x - 9 = 75 \] \[ 6x = 75 + 9 \] \[ 6x = 84 \] \[ x = 14 \]

Thus, the price of an adult ticket is \( x = 14 \). Therefore, the price of a child ticket is:

\[ x - 3 = 14 - 3 = 11 \]

So, the prices are as follows:

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

Thus, the correct response is:

an adult ticket is $14 and a child ticket is $11.