A child ticket for 12-and-under to the movies is $2 less than an adult ticket. Maggie and five of her friends, all 12 years old, went to the movies. The total cost for all the tickets was $30. Based on this information, what is the price of an adult ticket?(1 point)

Question

Responses

$5
$5

$7
$7

$8
$8

$6

Answer 1

Let's denote the price of an adult ticket as \( x \). According to the problem, the price of a child ticket (for 12-and-under) is \( x - 2 \).

Maggie and her five friends (6 children total) went to the movies, and they all purchased child tickets. Therefore, the total cost for all the child tickets can be expressed as:

\[ 6(x - 2) \]

The total cost for the tickets was $30, so we can set up the equation:

\[ 6(x - 2) = 30 \]

Now, we can solve for \( x \):

1. Distribute the 6 on the left side of the equation:

\[ 6x - 12 = 30 \]

2. Add 12 to both sides:

\[ 6x = 42 \]

3. Divide by 6:

\[ x = 7 \]

So, the price of an adult ticket is $7.

Response: $7