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

$7
$7

$6
$6

$5
$5

Answer 1

Let's denote the price of an adult ticket as \( x \). According to the problem, a child ticket costs $2 less than an adult ticket, so the price of a child ticket would be \( x - 2 \).

Maggie and her five friends, all 12 years old, bought tickets, which means they purchased 6 child tickets.

The total cost can be expressed as: \[ \text{Total Cost} = \text{Number of Child Tickets} \times \text{Price of Child Ticket} \] Substituting the values, we get: \[ 30 = 6 \times (x - 2) \]

Now we can solve for \( x \): \[ 30 = 6(x - 2) \] Dividing both sides by 6: \[ 5 = x - 2 \] Adding 2 to both sides: \[ x = 7 \]

The price of an adult ticket is \( \boxed{7} \).