Question

A child ticket for 12 and under to the movies. Is $2 less than an adult ticket? Maggie and 5 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? A. eight dollars b. six dollars c. seven dollars d. five dollars

Answer 1

Let's denote the price of an adult ticket as \( A \) and the price of a child ticket as \( C \). According to the problem, we know the following:

1. The child ticket is $2 less than the adult ticket: \[ C = A - 2 \]

2. Maggie and her 5 friends (a total of 6 children) bought tickets, making the total number of tickets 6: \[ \text{Total Tickets} = 6 \]

3. The total cost for all the tickets was $30. This can be expressed as: \[ 6C + 1A = 30 \] (where \(1A\) accounts for one adult ticket)

Now, we can substitute the value of \( C \) from the first equation into the second equation.

Substituting \( C \): \[ 6(A - 2) + A = 30 \]

Expanding the equation gives: \[ 6A - 12 + A = 30 \]

Combining like terms: \[ 7A - 12 = 30 \]

Adding 12 to both sides: \[ 7A = 42 \]

Dividing by 7: \[ A = 6 \]

Thus, the price of an adult ticket is \( \boxed{6} \).