The price of a movie ticket at the theater is $7 for students.

Question

The price is higher for adults.

A group of 4 students and 3 adults paid $64 in all for movie tickets.

How much does each adult ticket cost?

(1 point)
Each adult tickets costs $

Answer 1

Let's denote the price of an adult ticket as \( x \).

The total cost for the group of 4 students and 3 adults can be expressed as:

\[ 4 \times 7 + 3 \times x = 64 \]

Calculating the total cost for the students:

\[ 4 \times 7 = 28 \]

So the equation becomes:

\[ 28 + 3x = 64 \]

Now, subtract 28 from both sides:

\[ 3x = 64 - 28 \] \[ 3x = 36 \]

Now, divide both sides by 3 to find \( x \):

\[ x = \frac{36}{3} = 12 \]

Thus, each adult ticket costs $12.