Question

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

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 the price of an adult ticket be \( x \).

The total cost for the tickets can be expressed as:

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

Calculating the total cost for the students:

\[
28 + 3x = 64
\]

Now, subtract 28 from both sides:

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

Next, divide both sides by 3 to solve for \( x \):

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

Therefore, each adult ticket costs \( \boxed{12} \).