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 \( x \) dollars.

The total cost for the 4 student tickets is: \[ 4 \times 7 = 28 , \text{dollars} \]

The total cost for the 3 adult tickets is: \[ 3 \times x \]

According to the problem, the total cost for the tickets is $64. Therefore, we can set up the equation: \[ 28 + 3x = 64 \]

To solve for \( x \), first, subtract 28 from both sides: \[ 3x = 64 - 28 \] \[ 3x = 36 \]

Now, divide both sides by 3: \[ x = \frac{36}{3} = 12 \]

Thus, the cost of each adult ticket is \( \boxed{12} \).