A movie theater sold 125 tickets for a a movie. A children’s ticket costs $6 and an adult ticket costs $12. If the theater sold $1,170 worth of tickets, how many adult tickets were sold?(1 point)

Question

adult tickets

Answer 1

Let \( x \) be the number of adult tickets sold and \( y \) be the number of children's tickets sold. We have the following two equations based on the problem:

1. The total number of tickets sold: \[ x + y = 125 \]

2. The total revenue generated from the ticket sales: \[ 12x + 6y = 1170 \]

Now, we can solve these equations simultaneously.

From the first equation, we can express \( y \) in terms of \( x \): \[ y = 125 - x \]

Next, we substitute this expression for \( y \) into the second equation: \[ 12x + 6(125 - x) = 1170 \]

Expanding the equation: \[ 12x + 750 - 6x = 1170 \]

Combining like terms: \[ 6x + 750 = 1170 \]

Subtracting 750 from both sides gives: \[ 6x = 420 \]

Dividing both sides by 6: \[ x = 70 \]

Now that we have \( x \), we can find \( y \): \[ y = 125 - x = 125 - 70 = 55 \]

Thus, the number of adult tickets sold is \( \boxed{70} \).