Question

Tickets for a community theater cost $14 for each main floor seat and $9 for each balcony seat.There are 500 seats on the main floor,and these seats were sold out for the evening performance. The total revenue from ticket sales was $8260. How many balcony seats were sold ?

Answer 1

To find the number of balcony seats sold, the revenue from the main floor seats and balcony seats needs to be calculated. By forming and solving the equation, it can be determined that 140 balcony seats were sold.

Step-by-step explanation:

To find the number of balcony seats sold, we need to first determine the total revenue generated from balcony seats. Let's assume the number of balcony seats sold is 'x'.

The revenue from the main floor seats can be calculated by multiplying the price per main floor seat ($14) by the number of main floor seats (500).

The revenue from the balcony seats can be calculated by multiplying the price per balcony seat ($9) by the number of balcony seats sold (x).

Since the total revenue from ticket sales was $8260, we can form the equation: $14 * 500 + $9 * x = $8260.

Simplifying the equation gives: 7000 + 9x = 8260.

Subtracting 7000 from both sides gives: 9x = 1260.

Dividing both sides by 9 gives: x = 140.

Therefore, 140 balcony seats were sold.