Question

tickets for a community theater cost $14 for each main floor seat and $7 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 $8330. how many balcony seats were sold?

Answer 1

190 balcony seats were sold

Explanation:

Total revenue = 14(M) + 7(B) where M = the number of main floor tickets sold and B = number of balcony tickets sold.

Total revenue = 8330, and 500 main floor tickets were sold. Let's substitute that into the problem.

8330 = 14(500) + 7B

8330 = 7000 + 7B

1330 = 7B

Now divide both sides by 7

190 = B

190 balcony seats were sold