a 6,000 seat theater has tickets for sale at $26 and $40 . How many tickets must be sold at each price for a sell out performance to generate a revenue of $178400?

Answer 1

work with seats:
If there are n seats at $26, then there are 6000-n seats at $40, if the place is sold out.

work with the money -- add up how much money is made for each ticket price.

26n + 40(6000-n) = 178400
26n + 240000 - 40n = 178400
14n = 61600
n = 4400

So, there were 4400 $26 seats and 1600 $40 seats