A 5000 seat theater has tickets for sale at $26 and $40. How many tickets should be sold at each price for a sell out performance to generated a total revenue of $155,200?

let x - number of $26 tickets

       y- number of $40 tickets

x + y = 5000

x = 5000 - y

26x + 40y = 155,200

26(5000 - y) + 40y = 155200

130,000 - 26y + 40y = 155200

14y = 25,200

y = 1800

x = 5000 - 1800 = 3200