A 5000 -seat theater has tickets for sale at $28 and $40. How many tickets should be sold at each price for a sellout performance to generate a total revenue of $153 comma 200 ?

Let's denote:

x: number of ticket 28$

y: number of ticket 40$

Then, we have:

x + y = 5000

28x + 40y = 153200

=> 28 (5000 - y) + 40y = 153200

=> 12y = 153200 - 140000

=> 12y = 13200

=> y = 1100 (ticket 40$)

=> x = 5000 - 1100 = 3900 (ticket 28$)