let

x = the number of tickets for sale at $24

y = the number of tickets for sale at $40

x + y = the total of tickets that is seats

x + y = 6000

x tickets by the price of 24 + y tickets by the price of 40 = total revenue of 182,400

24*x + 40*y = 182400

by solving the system of equations

x + y = 6000

24*x + 40*y = 182400

we find

x = 3600 tickets

y = 2400 tickets

3600 tickets at a price of 24 per ticket and 2400 tickets at a price of 40 per tickets should be sold to generate total revenue of 182,400.