Question

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 ​$153,200​?

Answer 1

There are 3,900 tickets of $28 each and 1,100 tickets of $40 each sold.

Explanation:

x = the number of $28 tickets

y = the number of $40 tickets

x + y = 5000

28x + 40y = 153200

x = 3,900 tickets

y = 1,100 tickets