Problema Solution

a 5000 seat theater has tickets for sale at $28 and $40. How many tickets can be sold at each price for a sellout performance to generate a total revenue of 159,200

Answer provided by our tutors

Let

x = the number of $28 tickets

y = the number of $40 tickets

x + y = 5000

28x + 40y = 159200

........

click here to see the system of equations solved for x and y

........

x = 3,400 $28 tickets

y = 1,600 $40 tickets

There should be 3,400 tickets of $28 and 1,600 tickets of $40 sold.