Problema Solution
A 60006000-seat theater has tickets for sale at $2727 and $4040. How many tickets should be sold at each price for a sellout performance to generate a total revenue of $195 comma 800195,800?
Answer provided by our tutors
We will solve assuming the theater has 6000 seats, the tickets cost $27 and $40 and the total revenue is $195,800.
Let
x = the number of $27 tickets sold
y = the number of $40 tickets sold
x + y = 6000
27x + 40y = 195800
........
click here to see the system of equations solved for x and y
........
x = 3,400
y = 2,600
There were 3,400 $27 tickets and 2,600 $40 tickets sold.