Problema Solution
A 5000 seat theatre has tickets for sale at $25 and $40. How many tickets should be sold at each price for a sellout performace to generate a total revenue of $141,500?
Answer provided by our tutors
Let
x = the number of $25 tickets
y = the number of $40 tickets
x + y = 5000
25x + 40y = 141500
........
click here to see the system of equations solved for x and y
........
x = 3,900 $25 tickets
y = 1,100 $40 tickets
There should be 3,900 tickets of $25 and 1,100 tickets of $40 sold.