Problema Solution
A
5000
5000-seat theater has tickets for sale at $
25
25 and $
40
40. How many tickets should be sold at each price for a sellout performance to generate a total revenue of $
146 comma 000
146,000?
Answer provided by our tutors
Let
x = the number of $25 tickets
y = the number of $40 tickets
Since the total number of seats is 5,000 we will assume that the total number of tickets sold is 5,000:
x + y = 5,000
25x + 40y = 146000
........
click here to see the step by step solution of the system of equations
........
x = 3,600 tickets that cost $25
y = 1,400 tickets that cost $40