Problema Solution
A 5000 seat theater has tickets for sale at $25 and $40. How many tickets should be sold at each price to generate a total revenue of $149,000?
Answer provided by our tutors
We will assume that all 5,000 seats are sold.
Let
x = the number of $25 tickets sold, x>0
y = the number of $40 tickets sold, x>0
A 5000 seat theater has tickets for sale at $25 and $40:
x + y = 5000
The tickets generate a total revenue of $149,000:
25x + 40y = 149000
By solving the system:
x + y = 5000
25x + 40y = 149000
........
........
x = 3,400 tickets of $25
y = 1,600 tickets of $40
There should be 3,400 tickets of $25 and 1,600 tickets of $40 sold.