Problema Solution
a 6000 seat theater has tickets on sale at $25 and $40. how many tickets should be sold at each price for a sellout performance to generate a total revenue of $192,000
Answer provided by our tutors
let
x = the number of $25 tickets
y = the number of $40 tickets
since there are 6000 seats in the theater and performance is sold out
x + y = 6000
total revenue of $192,000
25x + 40y = 192000 divide both sides by 5
5x + 8y = 38400
by solving the system of equations
x + y = 6000
5x + 8y = 38400
we find
x = 3200 tickets
y = 2800 tickets
there are 3200 tickets sold at a price of $25 and 2800 tickets sold at a price of $40.