Problema Solution
The Forest Theater can seat a total of 360 people. They take in $15,150 when every seat is sold. If orchestra section tickets cost $45 and balcony tickets cost $35, find the number of seats in the orchestra section and the number of seats in the balcony
Answer provided by our tutors
Let
x = number of seats in the orchestra section
y = number of seats in the balcony section
Now we are told the following:
x + y = 360
45x+35y=15150
........
click here to see the system of equations solved for x and y
........
x = 255 seats in the orchestra section
y = 105 seats in the balcony section
The number of seats in the orchestra section is 255 seats and the number of seats in the balcony is 105 seats.