Question

The Forrest 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, write
a system of linear equations to best represent c, the number of orchestra section
tickets and b, the number of balcony tickets sold when there is a sellout.

Answer 1

105 balcony tickets

Explanation:

c = orchestra seats, b = balcony seats

c + b = 360

45c + 35b = 15150

You can solve by substitution or elimination.

c = 255

b = 105