SOLUTION: A theater has twice as many seats in the main area as in the balcony and it has 20 less seats on the floor than in the balcony. If there are 300 seats in the theater, how many seat

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: A theater has twice as many seats in the main area as in the balcony and it has 20 less seats on the floor than in the balcony. If there are 300 seats in the theater, how many seat      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 305719: A theater has twice as many seats in the main area as in the balcony and it has 20 less seats on the floor than in the balcony. If there are 300 seats in the theater, how many seats are in each area?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
A theater has twice as many seats in the main area as in the balcony and it has 20 less seats on the floor than in the balcony. If there are 300 seats in the theater, how many seats are in each area?
let the number of seats in the balcony be x
main area it has 2x
floor it has x-20
x+2x+x-20=300
4x-20=300
4x= 320
x= 80 balcony seats
main area = 2x =160 seats
floor area = x-20 = 80-20=60 seats