SOLUTION: Fitness club CanFit charges a $150 initial fee to join the club and a $20 monthly fee. Fitness "R" us charges an initial fee of $100 and a $30/month

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Fitness club CanFit charges a $150 initial fee to join the club and a $20 monthly fee. Fitness "R" us charges an initial fee of $100 and a $30/month      Log On


   

Question 978514: Fitness club CanFit charges a $150 initial fee to join the club and a $20 monthly fee. Fitness "R" us charges an initial fee of $100 and a $30/month
Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
Hi there,
To find out the number of months
when both plans equal the same,
set up two equations and make them
equal one another.
CanFit 150 + 20n (n = no. of months)
Fitness 'R' 100 + 30n
=> 150 + 20n = 100 + 30n
Collect like terms
=> 20n - 30n = 100 - 150
=> -10n = - 50
n = -50/-10
n = 5
Therefore after 5 months both plans cost the same.
=>150 + 20n = 100 + 30n
=>150 +20(5) = 100 + 30(5)
=> 150 + 100 = 100 + 150
=> 250 = 250
Hope htis helps:-)