SOLUTION: John is planning to join a gym. Gym A charges a $100 sign-up fee to join plus $30 per month. Gym B has a smaller sign-up fee of $25 but charges $35 per month. when will the two

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: John is planning to join a gym. Gym A charges a $100 sign-up fee to join plus $30 per month. Gym B has a smaller sign-up fee of $25 but charges $35 per month. when will the two       Log On


   

Question 1191543: John is planning to join a gym. Gym A charges a $100 sign-up fee to join plus $30 per month. Gym B has a smaller sign-up fee of $25 but charges $35 per month.
when will the two gyms charge the same amount?
Answer by ikleyn(52817) About Me  (Show Source):
You can put this solution on YOUR website!
.
John is planning to join a gym. Gym A charges a $100 sign-up fee to join plus $30 per month.
Gym B has a smaller sign-up fee of $25 but charges $35 per month.
when will the two gyms charge the same amount?
~~~~~~~~~~~~~~~~~ 

    100 + 30m = 25 + 35m,


where m is the number of months.


From this equation

    100 - 25 = 35m - 30m

       75    =    5m

        m    =    75/5 = 15.


ANSWER.   The charges sare the same after 15 months.

Solved.