a gym membership charges an initial fee for $40 plus a $17 free every month another gym charges $25 every month after how many months will the total cost for both gyms be the same
To determine after how many months the total cost for both gyms will be the same, let's denote the number of months by 'm'.
For the first gym, the total cost is calculated by adding the initial fee of $40 with the monthly fee of $17. So the total cost for the first gym after 'm' months is 40 + 17m.
For the second gym, the total cost is simply the monthly fee of $25 multiplied by 'm', as there is no initial fee. So the total cost for the second gym after 'm' months is 25m.
To find the number of months when the total cost for both gyms will be the same, we need to set up the equation: 40 + 17m = 25m.
Now, let's solve for 'm':
40 + 17m = 25m
40 = 25m - 17m
40 = 8m
m = 40/8
m = 5
Therefore, after 5 months, the total cost for both gyms will be the same.