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. Explain how you know but make the explanation short and simple
The total cost for both gyms will be the same when the sum of the initial fee and the accumulated monthly fees for the first gym equals the accumulated monthly fees for the second gym.
Let's set up an equation to represent this:
40 + 17x = 25x
where x represents the number of months.
Simplifying the equation:
40 = 8x
Dividing both sides by 8:
x = 5
Therefore, after 5 months, the total cost for both gyms will be the same.