Question

A gym membership at one gym costs $10 every month plus a onetime membership fee of $15, and a gym membership at another gym cost $4every month plus a onetime $40 membership fee. After about how many months will the gym memberships cost the same amount

Answer 1

Let us assume that the number of months after which
the gym memberships will cost the same = x
Then
15 + 10x = 40 + 4x
10x - 4x = 40 - 15
6x = 25
x = 25/6
= 4 1/6
So the membership fee of both the gyms will become same after 4 1/6 months. You can also consider that as after 5 months the membership fees of both the gyms will become same. I hope the procedure is not very complicated for you to understand.