Answer:
<em>It would take 28 months for Gym Strong to be a better buy.</em>
Step-by-step explanation:
There are two possible options for gyms to choose from:
Gym Strong charges $350 plus $15 a month
Gym Fit charges $100 plus $24 a month.
Since Gym Strong charges less per month but has a higher initial fee, there will be some time when it will be a cheaper option than Gym Fit.
Let's solve this by analyzing the differences in fixed fees and monthly fees.
The difference of fixed fees is $350 - $100 = $250
The difference on monthly fees is $24 - $15 = $9
Both gyms will charge the same total fees when have passed 250/9 = 27.7 months. Since the number of months is a whole number, we round up.
It would take 28 months for Gym Strong to be a better buy.
