Question

Mikes fitness center charges $30 per month for a membership. All-Day fitness club charges $22 per month plus an $80 initiation fee for a membership. After how many months will the total amount paid to the two fitness clubs be the same?

Answer 1

The number of months after which amount paid to two fitness clubs be the same is 10

Explanation:

Given as :

The charge of Mikes fitness center = $30 per month fro membership

The charge of All-Day fitness center= $22 per month fro membership + $80

initiation charge

Let The number of months after which amount paid to each club be same = x

So, According to question :

30 x = 22 x + 80

Or, 30 x - 22 x = 80

Or, 8 x = 80

So x =
`(80)/(8)`

∴ x = 10

Hence The number of months after which amount paid to two fitness clubs be the same is 10 Answer