Question

Question #14b78

Answer 1

`6`months and `$360`

Explanation:

Let the gym membership cost be same after `x` months.

Then for 1st gym Casey pays = `198+27x`

For the 2nd gym, Casey pays = `60x`

As after `x` months both gyms will have the same cost, therefore,

`198+27x` = `60x`

or, `198` = `60x-27x`

or, `198` = `33x`

or, `x` = `cancel198^6/cancel33^1` = `6` months

To find the cost, put the value of `x` in any of two equation at the very beginning of the answer.

So, `60xx6` = `$360`