Question #14b78

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Answer 1 · 2018-01-18T00:07:12

$6$ $6$ months and $$ 360$ $$360$

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

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

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

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

$198 + 27 x$ $198+27x$ = $60 x$ $60x$

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

or, $198$ $198$ = $33 x$ $33x$

or, $x$ $x$ = $cancel198^6/cancel33^1$ = $6$ 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$