Community gym charges a $50 membership fee and a $55 monthly fee. workout gym charges a $200 membership fee a $45 monthly fee. after how many months will the total amount of money paid to both gyms be the same? what will the amount be?

Community gym
=> membership fee = $50
=> monthly fee = $55
=> First month = 105$
=> 50 + 55(x)
=> 50 + 55 (15)
=> 50 + 825
=> 875

Workout gym
=> membership fee = $200
=> monthly fee = $45
=> First month = 245$
=> 200 + 45(x)
=> 200 + 45(15)
=> 200 + 675
=> 875

Thus, on the 15th month, community gym and workout gym will both get the same amount of $875.