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

For the Community Gym:
Membership Charge = $50
Monthly fee = $55
So for the 1st month total charge = $(50 +55)
                                                       = $105
For each month the member pays $55
So after the 2nd month total payment = $(105 + 55)
                                                             = $160
After 3rd month total payment = $(160 + 55)
                                                 = $215
After 4th month total payment = $(215 + 55)
                                                 = $270
After 5th month total payment = $(270 + 55)
                                                 = $325
After 6th month total payment = $(325 + 55)
                                                 = $380
Now for the Workout Gym:
Membership Charge = $200
Monthly Charge = $45
So for the 1st month the member pays = $(200 + 45)
                                                                = $245
For the 2nd month total payment = $( 245 +45)
                                                      = $290
For the 3rd month total payment = $(290 + 45)
                                                     = $335
For the 4th month total payment = $(335 + 45)
                                                     = $ 380
So the 6th month payment in the Community Gym is the same as the 4th month payment in the Workout Gym. The amount will be $380.