Sherri is considering joining a health club. To be a member of Roman’s Gym, she would have to pay a sign-up fee of $49.99 and then $25 per month. Another club, Athens Fitness Center, charges less per month (only $18) but has a $126.99 sign-up fee. If m is the number of months and p is the total amount paid, after how many months of membership would the total paid to each club be the same? What is that amount?