Sarah and Joe are seeking to join a gym. Sarah saw on television that Great Gym is offering membership at $19.50 per month, plus a one-time registration
fee of $59. Joe plans to join Workout World because Workout World only charges $9.50 per month, plus a one-time registration fee of $149.
Both gym memberships will eventually have a month in which the cost to attend either gym would be the same. How long would this membership be and how much would it cost? Show your work.