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.