I have this old Schwinn that the rear derailleur broke off.
I'm looking for a replacement and found these Shimano Tourney's online...
It has a three ring crankset so I already know it needs the RD-TX51 and not the TX31 (Unless I'm wrong)

http://www.amazon.com/Shimano-Tourne...9149783&sr=8-1

http://www.amazon.com/Shimano-RD-TX5...9149783&sr=8-4

But the problem is I don't understand this with/without the hanger business.
Your help would be appreciated. It's either i fix this bike or it's going to be destroyed