Jeremy,
I think you will use about a third of a tube to purge the old grease out.....that is a guess. The clay based grease is a light tan color so you should see a color change or fresh grease emerge. The older grease, even if the same type will probably have darkened some.
It is important that the lube procedure be followed. It is on pages 52 and 53 (numbers on the pages) of the Meritor Brake manual that details the procedure. There is an adjustment to set the inboard pad against the rotor using the slack adjuster, a pressure relief valve is removed and you grease the caliper grease fitting, then the slack adjuster is used to move the caliper piston fully in the opposite direction to purge excess grease out of the pressure relief valve hole. Then you wipe the excess grease and put the pressure relief valve in and adjust the slack adjuster to spec. There are diagrams that point to the proper grease fitting etc.
Basically you are filling the chamber with grease and with movement of the piston travel using the slack adjuster, purging enough grease to allow for expansion, so that the piston is not forced into the rotor due to grease expansion. Whether you do it or have a shop do it, make sure they have that procedure. If you search on Meritor Brakes you should find the manual. I thing Monaco did a document with the same info. Hope this helps.
Later Ed