Hextech Questions go here, right?

Do we only get 1 Augment chest without paying with RP? I saved IP to spam them...

EDIT: Also, do we only get the 5 augment cores from the 750 rp and the one Augment chests? Or can we get those out of normal chests too?

I've spent plenty on the game and have hit the point in my life where I can't really do that for a while... (Starting college)