Ignore the VRAM, choice one has a 5650 which is significantly faster than the 5470, and if you want to do any gaming on the system you need a strong GPU. If you are only going to be using it for basic tasks, nothing too graphically intensive then either one will work fine.
I was planning on using the computer for gaming/work, so I guess it's the first one. Thankfully that was my only problem, because I've been over thinking this lone issue for about 4 days, and when that happens I begin to get headaches, lol. Mind if I ask why the 5650 is faster, or is that question best left for another thread?