You would be better off with the dual core Intel + 6770 than with the A8s.
The biggest reason to get the A8 is to just cut the video card out of the equation. By that I mean to not have to deal with video card related troubleshooting tasks.
If you are willing to suffer through troubleshooting video card related problems, its better to get the video card.
If you were building a computer for your grandparents or something, I would tell you to go for the A8, but young people tend to be more tolerant of technology related problems.