What is the best laptop for me?

[AshleyDen]

I'm looking to buy a laptop for $500-$600. I'm a student and a gamer (although I can't afford a gaming laptop unfortunately). So I'm looking for a laptop that can atleast run a game like League of Legends relatively well.
I've found pretty good laptops for the price I'm looking to spend, but their graphics cards don't appear to be any good, so I'm hoping that maybe someone on here can help me find a good deal! Thanks : )

 

[AshleyDen]

I could possibly go up to $700 but that's the max.

 

[EzioAs]

How about this one here? http/www.newegg.com/Product/Product.aspx?Item=N82E16834314016

I've never played LoL, but it doesn't seem like a demanding title based on a quick google search.