A desktop will always crush a laptop in the same price range. If desktop is an option, that's what I recommend.
Fill this out:
Budget:
More specific use (what games, what programs): League of Legends, maybe a first person shooter game such as call of duty, googe chrome internet browsing and open office for writing (this is literally it)
Planned time until purchase: two weeks
Do you need an Operating System?: whats this
Do you have any specific preferred components?: no! just to run league of legends well.
Do you need a sound or wireless card?: i am ignorant
Do you want stock cooling or do you plan on overclocking?: i am ignorant
Do you need a monitor? mouse? keyboard?: no sir!
Zip code/location? (Shipping costs): 93065 california
If you can get Windows 8.1 cheap / free (or Linux) from some source, that would greatly increase your build options in your price range.