In my opinion, you will need more money and it is a waste to buy a ~$200 system, just save up. Here is a really cheap build-
PCPartPicker part list:
http://pcpartpicker.com/p/uKl7
Price breakdown by merchant: http://pcpartpicker.com/p/uKl7/by_merchant/
Benchmarks: http://pcpartpicker.com/p/uKl7/benchmarks/
CPU: AMD FX-6100 3.3GHz 6-Core Processor ($99.99 @ NCIX US)
Motherboard: ASRock 960GM/U3S3 FX Micro ATX AM3+ Motherboard ($60.98 @ SuperBiiz)
Memory: A-Data 4GB (2 x 2GB) DDR3-1333 Memory ($29.99 @ Newegg)
Storage: Seagate Barracuda 500GB 3.5" 7200RPM Internal Hard Drive ($49.99 @ Amazon)
Video Card: Asus Radeon HD 7770 2GB Video Card ($157.86 @ Newegg)
Case: Cooler Master HAF 912 ATX Mid Tower Case ($49.99 @ NCIX US)
Power Supply: XFX 550W 80 PLUS Bronze Certified ATX12V / EPS12V Power Supply ($59.99 @ Newegg)
Optical Drive: Lite-On iHAS124-04 DVD/CD Writer ($22.98 @ Newegg)
Total: $531.77
(Prices include shipping, taxes, and discounts when available.)
(Generated by PCPartPicker 2012-12-28 23:09 EST-0500)
This will run any game on low-medium settings