Both of those two builds can still do both gaming and video editing, but are aimed more towards one of the two.
If he aims more towards video editing :
PCPartPicker part list:
http://pcpartpicker.com/p/3f5X5
Price breakdown by merchant: http://pcpartpicker.com/p/3f5X5/by_merchant/
Benchmarks: http://pcpartpicker.com/p/3f5X5/benchmarks/
CPU: AMD FX-8350 4.0GHz 8-Core Processor ($179.99 @ Amazon)
CPU Cooler: Cooler Master Hyper 212 EVO 82.9 CFM Sleeve Bearing CPU Cooler ($29.99 @ NCIX US)
Motherboard: MSI 760GMA-P34(FX) Micro ATX AM3+ Motherboard ($57.99 @ Amazon)
Memory: Crucial Ballistix Sport 16GB (2 x 8GB) DDR3-1600 Memory ($134.99 @ Amazon)
Storage: Western Digital Caviar Blue 1TB 3.5" 7200RPM Internal Hard Drive ($57.98 @ OutletPC)
Video Card: Sapphire Radeon R7 260X 2GB Video Card ($99.99 @ Newegg)
Power Supply: Corsair Builder 430W 80+ Bronze Certified ATX Power Supply ($19.99 @ Micro Center)
Optical Drive: Samsung SH-224DB/BEBE DVD/CD Writer ($15.98 @ OutletPC)
Total: $596.90
(Prices include shipping, taxes, and discounts when available.)
(Generated by PCPartPicker 2014-03-23 16:17 EDT-0400)
If he aims more towards gaming :
PCPartPicker part list:
http://pcpartpicker.com/p/3f66p
Price breakdown by merchant: http://pcpartpicker.com/p/3f66p/by_merchant/
Benchmarks: http://pcpartpicker.com/p/3f66p/benchmarks/
CPU: AMD FX-6300 3.5GHz 6-Core Processor ($109.99 @ Amazon)
Motherboard: MSI 760GMA-P34(FX) Micro ATX AM3+ Motherboard ($57.99 @ Amazon)
Memory: G.Skill Ares Series 8GB (2 x 4GB) DDR3-1600 Memory ($64.99 @ Newegg)
Storage: Western Digital Caviar Blue 1TB 3.5" 7200RPM Internal Hard Drive ($57.98 @ OutletPC)
Video Card: MSI GeForce GTX 760 2GB Video Card ($239.99 @ Newegg)
Power Supply: XFX 550W 80+ Bronze Certified ATX Power Supply ($44.99 @ NCIX US)
Optical Drive: Samsung SH-224DB/BEBE DVD/CD Writer ($15.98 @ OutletPC)
Total: $591.91
(Prices include shipping, taxes, and discounts when available.)
(Generated by PCPartPicker 2014-03-23 16:21 EDT-0400)