What's your intended use for this system? Strictly gaming? Gaming/Streaming? Gaming/Streaming/Editing? At the same time? What resolution? Lot's of factors at play here.
You can get a pretty nice setup for $1,100 - Let's say a motherboard is $100, 16GB RAM probably $150, 2TB HDD for $75. PSU for $50, Case for $50.
Of the $1,100 budget, you're still left with $675.
With that $675 left, you could have an 8core/16thread, powerhouse of a CPU + a 6GB 1060.
PCPartPicker part list /
Price breakdown by merchant
CPU: AMD - Ryzen 7 1800X 3.6GHz 8-Core Processor ($398.99 @ Amazon)
Video Card: EVGA - GeForce GTX 1060 6GB 6GB SC GAMING Video Card ($254.99 @ Newegg)
Total: $653.98
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2017-10-10 13:48 EDT-0400
OR, a solid 6C.12T CPU and powerhouse GPU in a 1080
PCPartPicker part list /
Price breakdown by merchant
CPU: AMD - Ryzen 5 1600 3.2GHz 6-Core Processor ($194.88 @ OutletPC)
Video Card: Gigabyte - GeForce GTX 1080 8GB Turbo OC Video Card ($499.99 @ Amazon)
Total: $694.87
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2017-10-10 13:48 EDT-0400
Or, for more 'modest' tasks
PCPartPicker part list /
Price breakdown by merchant
CPU: Intel - Pentium G4560 3.5GHz Dual-Core Processor ($93.98 @ Amazon)
Video Card: MSI - GeForce GTX 1050 Ti 4GB Video Card ($154.95 @ Amazon)
Total: $248.93
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2017-10-10 13:49 EDT-0400
There's really no way of being able to answer your question without knowing what you want to do with the system in detail...