Below is an instruction that describes a task. Write a response that appropriately completes the request.

### Instruction:
What is the enrollment number for the public institution in Golden, Colorado founded after 1874?

### Inputs:
table_name: table, columns: ['Location', 'Control', 'Type', 'Enrollment', 'Founded']

### Response:
SELECT AVG Enrollment FROM table WHERE Control = public AND Location = golden, colorado AND Founded > 1874