At 1 company, a box with 10 reams of paper cost $56. Add another company a box with 8 rings of paper cost, $36. What is the unit price for each ring?

The unit price for each ream of paper is $56/10 = $<<56/10=5.60>>5.60.

The unit price for each ring of paper from the second company is $36/8 = $<<36/8=4.50>>4.50. Answer: \boxed{4.50}.