Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.

Roger and Evelyn decided to shoot arrows at a simple target with a large outer ring and a smaller bull's-eye. Roger went first and landed 2 arrows in the outer ring and 5 arrows in the bull's-eye, for a total of 416 points. Evelyn went second and got 2 arrows in the outer ring and 1 arrow in the bull's-eye, earning a total of 112 points. How many points is each region of the target worth?

The outer ring is worth __ points, and the bull's-eye is worth __ points.