Question

Amelia and Joey decided to shoot arrows at a simple target with a large outer ring and a smaller bull's-eye. Amelia went first and landed 3 arrows in the outer ring and 3 arrows in the bull's-eye, for a total of 267 points. Joey went second and got 4 arrows in the outer ring and 3 arrows in the bull's-eye, earning a total of 281 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.

Answer 1

outer ring worth 14 pts

bull's-eye worth 74.333333 pts

Explanation:

let the worth point of landing an arrow on the outer ring be "x" and on bull's eye be "y"

For amelia

`3x + 3y = 267`

For joey

`4x + 3y = 281`

subtracting the first equation from the second

`x = 14`

`3x + 3y = 267`

`42 + 3y = 267`

`3y = 223`

`y = 74.333`