Question

Five friends compete in a dart-throwing contest. Each one has two darts to throw at the same circular target, and each individual's score is the sum of the scores in the target regions that are hit. The scores for the target regions are the whole numbers 1 through 10. Each throw hits the target in a region with a different value. The scores are: Alice—16 points, Ben—4 points, Cindy—7 points, Dave—11 points, and Ellen 17—points. Who hit the region worth 6 points?

Answer 1

POSSIBLE SCORES

Alice 16

6,10

7,9

(8+8 won't work because that would be a repeating number)

Ben 4

1,3

(2+2 won't work because that would be a repeating number)

Cindy 7

1,6

2,5

3,4

Dave 11

1,10

2,9

3,8

4,7

5,6

Ellen 17

7,10

8,9

Since the only possibilities for Ben is hitting 1 and 3, all other people can't hit 1 or 3.

Alice 16

6,10

7,9

Cindy 7

2,5

Dave 11

2,9

4,7

5,6

Ellen 17

7,10

8,9

Since the only possibilities for Cindy is hitting 2 and 5, all other people can't hit 2 or 5.

Alice 16

6,10

7,9

Dave 11

4,7

Ellen 17

7,10

8,9

Since the only possibilities for Dave is hitting 4 and 7, all other people can't hit 4 or 7.

Alice 16

6,10

Ellen 17

8,9

Ellen must have hit 8 and 9. Alice must have hit 6 and 10.

Alice hit 6 points.

Answer 2

Alice

Explanation

Ben=1+3

Cindy=2+5

Dave=4+7

Alice=10+6

Ellen is 9+8

The answer is gonna be Alice because you can only use each number once.