Sharon was palying darts. She threw six darts and all of them hit the target. Which of the following could be her score?

The target goes from 9 in the center, then 7, 5 , 3, and 1 on the outside ring.

Possible Scores: 4 17 56 28 29 31 50 8

Please give a quick explanation.

Without seeing where the darts hit, there is no way we can tell the score she got. You can, however, eliminate some of the "possible scores" because there is no way you can get certain totals in six throws, of yopu score on each throw.

4, 50 and 56 are not possible. The total has to be between 6 and 42, inclusive.

That leaves 8, 17, 28, 29, 31 as possibilities. Now you can also eliminate 17, 29 and 31 because the sum of four odd numbers must be even.

That leaves 8 and 28. See if you can think of a way to get either score.

1 + 1 + 1 + 1 + 1 + 3 = 8
7 + 7 + 7 + 5 + 1 + 1 = 28

9+9+9+9+9+5 = 50 which is a possible score.

To find the possible score, we need to determine the sum of the scores that Sharon could have achieved with her six darts.

Since all six darts hit the target, the sum of the possible scores should be even (since all targets have an odd score except for the center).

Looking at the given options:
- 4 is even
- 17 is odd
- 56 is even
- 28 is even
- 29 is odd
- 31 is odd
- 50 is even
- 8 is even

Out of these options, the possible scores that are even are 4, 56, 28, 50, and 8.

So, the possible scores for Sharon could be 4, 56, 28, 50, or 8.

To find out Sharon's possible score, we need to understand the scoring system of the darts game. The target has different scoring sections, with the highest score being 9 at the center. Moving outward, the scores decrease with each section: 7, 5, 3, and 1 on the outermost ring.

Since Sharon hit all six darts, the sum of her score must be an even number. This is because each hit will result in an odd number (9, 7, 5, 3, or 1), and the sum of odd numbers will always be even.

Looking at the list of possible scores you provided (4, 17, 56, 28, 29, 31, 50, 8), we can eliminate the ones that are odd (17, 29, and 31). This leaves us with four possible scores: 4, 56, 28, and 8.

So, the possible scores for Sharon could be: 4, 56, 28, or 8.