Jan scored 17 points with four darts.what numbers
did she hit?
what were the possible scores on the dart board?
To determine the numbers Jan hit, we can consider the different combinations of scores that can be achieved with four darts adding up to 17 points. Here are the possible combinations:
1) If Jan hit four different numbers in four darts, the maximum sum would be 1 + 2 + 3 + 4 = 10. Therefore, it is not possible for Jan to hit four different numbers to score a total of 17 points.
2) If Jan hit three different numbers in four darts, the maximum sum would be 1 + 2 + 3 = 6. In this case, it is not possible for Jan to reach a total of 17 points either.
3) If Jan hit two different numbers in four darts, the maximum sum would be 1 + 1 = 2 (as each number can only be hit once). It is also not possible for Jan to score 17 points with two different numbers.
4) If Jan hit one single number in all four darts, the maximum sum would be 4 x 1 = 4. Therefore, it is impossible for Jan to get a total of 17 points by hitting only one number.
Based on these observations, it appears that there is no combination of numbers that Jan could have hit with four darts to score a total of 17 points.