Problem 10

Five Collision Course Shooters

There are only five members of the collision course basketball team. Chris Coach's notes were accidentally destroyed after the last game of the season, and she did not know how many points each person had scored. But the MCPSS TV crew had done an interview and some of the player quotes seemed relevant. The final score of the game was 95-94.

Kellene: "Everybody's totals were odd"

Sara: Donna was the fourth highest with 17 points, I scored 12 more points than Kellene

Martina: Kellene and I scored a total of 30 points, but I outscored her.

Donna: Our highest score had 25 points.

Heather: The last digit in everybody's score was different

Determine from the player's observations how many points each person scored.