track and field points

[K_123_H]

three small colleges are in a track and field competition. each college has only one person representing them. jessica a student at kennedy college went to the competition to cheer on her boyfriend, the school's long jump champion,
jefferson college got 22 points
adams college got 9 points
kennedy college got 9 points
what was the point system?
kennedy college won the long jump competition
different number of points per place
there was a javelin throw
who won the javelin throw?

 

[stapel]

Lacking information regarding the number of events, etc, I see no way to make an definitive decisions regarding the scoring algorithm. Sorry.

Please reply with any omitted information, along with a clear listing of everything you have tried so far.

Thank you!

Eliz.

 

[K_123_H]

This is a logic problem so I wasn't given the number of events. My main question is who won the javelin throw and I have to show mathmatically how I got the answer. I think I figured out the point system to prove that Jefferson college won the javelin throw but have no idea how to turn it into a math problem.

1st place - 5 points
2nd place - 2 points
3rd place - 1 point

There would be 5 events (I think) meaning that the colleges placed this way:
Adams 4-2nd place:8points; 1-3rd place:1point = 9 points
Kennedy 1-1st place:5 points; 4-3rd place:4 points = 9points (Kennedy won the long jump)
Jefferson 4-1st place:20points; 1-2nd place=2points = 22 points

Hope this helps.

 

[tkhunny]

I think I figured out the point system

No, you didn't. You came up with a system that works. The actual point system remains unknown in the absence of additional information.

Quick Example - Only 3 Events - Javelin, Long Jump, Other

First: 79/9 points
Second: 40/9 points
Third: 1/9 points

Jefferson: 1st, 2nd, 1st -- Calculate: (79+40+79)/9 = 198/9 = 22
Adams: 2nd, 3rd, 2nd -- Calculate: (40+1+40)/9 = 81/9 = 9
Kennedy: 3rd, 1st, 3rd -- Calculate: (1+79+1)/9 = 81/9 = 9

The problem statement does NOT say the points are Whole Numbers. It doesn't even say they are positive!

What would be wrong with a punitive award for 3rd place?

This is not a solution, but the problem statement does NOT rule it out.
First: 10 points
Second: 3 points
Third: -2 points