<PRE><B>Question 118758</B>
3 teams; one representative to each event; 1st, 2nd and 3rd place points
___ so each team is awarded points from each event


40 total points (22+9+9) ___ different values for each place (1st,2nd,3rd)
___ lowest possible total from each event is 6 (3+2+1), but 6 is NOT a factor of 40
___ point totals from each event must be 8 or 10 ___ 20 is too big
___ so there were either 4 or 5 events


possible point values
5 events ___ 1-2-5, 1-3-4
4 events ___ 1-2-7, 1-3-6, 1-4-5, 2-3-5


Kennedy took at least 1 first place, but tied with Adams for the lowest score with 9
___ this eliminates ALL the 4 event possibilities


Jefferson won with 22 ___ this eliminates 1-3-4 (4*5=20)
___ they won the javelin (and everything else, except the long jump)


J __ 5-5-5-5-2
K __ 5-1-1-1-1
A __ 2-2-2-2-1</PRE>