November 20, 2000
Problem of the Month

Hockey Problem

Hockey standings are based on points -- each WIN is 2 points, each LOSS is 0 points, and each TIE is 1 point.

In this local high school league, each team plays each other once, but they have not finished the season.

The following abbreviations are used:
GP = Games Played
W = Wins
L = Losses
T = Ties
GF = Goals For
GA = Goals Against
Pts = Points

Fill in the missing numbers in the Standings:

TEAM	GP	W	L	T	GF	GA	Pts
JUDGES	4				7	1	5
WARRIORS	2				2	6	0
WILDCATS	4				5		3
COLONELS	3		0			4	3
EAGLES					5	2

Solution to the Problem:

Use some logic like the total number of wins must equal the total number of losses, and the total number of ties must be an even number, and the total number of goals scored must be equal to the total number of goals against.

TEAM	GP	W	L	T	GF	GA	Pts
JUDGES	4	2	1	1	7	1	5
WARRIORS	2	0	2	0	2	6	0
WILDCATS	4	1	2	1	5	10	3
COLONELS	3	0	0	3	4	4	3
EAGLES	3	2	0	1	5	2	5

Correctly solved by:

1. David Powell	Winchester, VA
2. Kirstine Wynn	Winchester, VA

Send any comments or questions to: David Pleacher