Puzzle 70: Football five teams: new method
12 July 2017
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From New Scientist #1121, 21st September 1978 [link]
The new method of rewarding goals scored in football matches goes from strength to strength. In this method 10 points are given for a win, 5 points for a draw and 1 point for each goal scored. Once can get some idea of the success of the method from the fact that in the latest competition between 5 teams, when some of the matches had been played, each team had scored at least 1 goal in every match. They are eventually going to play each other once.
The points were as follows:
Not more than 9 goals were scored in any match.
What was the score in each match?