Enigma 322: More and better goals
4 December 2015
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From New Scientist #1470, 22nd August 1985 [link]
The new method of rewarding goals scored in football matches is a great success. And some people say that the goals have increased not only in quantity but also in quality.
In this method 10 points are awarded for a win, 5 points for a draw and 1 point for each goal scored.
In a recent competition between 4 teams (A, B, C and D), A got 5 points, B got 35 points, C got 20 points, and D got 4 points, after some — or perhaps all — of the matches were played.
Not more than 10 goals were scored in any match and that number was only scored in one. Each side scored at least 1 goal in every game.
What was the score in each match?
It’s now 4 years since I started the Enigmatic Code site, and we have 916 Enigma puzzles on the site, which is just over half the total number of Enigma puzzles published in New Scientist between 1979 and 2013. There is a complete archive from the very first Enigma puzzle in January 1979 up to August 1985, and from June 2002 to the final Enigma puzzle in December 2013.
I aim to keep adding puzzles as long as I am able to source them. I currently need to get puzzles from #545 (January 1990) to #1154 (October 2001), along with #1166 (22nd? December 2001), #1176 (2nd March 2002), #1181 (6th April 2002) and #1186 (11th May 2002), (altogether around 600 puzzles), so I shall have to try and get to a reference library to get access to back issues of the magazine.
Thank you to everyone who has joined in by sharing their own solutions and insights.