ÐÓ°ÉÔ­´´

Enigma Number 1567

My round

A group of friends and I each had a half-pint of shandy (beer mixed with lemonade), but the proportion of lemonade to beer varied from glass to glass. Overall, I had a certain whole-number percentage of the lemonade used in the round of drinks, and a certain whole-number percentage of the beer. The percentage of beer was 5 more than that of the lemonade.

If I now told you the actual percentages it would be possible to work out how many of us there were in the group.

Knowing that, if instead I now told you how many of us there were, you could work out the percentages.

How many of us were there, and what percentage of the lemonade did I have?

WIN £15 will be awarded to the sender of the first correct answer opened on Wednesday 18 November. The Editor’s decision is final. Please send entries to Enigma 1567, New ÐÓ°ÉÔ­´´, Lacon House, 84 Theobald’s Road, London WC1X 8NS, or to enigma@newscientist.com (please include your postal address).

Answer to 1561 Some check!: The checksum is 1

The winner Erik Aronesty of Durham, North Carolina, US

More from New ÐÓ°ÉÔ­´´

Explore the latest news, articles and features