Problem: The Honest Dairyman

An honest dairyman in preparing his milk for public consumption employed a can marked $B,$ containing milk, and a can marked A, containing water. From can $A$ he poured enough to double the contents of can $B.$ Then he poured from can $B$ into can $A$ enough to double its contents. Then he finally poured from can $A$ into can $B$ until their contents were exactly equal.

After these operations, he would send the can $A$ to London, and the puzzle is to discover what are the relative proportions of milk and water that he provides for the Londoners' breakfast-tables. Do they get equal proportions of milk and water — or two parts of milk and one of water — or what? It is an interesting question, though, curiously enough, we are not told how much milk or water he puts into the cans at the start of his operations.

Solutions: 1


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References

Project Gutenberg

  1. Dudeney, H. E.: "Amusements in Mathematics", The Authors' Club, 1917

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