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H. E. Dudeney, Amusements in Mathematics (1917) No. 363 · Puzzles · Measuring & pouring

The Doctor's Query

"A curious little point occurred to me in my dispensary this morning," said a doctor. "I had a bottle containing ten ounces of spirits of wine, and another bottle containing ten ounces of water. I poured a quarter of an ounce of spirits into the water and shook them up together. The mixture was then clearly forty to one. Then I poured back a quarter-ounce of the mixture, so that the two bottles should again each contain the same quantity of fluid. What proportion of spirits to water did the spirits of wine bottle then contain?"

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H. E. Dudeney, Amusements in Mathematics (1917) · No. 363

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