Wine/water Mixing Problem

In the wine/water mixing problem, one starts with two barrels, one holding wine and the other an equal volume of water. A cup of wine is taken from the wine barrel and added to the water. A cup of the wine/water mixture is then returned to the wine barrel, so that the volumes in the barrels are again equal. The question is then posed—which of the two mixtures is purer?

The problem can be solved without resorting to computation. It is not necessary to state the volumes of wine and water, as long as they are equal. The volume of the cup is irrelevant, as is any stirring of the mixtures. Also, any number of transfers can be made, as long as the volume of liquid in each barrel is the same at the end.

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Famous quotes containing the words wine, water, mixing and/or problem:

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    Ernest Hemingway (1899–1961)

    Here is no water but only rock
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    Which are mountains of rock without water
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    Amongst the rock one cannot stop or think
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    It was not till the middle of the second dance, when, from some pauses in the movement wherein they all seemed to look up, I fancied I could distinguish an elevation of spirit different from that which is the cause or the effect of simple jollity.—In a word, I thought I beheld Religion mixing in the dance.
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    Lawrence Kutner (20th century)