Gin and vermouth

Here is a puzzle from Schelling's book, Micromotives and Macrobehavior:

You have a glass of gin and a glass of vermouth. You lift a tablespoon of gin and pour it into the vermouth. You then take a tablespoon of the liquid in the second glass, vermouth with some gin in it, and transfer it to the first glass. Which is now the greater quantity, vermouth in the gin glass or gin in the vermouth glass?

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