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HMMT November 2019 T1

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Each person in Cambridge drinks a (possibly different) 12 ounce mixture of water and apple juice, where each drink has a positive amount of both liquids. Marc McGovern, the mayor of Cambridge, drinks 16\frac{1}{6} of the total amount of water drunk and 18\frac{1}{8} of the total amount of apple juice drunk. How many people are in Cambridge?

Dataset text NuminaMath olympiads. Quoted with source.

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