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MathNet 2019-part-08 — 179 problems (EN–VI) Question 136

Math Olympiad Vault · MathNet 2019-part-08 — 179 problems (EN–VI)

Question 136

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 $\frac{1}{6}$ of the total amount of water drunk and $\frac{1}{8}$ of the total amount of apple juice drunk. How many people are in Cambridge?