HMMT 2018 U2
- Guts
- Answer
John has a 1 liter bottle of pure orange juice. He pours half of the contents of the bottle into a vat, fills the bottle with water, and mixes thoroughly. He then repeats this process 9 more times. Afterwards, he pours the remaining contents of the bottle into the vat. What fraction of the liquid in the vat is now water?
Dataset text NuminaMath olympiads. Quoted with source.
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\frac{5}{6}
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