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NZ-NZMO 2021 Problem 1

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A school offers three subjects: Mathematics, Art and Science. At least 80%80\% of students study both Mathematics and Art. At least 80%80\% of students study both Mathematics and Science. Prove that at least 80%80\% of students who study both Art and Science, also study Mathematics.

Dataset text NuminaMath olympiads. Quoted with source.

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\frac{2021}{\sqrt{2}}

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