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UKMT Maclaurin Olympiad, 2022

Algebra Difficulty 3.0 AMC 10/12 Prove it United Kingdom

A fruit has a water content by weight of m%m\%. When left to dry in the sun, it loses (m−5)%(m-5)\% of this water, leaving it with a water content by weight of 50%50\%. What is the value of mm?

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