Maths Olympiad Prep

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, 2011

Algebra Difficulty 1.0 Junior Prove it Canada

If 2x52\le x\le 5 and 10y2010\le y\le 20, what is the maximum value of 15yx15-\dfrac{y}{x}?

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Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.