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A pint mug A is filled with milk. A fraction k of a pint is put into a different, previously empty pint mug B. Mug B is then filled with water and the contents are mixed, and then mug A is topped off with the solution from mug B. This is done in such a way as to minimize the amount of milk in mug A. How much milk is in mug A?

 
 Nov 6, 2016

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