## Problem of the Day #215: Sharing Some Apples
*October 20, 2011*

*Posted by Saketh in : potd , trackback*

Sam recently bought some apples, $4$ for each of his friends. He is trying to divide them as evenly as possible. If none of his apples weighs more than $k$ times any other, determine the smallest value $r$ for which he can guarantee that no group weighs more than $r$ times any other. Express $r$ in terms of $k$.

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