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MathNet 2014 Question 91

Math Olympiad Vault · MathNet 2014

Question 91

Find the least positive real number $\alpha$ with the following property: if the weight of a finite number of pumpkins is 1 ton and the weight of every pumpkin is not more than $\alpha$ tons then the pumpkins can be distributed in 50 boxes (some of the boxes may remain empty) such that there are no more than $\alpha$ tons of pumpkins in every box.