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MathNet 2015-part-05 — 191 problems (EN–VI) Question 90

Math Olympiad Vault · MathNet 2015-part-05 — 191 problems (EN–VI)

Question 90

In his bag, Salman has a number of stones. The weight of each stone is not greater than $0.5$ kg and the total weight of the stones is not greater than $2.5$ kg. Prove that Salman can divide his stones into $4$ groups, each group has a total weight not greater than $1$ kg.

Suggested by Trần Nam Dũng