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MathNet 2012 Question 40

Math Olympiad Vault · MathNet 2012

Question 40

In a shop there are two classes of packages: $11$-kg and $12$-kg ones. The total weight of all the packages is $5940$ kg. It is known that there are packages of $12$ kg, but the amount of packages of each kind is unknown. Show that these packages can be divided in $11$ groups with the same weight.