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BEBRAS 2017 Grade 5-6 Round 2 Ext Question 9

BEBRAS · BEBRAS 2017 Grade 5-6 Round 2 Ext

Question 9

Every Sunday Benno makes “Schoggimousse” for the family. He needs five eggs of equal weight. Of the six eggs on the table, five have equal weight and one is heavier; he wants to set the heavier one aside. His balance scale does not report weights, only which side is heavier, and he may put several eggs on each pan.

Question illustration

Benno has little time and wants as few weighings as possible. What is the smallest number of weighings that guarantees finding the heavier egg among the six?
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