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2022 IIMC keystage2-EMIC individual Question 11

xIMC · 2022 IIMC keystage2-EMIC individual

Question 11

Captain Crook and five members of his team are seated at a round table, sharing $99$ coins. If at least three members of the five team members have more coins than each of his two neighbors, then what is the maximum number of coins that Captain Crook can have?