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Australian AMC 2011 - Intermediate Question 18

AMC AUSTRALIA · Australian AMC 2011 - Intermediate

Question 18

Three people play a game with a total of 24 counters where the result is always that one person loses and two people win. The loser must then double the number of counters that each of the other players has at that time.

At the end of three games, each player has lost one game and each person has 8 counters. At the beginning, Holly had more counters than either of the others. How many did she have at the start?
  1. 9
  2. 11
  3. 13
  4. 16
  5. 24