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There are 36 children participating at a chess tournament. The tournament consist of 3 rounds (Preliminary, Semifinal, and Final). In each round, half of the participants are eliminated. After the Simifinal round, how many participants are left to compete in the Final round?

There are 3636 children participating at a chess tournament. The tournament consist of 33 rounds (Preliminary, Semifinal, and Final). In each round, half of the participants are eliminated. After the Simifinal round, how many participants are left to compete in the Final round?

Full solution

Q. There are 3636 children participating at a chess tournament. The tournament consist of 33 rounds (Preliminary, Semifinal, and Final). In each round, half of the participants are eliminated. After the Simifinal round, how many participants are left to compete in the Final round?
  1. Start of Tournament: Determine the number of participants at the start of the tournament. The tournament starts with 3636 children.
  2. After Preliminary Round: Calculate the number of participants after the Preliminary round.\newlineSince half of the participants are eliminated in each round, we divide the number of participants by 22.\newlineAfter the Preliminary round: 36/2=1836 / 2 = 18 participants remain.
  3. After Semifinal Round: Calculate the number of participants after the Semifinal round.\newlineAgain, we divide the remaining number of participants by 22 to find out how many will compete in the Final round.\newlineAfter the Semifinal round: 18/2=918 / 2 = 9 participants remain.

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