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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 $36$ 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?

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GCF and LCM: word problems

Full solution

Q. 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?

Start of Tournament: Determine the number of participants at the start of the tournament. The tournament starts with $36$ children.
After Preliminary Round: Calculate the number of participants after the Preliminary round. $\newline$ Since half of the participants are eliminated in each round, we divide the number of participants by $2$ . $\newline$ After the Preliminary round: $36 / 2 = 18$ participants remain.
After Semifinal Round: Calculate the number of participants after the Semifinal round. $\newline$ Again, we divide the remaining number of participants by $2$ to find out how many will compete in the Final round. $\newline$ After the Semifinal round: $18 / 2 = 9$ participants remain.

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