Ruth is scheduling a soccer tournament in which 64 teams will participate. After each round of soccer games, half the teams advance to the next round of the tournament. After all the rounds are played, how many total games are in the tournament?

Question

Is it 48?

Answer 1

The 1st round consist of 64 teams and
32 games. After each round, the number of teams and the number of games is re-
duced by a factor of 2:

Round Team Games.
1. 64 32.
2. 32 16.
3. 16 8.
4. 8 4.
5. 4 2.
6. 2 1.
Total = 61 Games.

Answer 2

32+16+8+4+2+1=63

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