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Home - LPAD Visions In Educatio Inbox (46) - 555449 Mathspace HM hatline Horne Home-Google Drive IIM Sanveer Singh Integrated Math 1 B (IS895) \#90179 | Checkpoint 2 Due Tomonow 6. A basketball tournament starts with 64 teams each year. After each round of play, half the teams are eliminated. How many teams are left after four rounds? eight teams two teams four teams one team

Ask by Murray Edwards. in the United States
Feb 28,2025

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After four rounds, there are four teams left.

Solution

To solve the problem, notice that each round of play halves the number of remaining teams. Starting with 64 teams: • After Round 1: 64 ÷ 2 = 32 teams • After Round 2: 32 ÷ 2 = 16 teams • After Round 3: 16 ÷ 2 = 8 teams • After Round 4: 8 ÷ 2 = 4 teams Therefore, after four rounds, there are four teams left.

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The Deep Dive

To find out how many teams are left after four rounds, you can think of it as a process of halving the number of teams each round. Starting with 64 teams, after the first round, you’ll have 32 teams (64 ÷ 2). The second round leaves you with 16 (32 ÷ 2), the third round gives you 8 (16 ÷ 2), and after the fourth round, you're left with 4 teams (8 ÷ 2). So, the answer is four teams! To visualize this tournament structure, think of it like a ladder or bracket system where only the winners move on. Each round is like a mini battle, and only the strongest teams rise through the ranks. It's not only a fun way to understand elimination in tournaments but can also spark interest in how other competitions work, whether in sports or other fields!

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