Quiz Bowl
There are 50 quiz bowl teams competing at a tournament. If a team needs at least 8 wins to get to the finals and 10 rounds will be played before the finals, what is the maximum number of teams can get to the finals? (In a quiz bowl match 2 teams compete per match and one wins)(assume all teams play all 10 rounds)
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1 solution
There are 2 teams that play in a game and 10 rounds. This means that 50/2= 25 games are played per round. Since there will be 10 rounds and 25 games played per round, this means that there 250 victories in total before the finals. Since every team needs 8 wins, divide the number of victories by 8 and you get 31.25. To the nearest whole number it is 31, so 31 is the maximum number of teams to make it to the finals.