Question

16 teams, each with the same number of people, enter a quiz. At the semifinal stage, there are 12 people left in the competition.

How many people entered the quiz

Answer 1

Answer:

48

Step-by-step explanation:

Semi-finals implies there are FOUR teams left...12 people implies THREE people per team

48 people (3 * 16) entered the competition

Answer 2

Answer:

The correct answer is 48 people.

Step-by-step explanation:

If there are 12 people left in the semifinal stage, it means that 4 people have been eliminated in the semifinals.

In the semifinals, there are 2 matches and each match has 2 teams. So, a total of 4 teams must have reached the semifinals.

Before the semifinals, there must have been 8 matches in the quarterfinals. Since each match has 2 teams, there were a total of 16 teams in the quarterfinals.

Since there were 16 teams, and each team had the same number of people, let's assume that each team had 'x' number of people initially.

So, the total number of people who entered the quiz would be:

Total number of people = 16 teams * x people per team = 16x

Now, we know that 4 people were eliminated in the semifinals and each team had the same number of people. Therefore, the number of people who reached the semifinals would be:

4 teams * x people per team = 4x

4x = 12

x = 12/4

x = 3

So the total number of people entered the quiz will be 16*3 = 48.

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