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In a competition, points were awarded as follows:
- Three points for each game won
- One point for each game drawn
- No points for a game lost

\begin{tabular}{|c|c|c|c|}
\hline
Team & Games Won & Games Drawn & Games Lost \\
\hline
Team A & 2 & 3 & 4 \\
\hline
Team B & 2 & 4 & 3 \\
\hline
Team C & 5 & 2 & 5 \\
\hline
\end{tabular}


Sagot :

Of course! Let's take this step-by-step to calculate the points for each team based on the information given. Let's summarize the scoring system before we proceed:

- [tex]\(2\)[/tex] points for each game won.
- [tex]\(1\)[/tex] point for each game drawn.
- [tex]\(0\)[/tex] points for each game lost.

### Team 1:
- Games won: 2
- Games drawn: 3
- Games lost: 4

To calculate the points for Team 1:
- Points from wins: [tex]\(2 \times 2 = 4\)[/tex] points
- Points from draws: [tex]\(3 \times 1 = 3\)[/tex] points
- Points from losses: [tex]\(4 \times 0 = 0\)[/tex] points

Total points for Team 1: [tex]\(4 + 3 + 0 = 7\)[/tex] points

### Team 2:
- Games won: 2
- Games drawn: 3
- Games lost: 5

To calculate the points for Team 2:
- Points from wins: [tex]\(2 \times 2 = 4\)[/tex] points
- Points from draws: [tex]\(3 \times 1 = 3\)[/tex] points
- Points from losses: [tex]\(5 \times 0 = 0\)[/tex] points

Total points for Team 2: [tex]\(4 + 3 + 0 = 7\)[/tex] points

### Team 3:
- Games won: 5
- Games drawn: 2
- Games lost: 5

To calculate the points for Team 3:
- Points from wins: [tex]\(5 \times 2 = 10\)[/tex] points
- Points from draws: [tex]\(2 \times 1 = 2\)[/tex] points
- Points from losses: [tex]\(5 \times 0 = 0\)[/tex] points

Total points for Team 3: [tex]\(10 + 2 + 0 = 12\)[/tex] points

### Summary:
- Team 1: 7 points
- Team 2: 7 points
- Team 3: 12 points

So, the points for the teams based on their performance are:
- Team 1: 7 points
- Team 2: 7 points
- Team 3: 12 points
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