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
