Final answer:
By setting up the equations based on the information given and solving for x, we find that Team B has 4 points and Team A has 16 points.
Step-by-step explanation:
The problem given states that Team A has 12 more points than Team B and that Team A has 4 times the amount of Team B. To find the scores of both teams, we set up the following equations:
- Let the score of Team B be x.
- Then the score of Team A will be 4x.
- According to the problem, we also know that Team A has 12 more points than Team B, so 4x = x + 12.
To solve for x, we rearrange the equation: 3x = 12. Then, we divide both sides by 3 to get x = 4. So, Team B has 4 points and Team A, having 4 times the score of Team B, has 16 points.