Final answer:
To find the final score of the game, we need to determine the number of points each team scored. Team A scores 80% of the points scored by Team B. Setting up and solving an equation, we find that Team A scored 28 points, and Team B scored 35 points.
Step-by-step explanation:
To find the final score of the game, we need to determine the number of points each team scored. Let x be the number of points scored by Team B. According to the problem, Team A scores 80% of the points scored by Team B. This can be expressed as 0.8x.
Since the total number of points scored by both teams is 63, we can set up the equation: x + 0.8x = 63. Simplifying this equation gives us 1.8x = 63. Dividing both sides by 1.8, we find that x = 35.
Therefore, Team A scored 0.8x = 0.8 * 35 = 28 points, and Team B scored x = 35 points.
The final score of the game is Team A: 28 points, Team B: 35 points.