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During a football game, a total of 63 points are scored by the two teams. Team A scores 80% of the number of points that Team B scores. What is the final score of the game?

2 Answers

5 votes

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.

User Dmitry Negoda
by
5.5k points
9 votes

Answer:

28 : 35

Step-by-step explanation:

Total number of points = 63

Team A scores 80% of the number of points that Team B scores.

If team B scores x, that means Team A scores 0.8x

Team A scores + Team B scores = 63

Substitute the values;

0.8x + x = 63

1.8x = 63

x = 63 / 1.8 = 35

Team B = 35

Team A = 28

Final score of the game is;

Team A : Team B

28 : 35

User Dkateros
by
5.3k points