The Bulls and the Lions are high school basketball teams. The table above shows the final scores of their playoff games. Based on the scores in the table, which statement is true?
Understand the Problem
The question asks which statement about the performance of two basketball teams, the Bulls and the Lions, is true based on the scores provided in the table. We need to calculate the total number of games won by each team to verify the percentages in the multiple-choice options.
Answer
D: The Lions won 60% of the games.
Answer for screen readers
The correct statement is D: The Lions won 60% of the games.
Steps to Solve
- Identify the Game Results We need to determine the winner of each game based on the scores of the Bulls and the Lions for each game.
- Game 1: Bulls 50, Lions 49 → Bulls won
- Game 2: Bulls 28, Lions 35 → Lions won
- Game 3: Bulls 63, Lions 64 → Lions won
- Game 4: Bulls 48, Lions 40 → Bulls won
- Game 5: Bulls 39, Lions 45 → Lions won
- Count the Wins Next, let's count how many games each team won.
- Bulls: 2 wins (in Game 1 and Game 4)
- Lions: 3 wins (in Game 2, Game 3, and Game 5)
- Calculate the Winning Percentages Now, we can calculate the winning percentage for each team. The formula for winning percentage is:
$$ \text{Winning Percentage} = \left( \frac{\text{Number of Wins}}{\text{Total Games}} \right) \times 100 $$
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For Bulls: $$ \text{Percentage} = \left( \frac{2}{5} \right) \times 100 = 40% $$
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For Lions: $$ \text{Percentage} = \left( \frac{3}{5} \right) \times 100 = 60% $$
- Evaluate Statements Now let's compare the percentages with the multiple-choice options:
- A. Bulls won 20% → False
- B. Bulls won 30% → False
- C. Lions won 40% → False
- D. Lions won 60% → True
The correct statement is D: The Lions won 60% of the games.
More Information
In total, there were 5 games played. The Bulls won 2 of them, and the Lions won 3, giving the Lions a winning percentage of 60%. This reflects their better performance overall in the playoff games.
Tips
- Miscounting the number of wins for each team can lead to incorrect percentages.
- Forgetting to multiply by 100 when calculating the winning percentage.
- Not comparing the calculated percentages directly with the given options.
AI-generated content may contain errors. Please verify critical information