If 25% of a population likes apples, 15% likes oranges, and 5% likes both, what percentage likes either apples or oranges?
Practice Questions
1 question
Q1
If 25% of a population likes apples, 15% likes oranges, and 5% likes both, what percentage likes either apples or oranges?
35%
30%
25%
20%
Using inclusion-exclusion, the percentage is 25% + 15% - 5% = 35%.
Questions & Step-by-step Solutions
1 item
Q
Q: If 25% of a population likes apples, 15% likes oranges, and 5% likes both, what percentage likes either apples or oranges?
Solution: Using inclusion-exclusion, the percentage is 25% + 15% - 5% = 35%.
Steps: 7
Step 1: Identify the percentage of people who like apples, which is 25%.
Step 2: Identify the percentage of people who like oranges, which is 15%.
Step 3: Identify the percentage of people who like both apples and oranges, which is 5%.
Step 4: To find the percentage of people who like either apples or oranges, use the formula: (percentage who like apples) + (percentage who like oranges) - (percentage who like both).
Step 5: Plug in the numbers: 25% + 15% - 5%.
Step 6: Calculate the result: 25 + 15 = 40, then 40 - 5 = 35.
Step 7: The final answer is that 35% of the population likes either apples or oranges.
