A survey shows that 40% of people like apples, 30% like bananas, and 10% like bo
Practice Questions
Q1
A survey shows that 40% of people like apples, 30% like bananas, and 10% like both. What percentage of people like either apples or bananas?
60%
70%
50%
80%
Questions & Step-by-Step Solutions
A survey shows that 40% of people like apples, 30% like bananas, and 10% like both. What percentage of people like either apples or bananas?
Step 1: Identify the percentage of people who like apples, which is 40%.
Step 2: Identify the percentage of people who like bananas, which is 30%.
Step 3: Identify the percentage of people who like both apples and bananas, which is 10%.
Step 4: To find the percentage of people who like either apples or bananas, add the percentage of people who like apples (40%) to the percentage of people who like bananas (30%).
Step 5: Now, subtract the percentage of people who like both apples and bananas (10%) from the total you got in Step 4.
Step 6: The calculation is 40% + 30% - 10% = 60%.
Step 7: Therefore, 60% of people like either apples or bananas.
Inclusion-Exclusion Principle – A method used to calculate the size of the union of two sets by adding the sizes of the individual sets and subtracting the size of their intersection.