A survey shows that 70% of people like chocolate, 50% like vanilla, and 20% like
Practice Questions
Q1
A survey shows that 70% of people like chocolate, 50% like vanilla, and 20% like both. What percentage of people like either chocolate or vanilla?
100%
90%
80%
70%
Questions & Step-by-Step Solutions
A survey shows that 70% of people like chocolate, 50% like vanilla, and 20% like both. What percentage of people like either chocolate or vanilla?
Step 1: Identify the percentage of people who like chocolate, which is 70%.
Step 2: Identify the percentage of people who like vanilla, which is 50%.
Step 3: Identify the percentage of people who like both chocolate and vanilla, which is 20%.
Step 4: To find the percentage of people who like either chocolate or vanilla, use the formula: (Percentage who like chocolate) + (Percentage who like vanilla) - (Percentage who like both).
Step 5: Plug in the numbers: 70% + 50% - 20%.
Step 6: Calculate the result: 70 + 50 = 120, then 120 - 20 = 100.
Step 7: The final answer is that 100% of people like either chocolate or vanilla.
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.
