If 25% of a group of 200 people like hiking, 15% like biking, and 5% like both,

If 25% of a group of 200 people like hiking, 15% like biking, and 5% like both, what percentage like either activity?

If 25% of a group of 200 people like hiking, 15% like biking, and 5% like both, what percentage like either activity?

Step 1: Identify the percentage of people who like hiking, which is 25%.
Step 2: Identify the percentage of people who like biking, which is 15%.
Step 3: Identify the percentage of people who like both activities, which is 5%.
Step 4: Use the inclusion-exclusion principle to find the percentage of people who like either hiking or biking. This means you add the percentage of hikers and bikers, then subtract the percentage of people who like both.
Step 5: Calculate: 25% (hikers) + 15% (bikers) - 5% (both) = 35%.
Step 6: Conclude that 35% of the group like either hiking or biking.

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.
Percentage Calculation – Understanding how to convert raw numbers into percentages and how to manipulate them in the context of set theory.