Question

At a breakfast buffet, 45% of people choose coffee for their beverage while 25% choose juice. Also, 15% choose both coffee and juice. What percentage of people prefer neither coffee or juice? Express your answer as percent.

Answer 1

To find the percentage of people who prefer neither coffee nor juice at a buffet, we use the inclusion-exclusion principle to calculate that 45% of people fall into this category.

Step-by-step explanation:

The question is asking us to determine what percentage of people at a breakfast buffet prefer neither coffee nor juice as their beverage. We are given that 45% of people choose coffee, 25% choose juice, and 15% choose both coffee and juice. To solve this problem, we need to use the principle of inclusion-exclusion in probability and percentages. We add the percentages of those who prefer coffee and juice together and then subtract the percentage of those who prefer both to avoid double-counting:

45% (coffee) + 25% (juice) - 15% (both) = 55%.

This tells us that 55% of the people prefer either coffee or juice or both. Since the total percentage must equal 100%, we subtract 55% from 100% to find the percentage of people who prefer neither beverage:

100% - 55% = 45%.

Therefore, 45% of the people at the breakfast buffet prefer neither coffee nor juice.

Answer 2

45% + 25% = 70%
70% + 15% = 85%
100% - 85% = 15%
So 15% do not like coffee or juice.