According to a survey, at least 65% of people like apples, at least 75% like bananas and at least 80% like cherries. What is the minimum percentage of people who like all three?  Choose the correct choice: A) 15% B) 20% C) 25% D) 0% E) 35%
To minimize the percentage who like all three, let's maximize the percentage who like 2 out of 3.   80% like cherries and 20% don't like cherries.   Let's combine this with the people who like bananas.   20% don't like cherries but do like bananas.   55% like cherries and bananas.   25% like cherries but not bananas.   Now let's distribute the people who like apples.   20% like bananas and apples, but not cherries.   25% like cherries and apples, but not bananas.   20% like all three.   35% like cherries and bananas, but not apples.   The answer is 20%.
<result>B</result>
According to a survey, at least 65% of people like apples, at least 75% like bananas and at least 80% like cherries. What is the minimum percentage of people who like all three?