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According to a survey, at least 70% 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?

A. 15% B. 20% C. 25% D. 0% E. 35%

I got this wrong. Here's my work. Where did I go wrong?

thanks but i dont understand that solution. it is a very intuitive answer and i'm not at that level. i need some formulas. build from the ground up first then i'll try to understand it at a highlevel.

i guess A+B has to have some minimal overlap since it has to be max 100. But why not 40 or 35 etc.. because it only has to be less than 100 it doesn't have to add to 100.

If 70% like A and 75% like B then the ones which like them both are 70+75-100 = 45% 80% like C so all the C lovers plus the ones which like A an B both are: 45+80 = 125 so the ones which like A + B + C are 125- 100= 25%

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