A survey of 500 high school students was taken to determine their favorite chocolate candy. Of the 500 students surveyed, 149 like Snickers, 186 like Twix, 134 like Reese's Peanut Butter Cups, 70 like Snickers and Twix, 82 like Twix and Reese's Peanut Butter Cups, 31 like Snickers and Reese's Peanut Butter Cups, and 19 like all three kinds of chocolate candy. How many students like at most 2 kinds of these chocolate candies?

Question

Katherine Clarke

Mathematics

26 September, 15:05

A survey of 500 high school students was taken to determine their favorite chocolate candy. Of the 500 students surveyed, 149 like Snickers, 186 like Twix, 134 like Reese's Peanut Butter Cups, 70 like Snickers and Twix, 82 like Twix and Reese's Peanut Butter Cups, 31 like Snickers and Reese's Peanut Butter Cups, and 19 like all three kinds of chocolate candy. How many students like at most 2 kinds of these chocolate candies?

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Answers (2)

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Ciara Haynes · Answer 1

338 out of 500 liked the 2 most popular (snickers and twix) so if 338 out of 500 liked the 2 most popular then 162 liked the rest

Emmett Warren · Answer 2

Given that 19 like all three kinds of chocolate candy (Snickers, Twix and Reese's Peanut Butter Cups), then 500 - 19 = 481 high school students like at most 2 kinds of these chocolate candies, that is, they like only one of them or a combination of two of them.