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2010 AMC 8 Question 20

AMC8 · 2010 AMC 8

Question 20

In a room, $\frac{2}{5}$ of the people are wearing gloves, and $\frac{3}{4}$ of the people are wearing hats. What is the minimum number of people in the room wearing both a hat and gloves?
  1. $ \ 3 $
  2. $ \ 5 $
  3. $ \ 8 $
  4. $ \ 15 $
  5. $ \ 20 $