MathDB
2010 AMC 8 #20

Source:

May 22, 2011
number theoryleast common multiple

Problem Statement

In a room, 2/52/5 of the people are wearing gloves, and 3/43/4 of the people are wearing hats. What is the minimum number of people in the room wearing both a hat and a glove?
<spanclass=latexbold>(A)</span> 3<spanclass=latexbold>(B)</span> 5<spanclass=latexbold>(C)</span> 8<spanclass=latexbold>(D)</span> 15<spanclass=latexbold>(E)</span> 20 <span class='latex-bold'>(A)</span>\ 3 \qquad<span class='latex-bold'>(B)</span>\ 5\qquad<span class='latex-bold'>(C)</span>\ 8\qquad<span class='latex-bold'>(D)</span>\ 15\qquad<span class='latex-bold'>(E)</span>\ 20