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Frosting Cupcakes

Source: 2012 AMC10A Problem #1

February 8, 2012
AMCAMC 12AMC 12 AAMC 10

Problem Statement

Cagney can frost a cupcake every 2020 seconds and Lacey can frost a cupcake every 3030 seconds. Working together, how many cupcakes can they frost in 55 minutes?
<spanclass=latexbold>(A)</span> 10<spanclass=latexbold>(B)</span> 15<spanclass=latexbold>(C)</span> 20<spanclass=latexbold>(D)</span> 25<spanclass=latexbold>(E)</span> 30 <span class='latex-bold'>(A)</span>\ 10 \qquad<span class='latex-bold'>(B)</span>\ 15 \qquad<span class='latex-bold'>(C)</span>\ 20 \qquad<span class='latex-bold'>(D)</span>\ 25 \qquad<span class='latex-bold'>(E)</span>\ 30