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Collection of Marbles

Source: AMC 10 2008A Problem 12

February 22, 2008
AMC

Problem Statement

In a collection of red, blue, and green marbles, there are 25% 25\% more red marbles than blue marbles, and there are 60% 60\% more green marbles than red marbles. Suppose that there are r r red marbles. What is the total number of marbles in that collection? <spanclass=latexbold>(A)</span> 2.85r<spanclass=latexbold>(B)</span> 3r<spanclass=latexbold>(C)</span> 3.4r<spanclass=latexbold>(D)</span> 3.85r<spanclass=latexbold>(E)</span> 4.25r <span class='latex-bold'>(A)</span>\ 2.85r \qquad <span class='latex-bold'>(B)</span>\ 3r \qquad <span class='latex-bold'>(C)</span>\ 3.4r \qquad <span class='latex-bold'>(D)</span>\ 3.85r \qquad <span class='latex-bold'>(E)</span>\ 4.25r