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AMC 8 2004 Problem 16

Source:

November 28, 2010
AMC 8

Problem Statement

Two 600600 ml pitchers contain orange juice. One pitcher is 13\frac{1}{3} full and the other pitcher is 25\frac{2}{5} full. Water is added to fill each pitcher completely, then both pitchers are poured into one large container. What fraction of the mixture in the large container is orange juice?
<spanclass=′latex−bold′>(A)</span> 18<spanclass=′latex−bold′>(B)</span> 316<spanclass=′latex−bold′>(C)</span> 1130<spanclass=′latex−bold′>(D)</span> 1119<spanclass=′latex−bold′>(E)</span> 1115<span class='latex-bold'>(A)</span>\ \frac{1}{8}\qquad <span class='latex-bold'>(B)</span>\ \frac{3}{16}\qquad <span class='latex-bold'>(C)</span>\ \frac{11}{30}\qquad <span class='latex-bold'>(D)</span>\ \frac{11}{19}\qquad <span class='latex-bold'>(E)</span>\ \frac{11}{15}
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