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2004 AMC 8 Question 16

AMC8 · 2004 AMC 8

Question 16

Two $600$ mL pitchers contain orange juice. One pitcher is $\frac 13$ full and the other pitcher is $\frac 25$ 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?
  1. $\dfrac{1}{8}$
  2. $\dfrac{3}{16}$
  3. $\dfrac{11}{30}$
  4. $\dfrac{11}{19}$
  5. $\dfrac{11}{15}$