AMC 8 2004 Problem 16

AMC8 2004 年第 16 题

比与比例★★★☆☆

Two 600 mL pitchers contain orange juice. One pitcher is $1/3$ full and the other pitcher is $2/5$ 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?

两个 600mL 的罐子里装了橙汁。其中一个罐子装了总容量的，另一个罐子装了总容量的。向每个罐子加水，以使得两个罐子都装满液体。然后将两个罐子的液体都倒入同一个大的容器中。那么这个大的容器所装的混合物中，橙汁占了多少比例？

A. $\frac18$
B. $\displaystyle \frac{3}{16}$
C. $\displaystyle \frac{11}{30}$
D. $\displaystyle \frac{11}{19}$
E. $\displaystyle \frac{11}{15}$

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