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?

两个容量为 600 mL 的罐子里装有橙汁。一个罐子装了

\displaystyle \frac{1}{3}

，另一个装了

\displaystyle \frac{2}{5}

。向每个罐子加水使其装满，然后把两个罐子的液体都倒入一个大容器中。那么大容器里的混合液中橙汁占的比例是多少？

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

正确答案 · Correct Answer

解析 · Solution

Solution 1

The first pitcher contains

600 \cdot \frac13 = 200

mL of orange juice. The second pitcher contains

600 \cdot \frac25 = 240

mL of orange juice. In the large pitcher, there is a total of 200+240 = 440 mL of orange juice and 600+600 = 1200 mL of fluids, giving a fraction of

\displaystyle \frac{440}{1200} =,\frac{11}{30}

继续练习

免费刷 2004 整卷 →