AMC8 1999

AMC8 1999 · Q22

AMC8 1999 · Q22. It mainly tests Fractions, Ratios & proportions.

In a far-off land three fish can be traded for two loaves of bread and a loaf of bread can be traded for four bags of rice. How many bags of rice is one fish worth?

在一个遥远的国家，三条鱼可以换两块面包，一块面包可以换四袋米。一条鱼值多少袋米？

(A) $\frac{3}{8}$ $\frac{3}{8}$

(B) $\frac{1}{2}$ $\frac{1}{2}$

(D) $2\frac{2}{3}$ $2\frac{2}{3}$

(E) $3\frac{1}{3}$ $3\frac{1}{3}$

Answer

Correct choice: (D)

正确答案：（D）

Solution

Answer (D): One fish is worth $\frac{2}{3}$ of a loaf of bread and $\frac{2}{3}$ of a loaf of bread is worth $\frac{2}{3}\cdot 4=\frac{8}{3}=2\frac{2}{3}$ bags of rice. OR $3F=2B$ $\frac{3}{2}F=B=4R$ $\left(\frac{2}{3}\right)\left(\frac{3}{2}\right)F=\frac{2}{3}(4R)$ $F=\frac{8}{3}R=2\frac{2}{3}R.$

答案（D）：一条鱼相当于一条面包的$\frac{2}{3}$，而一条面包的$\frac{2}{3}$相当于$\frac{2}{3}\cdot 4=\frac{8}{3}=2\frac{2}{3}$袋米。或者 $3F=2B$ $\frac{3}{2}F=B=4R$ $\left(\frac{2}{3}\right)\left(\frac{3}{2}\right)F=\frac{2}{3}(4R)$ $F=\frac{8}{3}R=2\frac{2}{3}R.$

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