AMC12 2012 B

AMC12 2012 B · Q4

AMC12 2012 B · Q4. It mainly tests Percent, Ratios & proportions.

Suppose that the euro is worth 1.3 dollars. If Diana has 500 dollars and Etienne has 400 euros, by what percent is the value of Etienne's money greater that the value of Diana's money?

假设欧元的价值为 1.3 美元。如果 Diana 有 500 美元而 Etienne 有 400 欧元，那么 Etienne 的钱的价值比 Diana 的钱的价值多百分之多少？

(A) 2 2

(B) 4 4

(D) 8 8

(E) 13 13

Answer

Correct choice: (B)

正确答案：（B）

Solution

The ratio $\frac{400 \text{ euros}}{500 \text{ dollars}}$ can be simplified using conversion factors:\[\frac{400 \text{ euros}}{500 \text{ dollars}} \cdot \frac{1.3 \text{ dollars}}{1 \text{ euro}} = \frac{520}{500} = 1.04\] which means the money is greater by $\boxed{ \textbf{(B)} \ 4 }$ percent.

比值 $\frac{400 \text{ euros}}{500 \text{ dollars}}$ 可以用换算因子化简：\[\frac{400 \text{ euros}}{500 \text{ dollars}} \cdot \frac{1.3 \text{ dollars}}{1 \text{ euro}} = \frac{520}{500} = 1.04\] 这意味着 Etienne 的钱的价值多 $\boxed{ \textbf{(B)} \ 4 }$ 百分比。

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