1997 AMC 8 第 18 题

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18.

上周杂货店小盒面巾纸的价格是 44$5\$5。本周促销价是 55$4\$4。促销期间每盒价格下降的百分比最接近

At the grocery store last week, small boxes of facial tissue were priced at 44 boxes for $5.\$5. This week they are on sale at 55 boxes for $4.\$4. The percent decrease in the price per box during the sale was closest to

30%30\%

35%35\%

40%40\%

45%45\%

65%65\%

答案:B
知识点:百分数速率
难度评级:1280
解答:

原来每盒价格为 $5÷4=$1.25. \$ 5 \div 4 = \$ 1.25.

现在每盒价格为 $4÷5=$.8. \$ 4 \div 5 = \$ .8.

下降百分比为 1.25.81.25100%=45125100% \dfrac{1.25 - .8}{1.25} \cdot 100 \% = \dfrac{45}{125} \cdot 100 \% =925100%=36%.= \dfrac{9}{25} \cdot 100 \% = 36 \%.

所以正确答案是 B

Originally, each box is worth $5÷4=$1.25. \$ 5 \div 4 = \$ 1.25.

Now, each box is worth $4÷5=$.8. \$ 4 \div 5 = \$ .8.

The percent decrease is then 1.25.81.25100%=45125100% \dfrac{1.25 - .8}{1.25} \cdot 100 \% = \dfrac{45}{125} \cdot 100 \% =925100%=36%.= \dfrac{9}{25} \cdot 100 \% = 36 \%.

Thus, B is the correct answer.

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