2003 AMC 8 第 11 题

先试着解答 2003 AMC 8 第 11 题,然后核对你的答案与精心整理的解答,解答来自 LIVE by Po-Shen Loh。你也可以参加完整限时模拟考试、查看全部 2003 AMC 8 解答,或核对答案。

所有题目均经美国数学协会(MAA)官方合法授权使用。

11.

Lou’s Fine Shoes 生意有点慢,于是 Lou 决定促销。星期五,Lou 将星期四所有价格提高 10%10 \%。周末,Lou 做广告:“标价九折,促销星期一开始。”星期四售价 $40\$40 的一双鞋,星期一卖多少钱?
Business is a little slow at Lou’s Fine Shoes, so Lou decides to have a sale. On Friday, Lou increases all of Thursday’s prices by 10%.10 \%. Over the weekend, Lou advertises the sale: “Ten percent off the listed price. Sale starts Monday.” How much does a pair of shoes cost on Monday that cost $40\$40 on Thursday?
$36\$36
$39.60\$39.60
$40\$40
$40.40\$40.40
$44\$44
答案:B
知识点:百分数
小提示:
星期一的折扣是从星期五提高后的价格上打折
The Monday discount is taken from Friday’s increased price.
大提示:
将原价先乘以 1.101.10,再乘以 0.900.90
Multiply the original price by 1.10,1.10, then by 0.90.0.90.
解答:
星期五鞋价提高 10%10\%,所以标价变为 40⋅1.10=4440\cdot1.10=44 美元。
星期一再打 10%10\% 的折扣,从 $44\$44 降到 44⋅0.90=39.6044\cdot0.90=39.60 美元。
所以正确答案是 B。
On Friday, the shoes are marked up by 10%,10\%, so the listed price becomes 40⋅1.10=4440\cdot1.10=44 dollars.
On Monday, the 10%10\% discount is taken from $44,\$44, giving 44⋅0.90=39.6044\cdot0.90=39.60 dollars.
Thus, B is the correct answer.
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