2013 AMC 8 第 12 题

先试着解答 2013 AMC 8 第 12 题,然后核对你的答案与视频与精心整理的解答,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 2013 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。

12.

在 20132013 年威尼贝戈县集市上,一个摊贩正在对凉鞋推出“集市特价”。如果你以正常价格 $50\$50 买一双凉鞋,第二双打 40%40 \% 折扣,第三双半价。
哈维尔利用这个“集市特价”买了三双凉鞋。与 $150\$150 的正常总价相比,他节省了百分之多少?
At the 20132013 Winnebago County Fair a vendor is offering a “fair special” on sandals. If you buy one pair of sandals at the regular price of $50,\$50, you get a second pair at a 40%40 \% discount, and a third pair at half the regular price.
Javier took advantage of the “fair special” to buy three pairs of sandals. What percentage of the $150\$150 regular price did he save?
2525
3030
3333
4040
4545
答案:B
知识点:百分数
小提示:
计算每双凉鞋实际支付的价格
Compute the price paid for each pair of sandals.
大提示:
将总节省金额与正常总价 $150\$150 比较
Compare the total savings with the regular total of $150\$150.
视频讲解:
解答视频缩略图
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文字解答:
哈维尔第二双节省 0.40⋅50=200.40 \cdot 50 = 20 美元。第三双节省 502=25\frac{50}{2} = 25 美元。因此他一共节省 4545 美元。
因为 45150=310=0.30, \frac{45}{150} = \frac{3}{10} = 0.30\text{,} 所以与正常价格相比,他节省了 30%30 \%。
所以正确答案是 B。
Javier saved 0.40⋅50=200.40 \cdot 50 = 20 dollars on the second pair. He also saved 502=25\frac{50}{2} = 25 dollars on the third pair. This shows that he saved a total of 4545 dollars.
As 45150=310=0.30,\frac{45}{150} = \frac{3}{10} = 0.30, we can conclude that Javier saved 30%30 \% compared to the regular price.
Thus, B is the correct answer.
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