2006 AMC 12B 第 4 题

先试着解答 2006 AMC 12B 第 4 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 2006 AMC 12B 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。

4.

Mary 准备在杂货店为五件商品付款。这些商品的价格分别为 $7.99\$7.99,$4.99\$4.99,$2.99\$2.99,$1.99\$1.99,和 $0.99\$0.99。Mary 将用一张二十美元的纸币付款。她收到的找零约占 $20.00\$20.00 的百分之几?
Mary is about to pay for five items at the grocery store. The prices of the items are $7.99,\$7.99, $4.99,\$4.99, $2.99,\$2.99, $1.99,\$1.99, and $0.99.\$0.99. Mary will pay with a twenty-dollar bill. Which of the following is closest to the percentage of the $20.00\$20.00 that she will receive in change?
55
1010
1515
2020
2525
答案:A
知识点:估算百分数
小提示:
把每个价格四舍五入到最接近的美元,快速估计总价
Round each price to the nearest dollar to estimate the total quickly
大提示:
找零是 $20\$20 减去总价;把它与 $20\$20 比较成分数
The change is $20\$20 minus the total; compare it to $20\$20 as a fraction
解答:
商品价格总计 $18.95\$18.95,所以找零为 $1.05\$1.05。它占 $20.00\$20.00 的百分比为 1.0520⋅100%=5.25%。 \frac{1.05}{20}\cdot100\% = 5.25\%\text{。}最接近的选项是 5%5\%。
所以正确答案是 A。
The prices total $18.95,\$18.95, so the change is $1.05.\$1.05. As a percentage of $20.00,\$20.00, this is 1.0520⋅100%=5.25%. \frac{1.05}{20}\cdot100\% = 5.25\%. The closest listed percentage is 5%.5\%.
Thus, the correct answer is A.
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