2005 AMC 8 第 1 题

先试着解答 2005 AMC 8 第 1 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 2005 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。

1.

康妮把一个数乘以 22,得到答案 6060。可是她本应把这个数除以 22 才能得到正确答案。正确答案是多少?
Connie multiplies a number by 22 and gets 6060 as her answer. However, she should have divided the number by 22 to get the correct answer. What is the correct answer?
7.57.5
1515
3030
120120
240240
答案:B
知识点:逆推法
小提示:
先撤销康妮错误的乘法,求出原来的数
Undo Connie’s mistaken multiplication to find the original number.
大提示:
然后把原来的数除以 22
Then divide that original number by 22.
解答:
因为康妮乘以 22,所以原来的数是 60÷2=3060 \div 2 = 30。正确做法是除以 22,得到 30÷2=1530 \div 2 = 15。
所以正确答案是 B。
Since Connie multiplied by 2,2, her original number was 60÷2=30.60 \div 2 = 30. To get the correct answer, she must divide by 22 to get 30÷2=15.30 \div 2 = 15.
Thus, B is the correct answer.
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