2011 AMC 12A 第 5 题

先试着解答 2011 AMC 12A 第 5 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 2011 AMC 12A 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。

5.

去年夏天,Town Lake 上生活的鸟中 30%30\% 是鹅,25%25\% 是天鹅,10%10\% 是鹭,35%35\% 是鸭。在不是天鹅的鸟中,鹅占百分之几?
Last summer 30%30\% of the birds living on Town Lake were geese, 25%25\% were swans, 10%10\% were herons, and 35%35\% were ducks. What percent of the birds that were not swans were geese?
2020
3030
4040
5050
6060
答案:C
知识点:百分数条件概率
小提示:
不是天鹅的鸟占总数的 75%75\%
The non-swan birds make up 75%75\% of the total
大提示:
把 3075\dfrac{30}{75} 化成百分数
Compute 3075\dfrac{30}{75} as a percent
解答:
不是天鹅的鸟占总数的 100%−25%=75%100\% - 25\% = 75\%,而鹅占总数的 30%30\%。所求比例为 3075=25=40%。 \dfrac{30}{75} = \dfrac{2}{5} = 40\%\text{。}
因此,正确答案是 C。
The birds that are not swans make up 100%−25%=75%100\% - 25\% = 75\% of the total, and geese are 30%30\% of the total. The requested fraction is 3075=25=40%. \dfrac{30}{75} = \dfrac{2}{5} = 40\%.
Thus, the correct answer is C.
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