2011 AMC 12A 第 5 题

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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
难度评级:990
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\%.

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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