2011 AMC 10A 第 8 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。

8.

去年夏天,Town Lake 上的鸟中 30%30 \% 是鹅,25%25 \% 是天鹅,10%10 \% 是鹭,35%35 \% 是鸭。不是天鹅的鸟中,百分之多少是鹅?

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:百分数比与比例
难度评级:870
解答:

不妨设共有 100100 只鸟,则不是天鹅的有 7575 只,其中三十只是鹅。 3075100=40%. \dfrac{30}{75} \cdot 100 = 40 \%.

所以正确答案是 C

WLOG, let there be 100100 birds. Then 7575 birds are not swans. The desired percentage is then 3075100=40%. \dfrac{30}{75} \cdot 100 = 40 \%.

Thus, C is the correct answer.

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