AMC8 2006

AMC8 2006 · Q8

AMC8 2006 · Q8. It mainly tests Percent, Probability (basic).

The table shows some of the results of a survey by radio station KAMC. What percentage of the males surveyed listen to the station?

该表格显示了电台 KAMC 的一项调查的部分结果。被调查的男性中有多少百分比听这个电台？

(A) 39 39

(B) 48 48

(D) 55 55

(E) 75 75

Answer

Correct choice: (E)

正确答案：（E）

Solution

(E) Because $200-96=104$ of those surveyed were male, $104-26=78$ of those surveyed are male listeners. \[ \begin{array}{c|c|c|c} & \text{Listen} & \text{Don't Listen} & \text{Total}\\ \hline \text{Male} & 78 & 26 & 104\\ \text{Female} & 58 & 38 & 96\\ \hline \text{Total} & 136 & 64 & 200 \end{array} \] The percentage of males surveyed who listen to KAMC is $\frac{78}{104}\times100\%=75\%$.

（E）因为被调查的$200-96=104$人是男性，且$104-26=78$人是收听者，所以被调查的男性收听者有$78$人。 \[ \begin{array}{c|c|c|c} & \text{收听} & \text{不收听} & \text{总计}\\ \hline \text{男性} & 78 & 26 & 104\\ \text{女性} & 58 & 38 & 96\\ \hline \text{总计} & 136 & 64 & 200 \end{array} \] 被调查男性中收听 KAMC 的百分比为$\frac{78}{104}\times100\%=75\%$。

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