2006 AMC 8 Problem 8

Attempt Problem 8 of the 2006 AMC 8 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2006 AMC 8 solutions, or check the answer key.

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8.

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

3939

4848

5252

5555

7575

Answer: E
Concepts:data and graph interpretationpercentage
Difficulty rating: 1000
Solution:

The total number of males surveyed is the total number surveyed minus the number of females surveyed: 20096=104200-96=104.

Of those males, 2626 do not listen, so 10426=78104-26=78 males listen. The desired percentage is 78104100%=75%\dfrac{78}{104}\cdot 100\%=75\%.

Thus, E is the correct answer.

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