1993 AMC 8 Problem 5

Attempt Problem 5 of the 1993 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 1993 AMC 8 solutions, or check the answer key.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

5.

Which one of the following bar graphs could represent the data from the circle graph shown?
Answer: C
Concepts:data and graph interpretationratio and proportion
Small hint:
Decide what fraction of the whole circle each of the three regions takes up
Big hint:
Each shaded region is a quarter and the unshaded region is a half, so the three bars should have heights in the ratio 1:1:21 : 1 : 2
Solution:
The two shaded regions are each one quarter of the circle, and the unshaded region is one half. So the three quantities are in the ratio 14:14:12,\tfrac14 : \tfrac14 : \tfrac12, or 1:1:2.1 : 1 : 2.
A matching bar graph must have the two shaded bars equal in height and the unshaded bar exactly twice as tall. Only one bar graph has two equal shaded bars with the white bar double their height.
Thus, the correct answer is C .
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