1993 AMC 8 Problem 5

Below is the professionally curated solution for Problem 5 of the 1993 AMC 8, 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.

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Concepts:data and graph interpretationratio and proportion

Difficulty rating: 660

5.

Which one of the following bar graphs could represent the data from the circle graph shown?

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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