Problem 5 · 1993 AJHSME
Medium
Fractions, Decimals & Percents
read-graphproportion
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Answer: C — Bar graph C.
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Hint 1 of 2
A pie chart and a bar graph are two costumes for the same numbers — the matching one keeps the proportions. So first read the pie as ratios, not exact amounts.
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Hint 2 of 2
Eyeball the slices: white is a half, black and gray are equal quarters. The right bar graph must echo that shape — one bar twice as tall as two equal shorter ones.
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Approach: translate the pie's proportions into bar heights
- Read the circle as fractions: the white slice fills half the circle; the black and gray slices are equal quarters. So the ratio is white : black : gray = 2 : 1 : 1.
- The bars must carry that same 2 : 1 : 1 shape — one bar twice as tall as two equal shorter bars. Only graph C shows two short equal bars and one tall bar at double their height.
- Why this transfers: matching a pie to a bar graph is pure proportion-reading. Ignore the exact numbers and ask only 'which is biggest, and by what ratio?' — the slice that's half a circle becomes the bar that's double the others.
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