1991 AMC 8 Problem 18

Attempt Problem 18 of the 1991 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 1991 AMC 8 solutions, or check the answer key.

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

18.

The vertical axis indicates the number of employees, but the scale was accidentally omitted from this graph. What percent of the employees at the Gauss Company have worked there for 55 years or more?
9%9\%
2313%23\dfrac13\%
30%30\%
4267%42\dfrac67\%
50%50\%
Answer: C
Concepts:data and graph interpretationpercentage
Small hint:
Since the vertical scale is unknown, work with the number of X’s rather than any value
Big hint:
Divide the X’s over years 55 through 1010 by the total number of X’s
Solution:
No matter the missing scale, each X represents the same number of employees. There are 99 X’s over years 55 through 10,10, and 3030 X’s in all.
So the fraction is 930=30%.\dfrac{9}{30} = 30\%.
Thus, the correct answer is C .
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