1985 AMC 8 Problem 6

Attempt Problem 6 of the 1985 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 1985 AMC 8 solutions, or check the answer key.

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

6.

A ream of paper containing 500500 sheets is 55 cm thick. Approximately how many sheets of this type of paper would there be in a stack 7.57.5 cm high?
250250
550550
667667
750750
12501250
Answer: D
Concepts:ratio and proportion
Small hint:
The number of sheets is proportional to the height of the stack
Big hint:
A 7.57.5 cm stack is 1.51.5 times as tall as a 55 cm stack
Solution:
Since 7.57.5 cm is 1.51.5 times 55 cm, the stack holds 1.51.5 times as many sheets.
That is 1.5×500=7501.5 \times 500 = 750 sheets.
Thus, the correct answer is D .
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