1986 AMC 8 Problem 16

Attempt Problem 16 of the 1986 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 1986 AMC 8 solutions, or check the answer key.

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

16.

A bar graph shows the number of hamburgers sold by a fast food chain each season. However, the bar indicating the number sold during the winter is covered by a smudge. If exactly 25%25\% of the chain’s hamburgers are sold in the fall, how many million hamburgers are sold in the winter?
2.52.5
33
3.53.5
44
4.54.5
Answer: A
Concepts:percentage
Small hint:
The fall sales of 44 million are 25%25\% of the yearly total, so find the yearly total first
Big hint:
Subtract the spring, summer, and fall sales from the yearly total
Solution:
If the fall sales of 44 million are 25%25\% of the yearly total, then the yearly total is 1616 million.
The winter sales are 16−(4.5+5+4)=2.516 - (4.5 + 5 + 4) = 2.5 million.
Thus, the correct answer is A .
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