1986 AMC 8 Problem 16

Below is the professionally curated solution for Problem 16 of the 1986 AMC 8, 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).

Concepts:percentage

Difficulty rating: 960

16.

A fast food chain sold 4.54.5 million hamburgers in the spring, 55 million in the summer, and 44 million in the fall; the number sold in the winter is unknown. 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

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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