1973 AMC 12 Problem 12
Attempt Problem 12 of the 1973 AMC 12 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 1973 AMC 12 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
12.
The average (arithmetic mean) age of a group consisting of doctors and lawyers is If the doctors average and the lawyers years old, then the ratio of the number of doctors to the number of lawyers is
Answer: D
Small hint:
Let and be the numbers of doctors and lawyers
Big hint:
Equate the total age to
Solution:
If there are doctors and lawyers, then Thus so
Therefore, the correct answer is D.
Problem 12 in other years
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