1956 AMC 12 Problem 16
Attempt Problem 16 of the 1956 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 1956 AMC 12 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
16.
The sum of three numbers is The ratio of the first to the second is and the ratio of the second to the third is The second number is:
Answer: C
Small hint:
Choose a common scaling so the three numbers have ratio
Big hint:
Those ratio parts add to
Solution:
The first-to-second ratio and second-to-third ratio combine to give the three-number ratio The total parts equal so each part is The second number is
Thus, the correct answer is C.
Problem 16 in other years
- 1950 AMC 12
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