1960 AMC 12 Problem 29
Attempt Problem 29 of the 1960 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 1960 AMC 12 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
29.
Five times ’s money added to ’s money is more than Three times ’s money minus ’s money is If represents ’s money in dollars and represents ’s money in dollars, then:
but we can put no bounds on
Answer: A
Small hint:
Use to express in terms of
Big hint:
Substitute into
Solution:
From we have Substitution into the inequality gives so It follows that
Thus, the correct answer is A.
Problem 29 in other years
- 1950 AMC 12
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