1985 AMC 12 Problem 4
Attempt Problem 4 of the 1985 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 1985 AMC 12 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
4.
A large bag of coins contains pennies, dimes and quarters. There are twice as many dimes as pennies and three times as many quarters as dimes. An amount of money which could be in the bag is
Answer: C
Small hint:
Let the number of pennies be
Big hint:
Express the total value in cents as a multiple of
Solution:
If there are pennies, there are dimes and quarters. Their total value is cents. Of the listed dollar amounts, cents is possible.
Thus the correct answer is C.
Problem 4 in other years
- 1950 AMC 12
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