2012 AMC 12B Problem 3
Attempt Problem 3 of the 2012 AMC 12B 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 2012 AMC 12B solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
3.
For a science project, Sammy observed a chipmunk and a squirrel stashing acorns in holes. The chipmunk hid acorns in each of the holes it dug. The squirrel hid acorns in each of the holes it dug. They each hid the same number of acorns, although the squirrel needed fewer holes. How many acorns did the chipmunk hide?
Answer: D
Small hint:
Let be the number of holes the chipmunk dug, so the squirrel dug
Big hint:
The equal totals give
Solution:
Let be the number of holes the chipmunk dug. The chipmunk hid acorns and the squirrel hid acorns.
Since they hid the same number, which gives
The chipmunk hid acorns.
Thus, the correct answer is D.
Problem 3 in other years
- 1950 AMC 12
- 1951 AMC 12
- 1952 AMC 12
- 1953 AMC 12
- 1954 AMC 12
- 1955 AMC 12
- 1956 AMC 12
- 1957 AMC 12
- 1958 AMC 12
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