2012 AMC 12B Problem 1

Attempt Problem 1 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).

1.

Each third-grade classroom at Pearl Creek Elementary has 1818 students and 22 pet rabbits. How many more students than rabbits are there in all 44 of the third-grade classrooms?
4848
5656
6464
7272
8080
Answer: C
Concepts:whole number operations
Small hint:
Each classroom has 18−218-2 more students than rabbits
Big hint:
Multiply the per-classroom difference by 44
Solution:
Each classroom has 18−2=1618-2=16 more students than rabbits.
Across all 44 classrooms there are 4⋅16=644\cdot16=64 more students than rabbits.
Thus, the correct answer is C.
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