2012 AMC 12B Problem 1

Below is the professionally curated solution for Problem 1 of the 2012 AMC 12B, 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.

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Concepts:whole number operations

Difficulty rating: 560

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

Solution:

Each classroom has 182=1618-2=16 more students than rabbits.

Across all 44 classrooms there are 416=644\cdot16=64 more students than rabbits.

Thus, the correct answer is C.

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