2011 AMC 12A Problem 7
Below is the professionally curated solution for Problem 7 of the 2011 AMC 12A, from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2011 AMC 12A solutions, or check the answer key.
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Difficulty rating: 1370
7.
A majority of the students in Ms. Demeanor's class bought pencils at the school bookstore. Each of these students bought the same number of pencils, and this number was greater than The cost of a pencil in cents was greater than the number of pencils each student bought, and the total cost of all the pencils was What was the cost of a pencil in cents?
Solution:
Total cents is Writing (students)(pencils each)(cost per pencil) the number of students is a divisor of that is a majority of hence more than The only such divisor is
Then (pencils)(cost) with cost pencils forcing pencils at cents each.
Thus, the correct answer is B.
Problem 7 in Other Years
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