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2009 AMC 10A Problem 1

Problem 1 of 25EasierNumber Theory

One can holds 1212 ounces of soda. What is the minimum number of cans needed to provide a gallon (128128 ounces) of soda?

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Solution

Since 12812=1023,\dfrac{128}{12} = 10\dfrac{2}{3}, ten cans hold only 120120 ounces, which is not enough. Therefore 1111 cans are needed. Thus, the correct answer is E.

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Concepts: divisibility · estimation

Problem text and solution from the LIVE past-contest archive. See also the AoPS wiki page for community solutions.