2009 AMC 10A Problem 1

Attempt Problem 1 of the 2009 AMC 10A 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 2009 AMC 10A solutions, or check the answer key.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

1.

One can holds 1212 ounces of soda. What is the minimum number of cans needed to provide a gallon (128128 ounces) of soda?
77
88
99
1010
1111
Answer: E
Concepts:divisibilityestimation
Small hint:
Divide 128128 by 1212
Big hint:
A partly filled last can still counts as a whole can
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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