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2009 AMC 10B Problem 5

Problem 5 of 25EasierAlgebra

Twenty percent less than 6060 is one-third more than what number?

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Solution

Twenty percent less than 6060 is 45⋅60=48.\dfrac45\cdot60=48. If nn is the unknown number, one-third more than nn is 43n,\dfrac43 n, so 43n=48 \dfrac43 n=48 n=36. n=36. Thus, the correct answer is D.

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Concepts: percentage · linear equation

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