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2005 AMC 12A Problem 1

Problem 1 of 25EasierAlgebra

Two is 10%10\% of xx and 20%20\% of y.y. What is x−y?x - y?

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Solution

From 0.1x=20.1x = 2 we get x=20,x = 20, and from 0.2y=20.2y = 2 we get y=10.y = 10. Therefore x−y=20−10=10.x - y = 20 - 10 = 10. 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.