2005 AMC 12A Problem 1

Attempt Problem 1 of the 2005 AMC 12A 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 2005 AMC 12A solutions, or check the answer key.

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1.

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

11

22

55

1010

2020

Answer: D
Concepts:percentagelinear equation
Difficulty rating: 770
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 xy=2010=10.x - y = 20 - 10 = 10.

Thus, the correct answer is D.

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