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2003 AMC 12B Problem 2

Problem 2 of 25EasierAlgebra

Al gets the disease algebritis and must take one green pill and one pink pill each day for two weeks. A green pill costs $1\$1 more than a pink pill, and Al’s pills cost a total of $546\$546 for the two weeks. How much does one green pill cost?

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Solution

Over 1414 days the daily cost of the two pills is 54614=39. \frac{546}{14} = 39. Let gg be the cost of a green pill. The pink pill costs g−1,g - 1, so g+(g−1)=39, g + (g - 1) = 39, giving g=20.g = 20. Thus, the correct answer is D.

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Concepts: system of equations · linear equation

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