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2003 AMC 10B 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

Each day’s pills cost 546÷14=39546 \div 14 = 39 dollars. If xx is the cost of a green pill, then the pink pill costs x−1,x-1, so x+(x−1)=39.x+(x-1)=39. Solving gives x=20.x=20. Thus, the correct answer is D.

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Concepts: money · linear equation

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