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

more than a pink pill, and Al’s pills cost a total of

\$546

for the two weeks. How much does one green pill cost?

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Solution

Over

14

days the daily cost of the two pills is

\frac{546}{14} = 39.

Let

g

be the cost of a green pill. The pink pill costs

g - 1,

g + (g - 1) = 39,

giving

g = 20.

Thus, the correct answer is D.

Tagged: system of equations · linear equation