2003 AMC 10B Problem 2

Below is the professionally curated solution for Problem 2 of the 2003 AMC 10B, from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2003 AMC 10B solutions, or check the answer key.

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Concepts:money linear equation

Difficulty rating: 830

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?

$\$7$

$\$14$

$\$19$

$\$20$

$\$39$

Solution:

Each day's pills cost $546 \div 14 = 39$ dollars. If $x$ is the cost of a green pill, then the pink pill costs $x-1,$ so $x+(x-1)=39.$ Solving gives $x=20.$

Thus, the correct answer is D.

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