MathDB
Red & Green lights

Source: 2012 AMC 12 #7

February 23, 2012
AMC

Problem Statement

Small lights are hung on a string 6 inches apart in the order red, red, green, green, green, red, red, green, green, green, and so on continuing this pattern of 2 red lights followed by 3 green lights. How many feet separate the third red light and the 21st red light?
Note: 1 foot is equal to 12 inches.
<spanclass=latexbold>(A)</span> 18<spanclass=latexbold>(B)</span> 18.5<spanclass=latexbold>(C)</span> 20<spanclass=latexbold>(D)</span> 20.5<spanclass=latexbold>(E)</span> 22.5<span class='latex-bold'>(A)</span>\ 18 \qquad<span class='latex-bold'>(B)</span>\ 18.5 \qquad<span class='latex-bold'>(C)</span>\ 20 \qquad<span class='latex-bold'>(D)</span>\ 20.5 \qquad<span class='latex-bold'>(E)</span>\ 22.5