MathDB
AMC 8 2004 Problem 18

Source:

November 28, 2010
AMC 8

Problem Statement

Five friends compete in a dart-throwing contest. Each one has two darts to throw at the same circular target, and each individual's score is the sum of the scores in the target regions that are hit. The scores for the target regions are the whole numbers 11 through 1010. Each throw hits the target in a region with a different value. The scores are: Alice 1616 points, Ben 44 points, Cindy 77 points, Dave 1111 points, and Ellen 1717 points. Who hits the region worth 66 points?
<spanclass=latexbold>(A)</span> Alice<spanclass=latexbold>(B)</span> Ben<spanclass=latexbold>(C)</span> Cindy<spanclass=latexbold>(D)</span> Dave<spanclass=latexbold>(E)</span> Ellen<span class='latex-bold'>(A)</span>\ \text{Alice} \qquad <span class='latex-bold'>(B)</span>\ \text{Ben}\qquad <span class='latex-bold'>(C)</span>\ \text{Cindy}\qquad <span class='latex-bold'>(D)</span>\ \text{Dave}\qquad <span class='latex-bold'>(E)</span>\ \text{Ellen}