MathDB
Movie mayhem

Source: Problem #13 2016 AMC 10A

February 3, 2016
AMCAMC 10AMC 10 A2016 AMC 10A

Problem Statement

Five friends sat in a movie theater in a row containing 55 seats, numbered 11 to 55 from left to right. (The directions "left" and "right" are from the point of view of the people as they sit in the seats.) During the movie Ada went to the lobby to get some popcorn. When she returned, she found that Bea had moved two seats to the right, Ceci had moved one seat to the left, and Dee and Edie had switched seats, leaving an end seat for Ada. In which seat had Ada been sitting before she got up?
<spanclass=′latex−bold′>(A)</span>1<spanclass=′latex−bold′>(B)</span>2<spanclass=′latex−bold′>(C)</span>3<spanclass=′latex−bold′>(D)</span>4<spanclass=′latex−bold′>(E)</span>5<span class='latex-bold'>(A) </span>1 \qquad <span class='latex-bold'>(B) </span> 2 \qquad <span class='latex-bold'>(C) </span> 3 \qquad <span class='latex-bold'>(D) </span> 4\qquad <span class='latex-bold'>(E) </span> 5
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