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Tickets at the Theatre

Source: 2014 AMC 12A #2

February 5, 2014
AMC

Problem Statement

At the theater children get in for half price. The price for 55 adult tickets and 44 child tickets is $24.50\$24.50. How much would 88 adult tickets and 66 child tickets cost?
<spanclass=latexbold>(A)</span>$35<spanclass=latexbold>(B)</span>$38.50<spanclass=latexbold>(C)</span>$40<spanclass=latexbold>(D)</span>$42<spanclass=latexbold>(E)</span>$42.50<span class='latex-bold'>(A) </span>\$35\qquad <span class='latex-bold'>(B) </span>\$38.50\qquad <span class='latex-bold'>(C) </span>\$40\qquad <span class='latex-bold'>(D) </span>\$42\qquad <span class='latex-bold'>(E) </span>\$42.50