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Sorting Slips of Paper

Source: 2015 AMC 8 Problem 23

November 25, 2015
AMC 8

Problem Statement

Tom has twelve slips of paper which he wants to put into five cups labeled AA, BB, CC, DD, EE. He wants the sum of the numbers on the slips in each cup to be an integer. Furthermore, he wants the five integers to be consecutive and increasing from AA to EE. The numbers on the papers are 2, 2, 2, 2.5, 2.5, 3, 3, 3, 3, 3.5, 4, and 4.5. If a slip with 2 goes into cup EE and a slip with 3 goes into cup BB, then the slip with 3.5 must go into what cup?
<spanclass=latexbold>(A)</span>A<spanclass=latexbold>(B)</span>B<spanclass=latexbold>(C)</span>C<spanclass=latexbold>(D)</span>D<spanclass=latexbold>(E)</span>E <span class='latex-bold'>(A) </span> A \qquad <span class='latex-bold'>(B) </span> B \qquad <span class='latex-bold'>(C) </span> C \qquad <span class='latex-bold'>(D) </span> D \qquad <span class='latex-bold'>(E) </span> E