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2015 AMC 8 Question 23

AMC8 · 2015 AMC 8

Question 23

Tom has twelve slips of paper which he wants to put into five cups labeled $A,$ $B,$ $C,$ $D,$ $E.$

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 $A$ to $E.$ The numbers on the papers are $2,$ $2,$ $2,$ $2.5,$ $2.5,$ $3,$ $3,$ $3,$ $3,$ $3.5,$ $4,$ $4.5.$ If a slip with $2$ goes into cup $E$ and a slip with $3$ goes into cup $B,$ then the slip with $3.5$ must go into what cup?
  1. $ A $
  2. $ B $
  3. $ C $
  4. $ D $
  5. $ E $