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BEBRAS 2023 Grade 5-6 Round 2 Ext Question 11

BEBRAS · BEBRAS 2023 Grade 5-6 Round 2 Ext

Question 11

Beaver must distribute five items among Fuzzy, Wuzzy and Izzy. Each person values each item differently, as shown.

Question illustration

Columns mean Item 1, Item 2, Item 3, Item 4, Item 5. Fuzzy’s values are 10, 13, 8, 5, 3; Wuzzy’s are 2, 11, 4, 5, 6; Izzy’s are 6, 10, 6, 4, 8. For example, Fuzzy values item 1 at 10 units, while Izzy values it at only 6 units. If Wuzzy has items 4 and 5, Wuzzy has 11 units of value. Beaver A envies Beaver B if A considers B’s items to have greater total value than A’s own items. All five items must be distributed so that no one envies anyone else. What total value could Fuzzy receive? Select all valid options.
  1. 15
  2. 16
  3. 18
  4. 23