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ITOT 42 Spring 2021 - Junior O (THCS, Basic) - additive practice Question 3

ITOT · ITOT 42 Spring 2021 - Junior O (THCS, Basic) - additive practice

Question 3

Maria has four weights that look the same but have masses 1001 g,1002 g,1004 g and 1005 g. Using a balance scale that distinguishes a heavier pan from equal weights, can she certainly determine the mass of each weight in four weighings? Later weighings may depend on earlier results. (4 points)

Question illustration

Editorial illustration; no extra mathematical assumptions.