MathDB
nuggets containing gold

Source: Moldova NMO 2002 grade 10 problem nr.1

November 3, 2008

Problem Statement

We are given three nuggets of weights 1 1 kg, 2 2 kg and 3 3 kg, containing different percentages of gold, and need to cut each nugget into two parts so that the obtained parts can be alloyed into two ingots of weights 1 1 kg ande 5 5 kg containing the same proportion of gold. How we can do that?