Asked by mitchell

Archimedes used density along with mass and volume of alloys (mixtures) of gold and silver to determine the percent of gold (and also silver) in these alloys by simple, non-destructive measurements.

Prove that the mass of gold in a given mass of silver alloy is given by the equation:

MAu= (Malloy-Valloy PAg) * PAu/(PAu-PAg)


You will need to set up two simultaneous equations in two unknowns that include the densities of sliver and gold, and the weight and volume of the alloy!

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