An alloy of gold and silver weighing 500 g has a density of 14 g / cm3. determine the mass of gold in the alloy

An alloy of gold and silver weighing 500 g has a density of 14 g / cm3. determine the mass of gold in the alloy. (take into account that the volume of the alloy is equal to the sum of the volumes of its constituent parts) Density of silver 10 500 kg / m3, gold 19 300 kg / m3

Given m = 500 g p = 14 g p1 = 10.5 g / cm3 p2 = 19.3 g / cm3 m2-?
m = m1 + m2 = p1 * V1 + m2
V = V1 + V2 V1 = V-V2 = m / p -m2 / p2
m = p1 * m / p-m2 * p1 / p2 + m2
m2 = m * (1-p1 / p) / (1-p1 / p2) = 500 * (1-10.5 / 14) / (1-10.5 / 19) = 500 * 0.25 / 0.447 = 280 g