For the ρ, I have:
ρg + a = [(WG + WA) / (WG*ρA + WA*ρG)] * (ρG + ρA)
So I will equate it with ρw * W/(W-T) and then I should get the correct answer right?
I've read it and I have come to this.
Like you said, I only started with the aluminium
ρa/ρw = W/(W-T)
This leads to
W - [(ρa/ρw) * (W - T)] = 0
This comes pretty close to the answer in my book:
Wg = (ρg / (ρg - ρalu)) * (W - (ρa/ρw) * (W - T))