Finding the mass of two metals in an alloy

[Mikiil]

Homework Statement

I need to solve this equation for homework however i do not know how.

The weight of an alloy made up of gold and silver is G=0,292N.If we submerge that alloy in water its weight becomes G=0.272N.Find the mass of the gold and the mass of the silver in the alloy.The density of gold is p=19300kg/m3 and the density of the silver is p=10500kg/m3.

Relevant Equations

G1=0,292N
G2=0.272N
p1=19300km/m3
p2=10500km/m3
m1=?
m2=?

I looked for solutions on the internet but all of them had given mass and looked for volume , but that isn't given here.
I tried something like subtracting the two weights or trying to find mass from the weight but i can't find the correct awnser

 

[haruspex]

Work it backwards. If the masses are m1 and m2, what would the weight be in air? What would their volumes be? What would it weigh in water?

 

[Eberhard]

You can calculate the volume from the buoyancy. Then probably the assumption is made that the volume of the alloy is composed of the mixing ratio of the two parts, is a simplification because the alloy will have a greater density.
Volume(alloy)=Volume(Au)+Volume(Ag).
So set up the mixing formula and convert according to one of the volumes you are looking for and calculate.
It would be easier to search in a table book for the appropriate density of an Au-Ag alloy.