Finding composition of lead and tin mixture using specific gravity

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Agnostic
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I can not, for the life of me, figure out how to set the following up into a system of equations.

An object composed of x gram-mole of lead (specific gravity 11) and y gram-mole of tin(specific gravity 7) weights 82 gram-moles in air and 77 gram-moles in oil of specific gravity of 1/2. Find x and y.

Finding x and y is simple, if I could figure out the right way to set it up...:(
 
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I would start with a statement of mass addition,
and a statement of volume addition.
The buoyant Force (5gram)g = V*(.5gram/cm^3)g
gives you a way to write the total Volume.
 
I still can't get it to come out to the correct answer...
 
"correct answer" might be wrong.
maybe youmade an algebra mistake...
what have you done so far?