I'm not sure how best to explain this so please ask questions to help clarify. I'm trying to find a solution to the following formula, where I know there are multiple "correct" solutions.
Essentially I have three materials, each having a different density. They need to be mixed in some proportion to create the mean density provided.
Formula for density is: $d = m/v$, or $density = {mass \over volume}$
$x$ has a mass of $8g/cm^3$
$y$ has a mass of $3g/cm^3$
$z$ has a mass of $1g/cm^3$, therefore:
$m = 8x + 3y + 1z$
$v = x + y + z$
$d = 5.515g/cm^3$
$5.515 = {8x + 3y + 1z \over x + y + z}$
How do I go about solving this? I can approximate it by plugging into values randomly ($x=3, y=1, z=1$), but is there a more exacting process?