Is anyone going to address the fact that it can be solved algebraically? given: r = (4x+8y)/(x+y), then... rx+ry=4x+8y, thus rx-4x=8y-ry, thus x(r-4)=y(8-r), thus x = [(8-r)/(r-4)] * y given r=5: x=3y Also, has anyone noticed that the only solution is when you don't treat r as a %? It should be .05 ...