Question 769271
ASSIGN VARIABLES TO ALL QUANTITIES
L, the lower concentration of available material
H, the higher concentration of available material
T, the target concentration of resulting mixture
x, the amount of lower concentrated material to use, unknown
y, the amount of higher concentrated materaial to use, unknown
M, amount of the resulting mixture


FORM EQUATIONS
{{{highlight((Lx+yH)/M=T)}}}
{{{highlight(x+y=M)}}}


Most of the symbolic solution process:
{{{(Lx+yH)/M=T}}}
{{{Lx+yH=TM}}}
{{{Lx+(M-x)H=TM}}}
{{{Lx+HM-Hx=TM}}}
{{{(L-H)x+HM=TM}}}
{{{(L-H)x=TM-HM}}}
{{{(L-H)x=(T-H)M}}}
{{{x=M(T-H)/(L-H)}}}, and since the two differences here would both be negative, 
we can multiply by (-1)/(-1),
{{{x=M(H-T)/(H-L)}}}


Do what you need to find y.
Substitute given values for finding values of x and y.