Question 779949
ASSIGN VARIABLES
L = 1%
T = 2%, target value wanted
H = 4%
M = 36 gallons
u = amount of 1%, unknown
v = amount of 4%, unknown


MAKE EQUATIONS
{{{(Lu+Hv)/M=T}}} and {{{u+v=M}}}



SOLVE EQUATIONS FOR EACH UNKNOWN VARIABLE
Meaning, solve for u and v.
{{{(Lu+Hv)/M=T}}} and {{{u+v=M}}}
{{{Lu+Hv=MT}}}, {{{v=M-u}}}
{{{Lu+H(M-u)=MT}}}
{{{Lu+HM-Hu=MT}}}
{{{Lu-Hu=MT-HM}}}
{{{u(L-H)=M(T-H)}}}
{{{u=M(T-H)/(L-H)}}}
and because {{{L<T<H}}}, we multiply top & bottom by {{{-1}}}
{{{highlight(u=M(H-T)/(H-L))}}}
and including the use of the other equation,
{{{highlight(v=M(1-(H-T)/(H-L)))}}} or whichever simpler form you want.



SUBSTITUTE THE KNOWN VALUES