Question 1142752
L=10, low conc peanuts  (%)
H=40,  high conc peanuts
T=25,  target conc.
M=10,  pounds of nut mixture
v, unknown amount of the H percent peanut mixture
M-v, unknown amount of the L percent mix


{{{highlight_green(L(M-v)+Hv=TM)}}}
Solve for v.


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{{{LM-Lv+Hv=TM}}}
{{{Hv-Lv+LM=TM}}}
{{{v(H-L)+LM=TM}}}

{{{v(H-L)=TM-LM}}}

{{{v=(TM-LM)/(H-L)}}}

{{{highlight(v=M((T-L)/(H-L)))}}}--------notice that upon substitution of givens, M is multiplied by what may be a fairly simple fraction.


ALSO notice that  25% is exactly in the middle of 10% and 40%.
Use 5 pounds of the 10% peanuts and use 5 pounds of the 40% peanuts.