Question 1129723
The description could as well be:
Nutty Professor sells cashews for $ L per pound and Brazil nuts for $ H per pound. How much of each type should be used to make a M pound mixture that sells for $ T per pound?


x, amount of the more expensive item
M-x, amount of the less expensive item

L, price per pound less expensive item
H, price per pound more expensive item
T, target price for mix


{{{Hx+L(M-x)=TM}}}, equation to account for the cost of the mixture.

{{{Hx+LM-Lx=TM}}}

{{{Hx-Lx=TM-LM}}}

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

{{{highlight(x=(TM-LM)/(H-L))}}}


Substitute the given values for M, T, H, and L.  Evaluate x and M-x.