Question 788836
Mixture problem.  The concentration is in the form of dollars per pound.


H = 4.25 dollars per pound, Cashews
T = 3.00 dollars per pound, Mixture
L = 2.75 dollars per pound, Peanuts
M = 60 pounds, amount of mixture
u = amount of peanuts in pounds, UNKNOWN
v = amount of cashews, UNKNOWN


The equations which make this system are:
{{{(Lu+Hv)/M=T}}} and {{{u+v=M}}}
Solve this system for the unknown variables, u and v.


WHY EVERYTHING IN SYMBOLS?
Very many two-part mixture problems are this same general type.  When you recognize them, solving this general problem will also give the solutions to every example of this type.  No matter if an example of cement & sand; dyes in solution, percent salt, percent acid mixture, percent acid mixture, or blends of materials with different prices,... all the same.  


Tell me if you have further trouble with this.