Question 840132
p pounds of peanuts
c pounds of cashews
1 pound of almonds
WANTED:  Mixture of 6 pounds


Account for cost of the mixture:
{{{2.5p+6.5c+8*1=(1+p+c)*5}}}, which uses two variables, p and c.


Account for pounds of the mixture:
{{{1+p+c=6}}}, which again uses just those two variables.


SIMPLIFY EACH EQUATION


{{{2.5p+6.5c+8=5+5p+5c}}}
{{{5p+5c+5=2.5p+6.5c+8}}}
{{{2.5p-1.5c=3}}}
{{{5p-3c=6}}} Cost Equation


{{{p+c+1=6}}}
{{{p+c=6-1}}}
{{{p+c=5}}} Poundage Equation


SOLVE THIS SYSTEM FOR p AND c
----------------
5p-3c=6
----------------
p+c=5
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The HARD PART was analyzing, setting up the equations, and finding the system of equations to solve.  You do the rest.