Question 1061254
<pre>
VARIABLE    NUT           PRICE, dollars per ounce
p           peanuts         0.13
c           cashews         0.45
a           almonds         0.50

c=a
</pre>

{{{system(p+c+a=23,0.13p+0.45c+0.5a=6.44,c=a)}}}
Solve the system.


{{{system(p+2c=23,0.13p+0.95c=6.44)}}}


{{{13p+95c=644}}}
-
{{{p=23-2c}}}
-
Substitute for p into the cost or price equation.
{{{13(23-2c)+95c=644}}}
{{{299-26c+95c=644}}}
{{{69c=644-299}}}
{{{69c=345}}}
{{{23c=115}}}
{{{c=115/23}}}
{{{highlight(c=5)}}}-------------and you can find p and a.