Question 1136057
<pre>
Mixture Target COST            72         T
Mixture quantity               14         M
Price per pound Peanuts         2         L
Price per pound Fancy nuts      7.5       H
Quantity of Peanuts                        u
Quantity of Fancy Nuts                     v
</pre>


{{{system(u+v=M,Lu+Hv=T)}}}

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{{{u=M-v}}}
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{{{L(M-v)+Hv=T}}}
{{{LM-Lv+Hv=T}}}
{{{Hv-Lv=T-LM}}}
{{{v(H-L)=T-LM}}}

{{{highlight(v=(T-LM)/(H-L))}}}
Substitute the given values and evaluate v; and then use this to evaluate u.