document.write( "Question 295960: How do I solve the following problem? I need 100 pounds of mixed nuts (peanuts and cashews). The peanuts will cost me $3.00 per pound and the cashews will cost me $4.00 per pound. How do I find out how many pounds of each kind of nut I should buy? How can I set up a system of equations to find the correct solution? \n" ); document.write( "

Algebra.Com's Answer #213324 by richwmiller(17219) $\"\"$ $\"About$

You can put this solution on YOUR website!
I think you might be missing some info but let's continue.
\n" ); document.write( "p+c=100
\n" ); document.write( "3*p+4*c=100x
\n" ); document.write( "You are missing the final cost of the mix.
\n" ); document.write( "We have two equations and three unknowns
\n" ); document.write( "We can get it down to one equation and 2 unknowns. But we need at least one equation for each unknown.
\n" ); document.write( "3p+4(100-p)=100x
\n" ); document.write( "We do know that p is less than 100
\n" ); document.write( "and that x is between 3 and 4
\n" ); document.write( "x=4-p/100
\n" ); document.write( "if p=60 then the cost of the mix will be $3.40
\n" ); document.write( "if p=40 then the mix will cost $3.60
\n" ); document.write( "The more peanuts the lower the cost
\n" ); document.write( "The more cashews the higher the cost
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