document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=930373>Question 930373</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have posted about this problem once and it was said to not be able to be solved but it is to be solved because it is a specific question I need help with. please and thank you if you can help me!!\r<BR>\n" );
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document.write( "Create a trail mix with three ingredients; peanuts, fruit, and cashews. The cost per pound of peanuts are $3, fruit $6, and cashews $3. One ingredient must have twice the weight of other two. (that part can be made up, I was not sure what to make those numbers). using systems of equations and or matrices how many pounds of each should be used to make a 140 lb mix at 6$ a pound? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #564908 by </B><A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><B>TimothyLamb(4379)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=TimothyLamb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=564908\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x = pounds of peanuts<BR>\n" );
document.write( "y = pounds of fruit<BR>\n" );
document.write( "z = pounds of cashews<BR>\n" );
document.write( "---<BR>\n" );
document.write( "\"one ingredient must have twice the weight of other two\" ...<BR>\n" );
document.write( "arbitrarily choose the weight of peanuts to be twice the sum of the weights of fruit and cashews:<BR>\n" );
document.write( "x = 2(y + z)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "sum of weights:<BR>\n" );
document.write( "x + y + z = 140<BR>\n" );
document.write( "---<BR>\n" );
document.write( "sum of costs:<BR>\n" );
document.write( "3x + 6y + 3z = 6*140<BR>\n" );
document.write( "---<BR>\n" );
document.write( "put the system of linear equations into standard form<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x = 2y + 2z<BR>\n" );
document.write( "x + y + z = 140<BR>\n" );
document.write( "3x + 6y + 3z = 840<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x - 2y - 2z = 0<BR>\n" );
document.write( "x + y + z = 140<BR>\n" );
document.write( "3x + 6y + 3z = 840<BR>\n" );
document.write( "---<BR>\n" );
document.write( "copy and paste the above standard form linear equations in to this solver:<BR>\n" );
document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "solution:<BR>\n" );
document.write( "x = pounds of peanuts = 93.333333<BR>\n" );
document.write( "y = pounds of fruit = 140<BR>\n" );
document.write( "z = pounds of cashews = -93.333333<BR>\n" );
document.write( "---<BR>\n" );
document.write( "as you can see, pounds of cashews comes out negative, which is impossible in real life.<BR>\n" );
document.write( "this means that the problem statement is fundamentally incorrect.<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve and graph linear equations:<BR>\n" );
document.write( "https://sooeet.com/math/linear-equation-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve quadratic equations, quadratic formula:<BR>\n" );
document.write( "https://sooeet.com/math/quadratic-formula-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve systems of linear equations up to 6-equations 6-variables:<BR>\n" );
document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php<BR>\n" );
document.write( "--- </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );