document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=127917>Question 127917</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Keil is going to make 13 pounds of mixed nuts for a party.  Peanuts cost $3.50 per pound and fancy nuts cost $7.50 per pound.  If Keil can spend $85.50 on nuts, how many pounds of each should he buy? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #93691 by </B><A HREF=/tutors/aboutme.mpl?userid=mr.barrett><B>mr.barrett(5)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mr.barrett><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://mrbarrett.info/wp-content/uploads/2007/11/face.jpg valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=93691\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The question is asking \"how many pounds of each should she buy?\"  That tells us what our variables should be.<BR>\n" );
document.write( "<br><BR>\n" );
document.write( "x=pounds of peanuts<BR>\n" );
document.write( "y=pounds of fancy nuts<BR>\n" );
document.write( "<br><BR>\n" );
document.write( "x + y = 13                    (equation 1)<BR>\n" );
document.write( "3.50x + 7.50y = 85.50         (equation 2)<BR>\n" );
document.write( "<br><BR>\n" );
document.write( "Solve this system of equations.  I'll do it by substitution here.\r<BR>\n" );
document.write( "\n" );
document.write( "From equation 1,   y = 13 - x.<BR>\n" );
document.write( "By substitution into equation 2, 3.50x + 7.50(13 - x) = 85.50<BR>\n" );
document.write( "<br><BR>\n" );
document.write( "Solving for x we get x=3.<BR>\n" );
document.write( "<br><BR>\n" );
document.write( "Substitute 3 for x into equation 1 to solve for y, and y=13. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );