document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1050541>Question 1050541</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A merchant mixed 10 lb of a cinnamon tea with 2 lb of spice tea. The 12-pound mixture cost $38. A second mixture included 16 lb of the cinnamon tea and 8 lb of the spice tea. The 24-pound mixture cost $80. Find the cost per pound of the cinnamon tea and of the spice tea. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #666109 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=666109\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 10x+2y=38, where x is the dollar cost of cinnamon and y the dollar cost of the spice.<BR>\n" );
document.write( "16x+8y=80<BR>\n" );
document.write( "multiply the top by -4<BR>\n" );
document.write( "-40x-8y=-152<BR>\n" );
document.write( "16x+8y=80.  Add them and y is eliminated.<BR>\n" );
document.write( "-24x=-72<BR>\n" );
document.write( "x=$3<BR>\n" );
document.write( "go to first equation and 30+2y=38, substituting $3 for x.<BR>\n" );
document.write( "2y=8<BR>\n" );
document.write( "y=$4.<BR>\n" );
document.write( "Check using second equation.<BR>\n" );
document.write( "48+32=80<BR>\n" );
document.write( "Cinnamon is $3 per pound<BR>\n" );
document.write( "Spice is $4 per pound. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );