document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1012424>Question 1012424</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If I buy 3 pounds of jelly beans and 8 pounds of trail mix it costs $23.00 but if i buy 5 pounds of jelly beans and 2 pounds of trail mix it costs $10.00 how much do jelly beans and trail mix cost on their own per pound? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #628344 by </B><A HREF=/tutors/aboutme.mpl?userid=fractalier><B>fractalier(6550)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fractalier><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=fractalier><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=628344\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Call the cost of a pound of jelly beans, j.<BR>\n" );
document.write( "Call the cost of a pound of trail mix, t.<BR>\n" );
document.write( "Then we can write two equations...we will work in cents...<BR>\n" );
document.write( "3j + 8t = 2300<BR>\n" );
document.write( "5j + 2t = 1000<BR>\n" );
document.write( "Let us multiply the bottom one by four and subtract it from the top one...<BR>\n" );
document.write( "3j + 8t = 2300<BR>\n" );
document.write( "-(20j + 8t = 4000)<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "-17j = -1700<BR>\n" );
document.write( "j = 100 ($1.00 a pound for jelly beans)<BR>\n" );
document.write( "Now plug that in to the first equation and get<BR>\n" );
document.write( "3(100) + 8t = 2300<BR>\n" );
document.write( "300 + 8t = 2300<BR>\n" );
document.write( "8t = 2000<BR>\n" );
document.write( "t = 250 ($2.50 a pound for trail mix) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );