document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1206282>Question 1206282</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A store is having a sale on trail mix and jelly beans. For  2 pounds of trail mix and  3 pounds of jelly beans, the total cost is 14 $. For 6  pounds of trail mix and  5 pounds of jelly beans, the total cost is 28$ . Find the cost for each pound of trail mix and each pound of jelly beans. <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #843604 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=843604\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "x = cost of 1 pound of trail mix<BR>\n" );
document.write( "y = cost of 1 pound of jelly beans\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The given sentences translate to the following system<BR>\n" );
document.write( "2x+3y = 14<BR>\n" );
document.write( "6x+5y = 28\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Let's triple both sides of the 1st equation<BR>\n" );
document.write( "2x+3y = 14<BR>\n" );
document.write( "3*(2x+3y) = 3*14<BR>\n" );
document.write( "6x+9y = 42\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The original system updates to this<BR>\n" );
document.write( "6x+9y = 42<BR>\n" );
document.write( "6x+5y = 28\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Subtract straight down.<BR>\n" );
document.write( "The x terms cancel out.<BR>\n" );
document.write( "The y terms subtract to 4y.<BR>\n" );
document.write( "The right hand sides subtract to 14\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Solving 4y = 14 leads to y = 3.50<BR>\n" );
document.write( "Then use that value of y to find x.<BR>\n" );
document.write( "2x+3y = 14<BR>\n" );
document.write( "2x+3*3.5 = 14<BR>\n" );
document.write( "2x+10.5 = 14<BR>\n" );
document.write( "2x = 14-10.5<BR>\n" );
document.write( "2x = 3.5<BR>\n" );
document.write( "x = 3.5/2<BR>\n" );
document.write( "x = 1.75\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Answers:<BR>\n" );
document.write( "Cost of one pound of trail mix = <font color=red>$1.75</font><BR>\n" );
document.write( "Cost of one pound of jelly beans = <font color=red>$3.50</font><BR>\n" );
document.write( "</font><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );