document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=151377>Question 151377</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A merchant sold his entire stock of shirts and ties for $1000, the shirts being priced at 3 for $10 and the ties at $2 each. If he had sold only 1/2 of the shirts and 2/3 of the ties he would have collected $600. How many of each kind did he sell? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #111284 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=111284\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A merchant sold his entire stock of shirts and ties for $1000, the shirts being priced at 3 for $10 and the ties at $2 each. If he had sold only 1/2 of the shirts and 2/3 of the ties he would have collected $600. How many of each kind did he sell?<BR>\n" );
document.write( ";<BR>\n" );
document.write( "Let x = no. of shirts sold<BR>\n" );
document.write( "let y = no. of ties<BR>\n" );
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document.write( "\"A merchant sold his entire stock of shirts and ties for $1000, the shirts being priced at 3 for $10 and the ties at $2 each\"<BR>\n" );
document.write( "10(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F3 ALIGN=MIDDLE  ALT=\"x%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >) + 2y = 1000<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2810x%29%2F3 ALIGN=MIDDLE  ALT=\"%2810x%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 2y = 1000<BR>\n" );
document.write( "multiply equation by 3 to get rid of the denominator<BR>\n" );
document.write( "10x + 6y = 3000; (1st equation)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\"If he had sold only 1/2 of the shirts and 2/3 of the ties he would have collected $600. How many of each kind did he sell?\"<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2810x%29%2F3 ALIGN=MIDDLE  ALT=\"%2810x%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >*2y = 600<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2810x%29%2F6 ALIGN=MIDDLE  ALT=\"%2810x%29%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284y%29%2F3 ALIGN=MIDDLE  ALT=\"%284y%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 600<BR>\n" );
document.write( "Reduce fraction<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285x%29%2F3 ALIGN=MIDDLE  ALT=\"%285x%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284y%29%2F3 ALIGN=MIDDLE  ALT=\"%284y%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 600<BR>\n" );
document.write( "Multiply equation by 3 to get rid of the denominator<BR>\n" );
document.write( "5x + 4y = 1800<BR>\n" );
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document.write( "multiply above equation by 2 and subtract the 1st equation:<BR>\n" );
document.write( "10x + 8y = 3600<BR>\n" );
document.write( "10x + 6y = 3000<BR>\n" );
document.write( "-----------------subtraction eliminates x<BR>\n" );
document.write( "0x + 2y = 600<BR>\n" );
document.write( "y = 300 ties sold<BR>\n" );
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document.write( "Find x, use eq: 10x + 6y = 3000<BR>\n" );
document.write( "10x + 6(300) = 3000<BR>\n" );
document.write( "10x + 1800 = 3000<BR>\n" );
document.write( "10x = 3000 - 1800<BR>\n" );
document.write( "10x = 3000 - 1800<BR>\n" );
document.write( "10x = 1200<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1200%2F10 ALIGN=MIDDLE  ALT=\"1200%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 120 shirts sold<BR>\n" );
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document.write( "Check solution in <BR>\n" );
document.write( "5x + 4y = 1800<BR>\n" );
document.write( "5(120) + 4(300) = <BR>\n" );
document.write( "600 + 1200 = 1800 </SPAN>\n" );
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