document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1206418>Question 1206418</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A shop owner paid a total of $2385 for some shirts and ties. Each shirt cost $14 less than each tie. The number of ties bought was 2/3 of the number of shirts bought. He paid $127.80 more for the ties than the shirts.\r<BR>\n" );
document.write( "\n" );
document.write( "(a) How much did he pay for all the shirts?<BR>\n" );
document.write( "(b) How many ties did he buy? </SPAN>\n" );
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document.write( "The number of ties he bought is 2/3 the number of shirts, so...<br><BR>\n" );
document.write( "Let 3x = # of shirts<BR>\n" );
document.write( "then 2x = # of ties<br><BR>\n" );
document.write( "Let y = price of each shirt<BR>\n" );
document.write( "then y+14 = price of each tie<br><BR>\n" );
document.write( "The total cost was $2385:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%29%28y%29%2B%282x%29%28y%2B14%29=2385 ALIGN=MIDDLE  ALT=\"%283x%29%28y%29%2B%282x%29%28y%2B14%29=2385\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5xy%2B28x=2385 ALIGN=MIDDLE  ALT=\"5xy%2B28x=2385\"   DISABLED_style= \"max-width:90%; height:auto;\" > [1]<br><BR>\n" );
document.write( "The ties cost $127.80 more than the shirts:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%29%28y%2B14%29-%283x%29%28y%29=127.8 ALIGN=MIDDLE  ALT=\"%282x%29%28y%2B14%29-%283x%29%28y%29=127.8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-xy%2B28x=127.8 ALIGN=MIDDLE  ALT=\"-xy%2B28x=127.8\"   DISABLED_style= \"max-width:90%; height:auto;\" > [2]<br><BR>\n" );
document.write( "Multiply [2] by 5 and add to [1] to eliminate the xy terms to solve for x<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5xy%2B140x=639 ALIGN=MIDDLE  ALT=\"-5xy%2B140x=639\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=168x=3024 ALIGN=MIDDLE  ALT=\"168x=3024\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=3024%2F168=18 ALIGN=MIDDLE  ALT=\"x=3024%2F168=18\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The number of shirts was 3x = 54<BR>\n" );
document.write( "The number of ties was 2x = 36<br><BR>\n" );
document.write( "Substitute x=18 in [1] to solve for y<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90y%2B504=2385 ALIGN=MIDDLE  ALT=\"90y%2B504=2385\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90y=1881 ALIGN=MIDDLE  ALT=\"90y=1881\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=1881%2F90=20.9 ALIGN=MIDDLE  ALT=\"y=1881%2F90=20.9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The price of each shirt was y = $20.90<BR>\n" );
document.write( "The price of each tie was y+14 = $34.90<br><BR>\n" );
document.write( "ANSWERS:<BR>\n" );
document.write( "(a) total cost of the shirts: 54($20.90) = $1128.60<BR>\n" );
document.write( "(b) number of ties: 36<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );