document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=184486>Question 184486</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 5.	<BR>\n" );
document.write( "A shopper buys three oranges and five lemons for $10.26, while a second shopper buys four lemons and six oranges for $11.16.  What is the price of each fruit?\r<BR>\n" );
document.write( "\n" );
document.write( "thanks. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #138474 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=138474\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the price of oranges be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Let the price of lemons be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "given:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3a+%2B+5b+=+1026 ALIGN=MIDDLE  ALT=\"3a+%2B+5b+=+1026\"   DISABLED_style= \"max-width:90%; height:auto;\" > (in cents)<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6a+%2B+4b+=+1116 ALIGN=MIDDLE  ALT=\"6a+%2B+4b+=+1116\"   DISABLED_style= \"max-width:90%; height:auto;\" > (in cents)<BR>\n" );
document.write( "First, I will multiply both sides of (1) by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4 ALIGN=MIDDLE  ALT=\"4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and both sides of (2) by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5 ALIGN=MIDDLE  ALT=\"5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12a+%2B+20b+=+4104 ALIGN=MIDDLE  ALT=\"12a+%2B+20b+=+4104\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30a+%2B+20b+=+5580 ALIGN=MIDDLE  ALT=\"30a+%2B+20b+=+5580\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now subtract (1) from (2)<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30a+%2B+20b+=+5580 ALIGN=MIDDLE  ALT=\"30a+%2B+20b+=+5580\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-12a+-+20b+=+-4104 ALIGN=MIDDLE  ALT=\"-12a+-+20b+=+-4104\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18a+=+1476 ALIGN=MIDDLE  ALT=\"18a+=+1476\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+82 ALIGN=MIDDLE  ALT=\"a+=+82\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now plug this back into either equation to find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3a+%2B+5b+=+1026 ALIGN=MIDDLE  ALT=\"3a+%2B+5b+=+1026\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2A82+%2B+5b+=+1026 ALIGN=MIDDLE  ALT=\"3%2A82+%2B+5b+=+1026\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=246+%2B+5b+=+1026 ALIGN=MIDDLE  ALT=\"246+%2B+5b+=+1026\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5b+=+780 ALIGN=MIDDLE  ALT=\"5b+=+780\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+156 ALIGN=MIDDLE  ALT=\"b+=+156\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The price of oranges is 82 cents each. Thw price of<BR>\n" );
document.write( "lemons is $1.56 each<BR>\n" );
document.write( "check answers:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3a+%2B+5b+=+1026 ALIGN=MIDDLE  ALT=\"3a+%2B+5b+=+1026\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2A82+%2B+5%2A156+=+1026 ALIGN=MIDDLE  ALT=\"3%2A82+%2B+5%2A156+=+1026\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=246+%2B+780+=+1026 ALIGN=MIDDLE  ALT=\"246+%2B+780+=+1026\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1026+=+1026 ALIGN=MIDDLE  ALT=\"1026+=+1026\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6a+%2B+4b+=+1116 ALIGN=MIDDLE  ALT=\"6a+%2B+4b+=+1116\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2A82+%2B+4%2A156+=+1116 ALIGN=MIDDLE  ALT=\"6%2A82+%2B+4%2A156+=+1116\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=492+%2B+624+=+1116 ALIGN=MIDDLE  ALT=\"492+%2B+624+=+1116\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1116+=+1116 ALIGN=MIDDLE  ALT=\"1116+=+1116\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );