document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=891000>Question 891000</A>: <I><SPAN STYLE=\"word-break: break-all;\"> andy has $2.40 in nickels and dimes. Barry has $5.50 in dimes and quarters. Barry has as many nickels as andy has nickels, and he also has as many quarters as andy has dimes. how many nickels and dimes does andy have </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #539427 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=539427\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d%5Bb%5D+ ALIGN=MIDDLE  ALT=\"+d%5Bb%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the number of dimes Barry has<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+q%5Bb%5D+ ALIGN=MIDDLE  ALT=\"+q%5Bb%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the number of quarters Barry has<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n%5Ba%5D+ ALIGN=MIDDLE  ALT=\"+n%5Ba%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the number of nickels Andy has<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d%5Ba%5D+ ALIGN=MIDDLE  ALT=\"+d%5Ba%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the number of dimes Andy has<BR>\n" );
document.write( "--------------------------------------------<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10d%5Bb%5D+%2B+25q%5Bb%5D+=+550+ ALIGN=MIDDLE  ALT=\"+10d%5Bb%5D+%2B+25q%5Bb%5D+=+550+\"   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=+10d%5Ba%5D+%2B+5n%5Ba%5D+=+240+ ALIGN=MIDDLE  ALT=\"+10d%5Ba%5D+%2B+5n%5Ba%5D+=+240+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n%5Bb%5D+=+n%5Ba%5D+ ALIGN=MIDDLE  ALT=\"+n%5Bb%5D+=+n%5Ba%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(4) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+q%5Bb%5D+=+d%5Ba%5D+ ALIGN=MIDDLE  ALT=\"+q%5Bb%5D+=+d%5Ba%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "There are 4 equations and 4 unknowns,<BR>\n" );
document.write( "so it's solvable<BR>\n" );
document.write( "Substitute (4) into (2)<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10d%5Ba%5D+%2B+5n%5Ba%5D+=+240+ ALIGN=MIDDLE  ALT=\"+10d%5Ba%5D+%2B+5n%5Ba%5D+=+240+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10q%5Bb%5D+%2B+5n%5Ba%5D+=+240+ ALIGN=MIDDLE  ALT=\"+10q%5Bb%5D+%2B+5n%5Ba%5D+=+240+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substitute (3) into (2)<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10q%5Bb%5D+%2B+5n%5Ba%5D+=+240+ ALIGN=MIDDLE  ALT=\"+10q%5Bb%5D+%2B+5n%5Ba%5D+=+240+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10q%5Bb%5D+%2B+5n%5Bb%5D+=+240+ ALIGN=MIDDLE  ALT=\"+10q%5Bb%5D+%2B+5n%5Bb%5D+=+240+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5n%5Bb%5D+%2B+10q%5Bb%5D+=+240+ ALIGN=MIDDLE  ALT=\"+5n%5Bb%5D+%2B+10q%5Bb%5D+=+240+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------------------<BR>\n" );
document.write( "Multiply both sides of (2) by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2+ ALIGN=MIDDLE  ALT=\"+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and subtract (2) from (1)<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10d%5Bb%5D+%2B+25q%5Bb%5D+=+550+ ALIGN=MIDDLE  ALT=\"+10d%5Bb%5D+%2B+25q%5Bb%5D+=+550+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-10d%5Bb%5D+-+20q%5Bb%5D+=+-480+ ALIGN=MIDDLE  ALT=\"+-10d%5Bb%5D+-+20q%5Bb%5D+=+-480+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5q%5Bb%5D+=+70+ ALIGN=MIDDLE  ALT=\"+5q%5Bb%5D+=+70+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+q%5Bb%5D+=+14+ ALIGN=MIDDLE  ALT=\"+q%5Bb%5D+=+14+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and, since<BR>\n" );
document.write( "(4) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+q%5Bb%5D+=+d%5Ba%5D+ ALIGN=MIDDLE  ALT=\"+q%5Bb%5D+=+d%5Ba%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(4) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d%5Ba%5D+=+14+ ALIGN=MIDDLE  ALT=\"+d%5Ba%5D+=+14+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "Back to (1)<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10d%5Bb%5D+%2B+25q%5Bb%5D+=+550+ ALIGN=MIDDLE  ALT=\"+10d%5Bb%5D+%2B+25q%5Bb%5D+=+550+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10d%5Bb%5D+%2B+25%2A14+=+550+ ALIGN=MIDDLE  ALT=\"+10d%5Bb%5D+%2B+25%2A14+=+550+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10d%5Bb%5D+=+550+-+350+ ALIGN=MIDDLE  ALT=\"+10d%5Bb%5D+=+550+-+350+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10d%5Bb%5D+=+200+ ALIGN=MIDDLE  ALT=\"+10d%5Bb%5D+=+200+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d%5Bb%5D+=+20+ ALIGN=MIDDLE  ALT=\"+d%5Bb%5D+=+20+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "Back to (2)<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10d%5Ba%5D+%2B+5n%5Ba%5D+=+240+ ALIGN=MIDDLE  ALT=\"+10d%5Ba%5D+%2B+5n%5Ba%5D+=+240+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10%2A14+%2B+5n%5Ba%5D+=+240+ ALIGN=MIDDLE  ALT=\"+10%2A14+%2B+5n%5Ba%5D+=+240+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5n%5Ba%5D+=+240+-+140+ ALIGN=MIDDLE  ALT=\"+5n%5Ba%5D+=+240+-+140+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n%5Ba%5D+=+100%2F5+ ALIGN=MIDDLE  ALT=\"+n%5Ba%5D+=+100%2F5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n%5Ba%5D+=+20+ ALIGN=MIDDLE  ALT=\"+n%5Ba%5D+=+20+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Andy has 20 nickels and 14 dimes<BR>\n" );
document.write( "--------------------------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10d%5Bb%5D+%2B+25q%5Bb%5D+=+550+ ALIGN=MIDDLE  ALT=\"+10d%5Bb%5D+%2B+25q%5Bb%5D+=+550+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10%2A20+%2B+25%2A14+=+550+ ALIGN=MIDDLE  ALT=\"+10%2A20+%2B+25%2A14+=+550+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+200+%2B+350+=+550+ ALIGN=MIDDLE  ALT=\"+200+%2B+350+=+550+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+550+=+550+ ALIGN=MIDDLE  ALT=\"+550+=+550+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK<BR>\n" );
document.write( "You can check the other equations<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );