document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=666034>Question 666034</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A jar filled with change is holding 5.45 and has 41 coins.  There are nickles dimes and quarters.  If we remove the nickles, the remaining coins have a value of 4.55.  How many type of each coin were there originally?  Please set up a system of 3 equations and solve to answer this question.  Please show work. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #414232 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=414232\">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=+n+ ALIGN=MIDDLE  ALT=\"+n+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = number of nickels<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+ ALIGN=MIDDLE  ALT=\"+d+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = number of dimes<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+q+ ALIGN=MIDDLE  ALT=\"+q+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = number of quarters<BR>\n" );
document.write( "---------------------------<BR>\n" );
document.write( "given:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+%2B+d+%2B+q+=+41+ ALIGN=MIDDLE  ALT=\"+n+%2B+d+%2B+q+=+41+\"   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+%2B+10d+%2B+25q+=+545+ ALIGN=MIDDLE  ALT=\"+5n+%2B+10d+%2B+25q+=+545+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10d+%2B+25q+=+455+ ALIGN=MIDDLE  ALT=\"+10d+%2B+25q+=+455+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "Multiply both sides of (1) by 5 and<BR>\n" );
document.write( "subtract (1) from (2)<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5n+%2B+10d+%2B+25q+=+545+ ALIGN=MIDDLE  ALT=\"+5n+%2B+10d+%2B+25q+=+545+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-5n+-+5d+-+5q+=+-205+ ALIGN=MIDDLE  ALT=\"+-5n+-+5d+-+5q+=+-205+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5d+%2B+20q+=+340+ ALIGN=MIDDLE  ALT=\"+5d+%2B+20q+=+340+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides 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( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10d+%2B+40q+=+680+ ALIGN=MIDDLE  ALT=\"+10d+%2B+40q+=+680+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Subtract (3) from this<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10d+%2B+40q+=+680+ ALIGN=MIDDLE  ALT=\"+10d+%2B+40q+=+680+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-10d+-+25q+=+-455+ ALIGN=MIDDLE  ALT=\"+-10d+-+25q+=+-455+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+15q+=+225+ ALIGN=MIDDLE  ALT=\"+15q+=+225+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+q+=+15+ ALIGN=MIDDLE  ALT=\"+q+=+15+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10d+%2B+25%2A15+=+455+ ALIGN=MIDDLE  ALT=\"+10d+%2B+25%2A15+=+455+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10d+%2B+375+=+455+ ALIGN=MIDDLE  ALT=\"+10d+%2B+375+=+455+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10d+=+80+ ALIGN=MIDDLE  ALT=\"+10d+=+80+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+8+ ALIGN=MIDDLE  ALT=\"+d+=+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+%2B+d+%2B+q+=+41+ ALIGN=MIDDLE  ALT=\"+n+%2B+d+%2B+q+=+41+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+%2B+8+%2B+15+=+41+ ALIGN=MIDDLE  ALT=\"+n+%2B+8+%2B+15+=+41+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+41+-+23+ ALIGN=MIDDLE  ALT=\"+n+=+41+-+23+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+18+ ALIGN=MIDDLE  ALT=\"+n+=+18+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The number of nickels is 18<BR>\n" );
document.write( "The number of dimes is 8<BR>\n" );
document.write( "The number of quarters is 15<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5n+%2B+10d+%2B+25q+=+545+ ALIGN=MIDDLE  ALT=\"+5n+%2B+10d+%2B+25q+=+545+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5%2A18+%2B+10%2A8+%2B+25%2A15+=+545+ ALIGN=MIDDLE  ALT=\"+5%2A18+%2B+10%2A8+%2B+25%2A15+=+545+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+90+%2B+80+%2B+375+=+545+ ALIGN=MIDDLE  ALT=\"+90+%2B+80+%2B+375+=+545+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+545+=+545+ ALIGN=MIDDLE  ALT=\"+545+=+545+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );