document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1080739>Question 1080739</A>: <I><SPAN STYLE=\"word-break: break-all;\">  From a pile of coins containing nickels (N), dimes (D) and quarters (Q), Tom picked 10 coins with a total value of $1.00.  The 10 coins had a different huber of each of the three types of coins and at least 1 coin of each type.  How many coins of each type did he pick? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #694878 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=694878\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10d+%2B+5n+%2B+25q+=+100+ ALIGN=MIDDLE  ALT=\"+10d+%2B+5n+%2B+25q+=+100+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+%2B+n+%2B+q+=+10+ ALIGN=MIDDLE  ALT=\"+d+%2B+n+%2B+q+=+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "I have to look at 3 cases:<BR>\n" );
document.write( "1 quarter<BR>\n" );
document.write( "2 quarters<BR>\n" );
document.write( "3 quarters<BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "Case 1:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+q+=+1+ ALIGN=MIDDLE  ALT=\"+q+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The equations are:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10d+%2B+5n+%2B+25%2A1+=+100+ ALIGN=MIDDLE  ALT=\"+10d+%2B+5n+%2B+25%2A1+=+100+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+%2B+n+%2B+1+=+10+ ALIGN=MIDDLE  ALT=\"+d+%2B+n+%2B+1+=+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+9+-+n+ ALIGN=MIDDLE  ALT=\"+d+=+9+-+n+\"   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%2A%28+9-n+%29+%2B+5n+%2B+25+=+100+ ALIGN=MIDDLE  ALT=\"+10%2A%28+9-n+%29+%2B+5n+%2B+25+=+100+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+90+-+10n+%2B+5n+=+75+ ALIGN=MIDDLE  ALT=\"+90+-+10n+%2B+5n+=+75+\"   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+=+15+ ALIGN=MIDDLE  ALT=\"+5n+=+15+\"   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+=+3+ ALIGN=MIDDLE  ALT=\"+n+=+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+9+-+n+ ALIGN=MIDDLE  ALT=\"+d+=+9+-+n+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+9+-+3+ ALIGN=MIDDLE  ALT=\"+d+=+9+-+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+6+ ALIGN=MIDDLE  ALT=\"+d+=+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "There are:<BR>\n" );
document.write( "1 quarter<BR>\n" );
document.write( "3 nickels <BR>\n" );
document.write( "6 dimes<BR>\n" );
document.write( "I don't have to go any further -this solves it<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+%2B+5n+%2B+25q+=+100+ ALIGN=MIDDLE  ALT=\"+10d+%2B+5n+%2B+25q+=+100+\"   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%2A6+%2B+5%2A3+%2B+25%2A1+=+100+ ALIGN=MIDDLE  ALT=\"+10%2A6+%2B+5%2A3+%2B+25%2A1+=+100+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+60+%2B+15+%2B+25+=+100+ ALIGN=MIDDLE  ALT=\"+60+%2B+15+%2B+25+=+100+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+100+=+100+ ALIGN=MIDDLE  ALT=\"+100+=+100+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );