document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=990746>Question 990746</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Mary has $6.00 in nickels, dimes, and quarters. If she has twice as many dimes as quarters and eighty-seven more nickels than dimes, how many coins of each type does she have? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #610742 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=610742\">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( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5n+%2B+10d+%2B+25q+=+600+ ALIGN=MIDDLE  ALT=\"+5n+%2B+10d+%2B+25q+=+600+\"   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=+d+=+2q+ ALIGN=MIDDLE  ALT=\"+d+=+2q+\"   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+=+d+%2B+87+ ALIGN=MIDDLE  ALT=\"+n+=+d+%2B+87+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "There are 3 equations and 3 unknowns, so it's solvable<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+q+=+d%2F2+ ALIGN=MIDDLE  ALT=\"+q+=+d%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substitute (2) and (3) into (1)<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5%2A%28+d%2B87+%29+%2B+10d+%2B+25%2A%28d%2F2%29+=+600+ ALIGN=MIDDLE  ALT=\"+5%2A%28+d%2B87+%29+%2B+10d+%2B+25%2A%28d%2F2%29+=+600+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5d+%2B+435+%2B+10d+%2B+%281%2F2%29%2A25d+=+600+ ALIGN=MIDDLE  ALT=\"+5d+%2B+435+%2B+10d+%2B+%281%2F2%29%2A25d+=+600+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sids 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( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10d+%2B+870+%2B+20d+%2B+25d+=+1200+ ALIGN=MIDDLE  ALT=\"+10d+%2B+870+%2B+20d+%2B+25d+=+1200+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+55d+=+330+ ALIGN=MIDDLE  ALT=\"+55d+=+330+\"   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+=+6+ ALIGN=MIDDLE  ALT=\"+d+=+6+\"   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=+q+=+d%2F2+ ALIGN=MIDDLE  ALT=\"+q+=+d%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+q+=+6%2F2+ ALIGN=MIDDLE  ALT=\"+q+=+6%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+q+=+3+ ALIGN=MIDDLE  ALT=\"+q+=+3+\"   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=+n+=+d+%2B+87+ ALIGN=MIDDLE  ALT=\"+n+=+d+%2B+87+\"   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+=+6+%2B+87+ ALIGN=MIDDLE  ALT=\"+n+=+6+%2B+87+\"   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+=+93+ ALIGN=MIDDLE  ALT=\"+n+=+93+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "There are 93 nickels<BR>\n" );
document.write( "There are 6 dimes<BR>\n" );
document.write( "There are 3 quarters<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=+5n+%2B+10d+%2B+25q+=+600+ ALIGN=MIDDLE  ALT=\"+5n+%2B+10d+%2B+25q+=+600+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5%2A93+%2B+10%2A6+%2B+25%2A3+=+600+ ALIGN=MIDDLE  ALT=\"+5%2A93+%2B+10%2A6+%2B+25%2A3+=+600+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+465+%2B+60+%2B+75+=+600+ ALIGN=MIDDLE  ALT=\"+465+%2B+60+%2B+75+=+600+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+600+=+600+ ALIGN=MIDDLE  ALT=\"+600+=+600+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );