document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=31487>Question 31487</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have 30 coins, all nickels, dimes, and quarters worth $4.60.  There are three times as many quarters as nickels and two more dimes than quarters.  How many of each kind of coin do I have? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #18158 by </B><A HREF=/tutors/aboutme.mpl?userid=Cintchr><B>Cintchr(481)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Cintchr><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=18158\">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=+Q+%2B+N+%2B+D+=+30+ ALIGN=MIDDLE  ALT=\"+Q+%2B+N+%2B+D+=+30+\"   DISABLED_style= \"max-width:90%; height:auto;\" > I have 30 coins, all nickels, dimes, and quarters<BR>\n" );
document.write( "2. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+N+=+1Q%2F3+ ALIGN=MIDDLE  ALT=\"+N+=+1Q%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" > three times as many quarters as nickels <BR>\n" );
document.write( "3. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+D+=+Q+%2B+2+ ALIGN=MIDDLE  ALT=\"+D+=+Q+%2B+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > two more dimes than quarters<BR>\n" );
document.write( "4. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.25Q+%2B+.05N+%2B+.10D+=+4.60+ ALIGN=MIDDLE  ALT=\"+.25Q+%2B+.05N+%2B+.10D+=+4.60+\"   DISABLED_style= \"max-width:90%; height:auto;\" > nickels, dimes, and quarters worth $4.60.<BR>\n" );
document.write( "Take the 2nd and third equations and substitute them into the first.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1Q+%2B+1Q%2F3+%2B+1Q+%2B+2+=+30+ ALIGN=MIDDLE  ALT=\"+1Q+%2B+1Q%2F3+%2B+1Q+%2B+2+=+30+\"   DISABLED_style= \"max-width:90%; height:auto;\" > combine like terms<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+7Q%2F3+%2B+2+=+30+ ALIGN=MIDDLE  ALT=\"+7Q%2F3+%2B+2+=+30+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+7Q%2F3+=+28+ ALIGN=MIDDLE  ALT=\"+7Q%2F3+=+28+\"   DISABLED_style= \"max-width:90%; height:auto;\" > multiply both sides by 3/7<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%287Q%2F3%29%283%2F7%29+=+28%283%2F7%29+ ALIGN=MIDDLE  ALT=\"+%287Q%2F3%29%283%2F7%29+=+28%283%2F7%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+Q+=+12+ ALIGN=MIDDLE  ALT=\"+Q+=+12+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug this into the second and third equations<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+N+=+1%2812%29%2F3+ ALIGN=MIDDLE  ALT=\"+N+=+1%2812%29%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" > snd <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+D+=+12+%2B+2+ ALIGN=MIDDLE  ALT=\"+D+=+12+%2B+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+N+=+4+ ALIGN=MIDDLE  ALT=\"+N+=+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+D+=+14+ ALIGN=MIDDLE  ALT=\"+D+=+14+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "plug the value of Q, N and D into the first equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+Q+%2B+N+%2B+D+=+30+ ALIGN=MIDDLE  ALT=\"+Q+%2B+N+%2B+D+=+30+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+12+%2B+4+%2B+14+=+30+ ALIGN=MIDDLE  ALT=\"+12+%2B+4+%2B+14+=+30+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+30+=+30+ ALIGN=MIDDLE  ALT=\"+30+=+30+\"   DISABLED_style= \"max-width:90%; height:auto;\" > TRUE!!<BR>\n" );
document.write( "Now plug all three into the 4th equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.25Q+%2B+.05N+%2B+.10D+=+4.60+ ALIGN=MIDDLE  ALT=\"+.25Q+%2B+.05N+%2B+.10D+=+4.60+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.25%2812%29+%2B+.05%284%29+%2B+.10%2814%29+=+4.60+ ALIGN=MIDDLE  ALT=\"+.25%2812%29+%2B+.05%284%29+%2B+.10%2814%29+=+4.60+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3+%2B+0.20+%2B+1.40+=+4.60+ ALIGN=MIDDLE  ALT=\"+3+%2B+0.20+%2B+1.40+=+4.60+\"   DISABLED_style= \"max-width:90%; height:auto;\" > add<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4.60+=+4.60+ ALIGN=MIDDLE  ALT=\"+4.60+=+4.60+\"   DISABLED_style= \"max-width:90%; height:auto;\" > TRUE<BR>\n" );
document.write( "Q = 12<BR>\n" );
document.write( "D = 14<BR>\n" );
document.write( "N = 4\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );