document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=742235>Question 742235</A>: <I><SPAN STYLE=\"word-break: break-all;\"> John has a collection of nickels,dimes, and quarters. Altogether, there are 241 coins worth $26.20. There are 4 more nickels than dimes. How many of each type of coin are in the collection.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #452381 by </B><A HREF=/tutors/aboutme.mpl?userid=tommyt3rd><B>tommyt3rd(5050)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=tommyt3rd><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=tommyt3rd><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=452381\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> # of Coins: N-nickels, D-dimes, Q-quarters\r<BR>\n" );
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document.write( "there are 241 coins - means <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N%2BD%2BQ=241 ALIGN=MIDDLE  ALT=\"N%2BD%2BQ=241\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "worth $26.20 - means <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.05N%2B0.10D%2B0.25Q=%2426.20 ALIGN=MIDDLE  ALT=\"0.05N%2B0.10D%2B0.25Q=%2426.20\"   DISABLED_style= \"max-width:90%; height:auto;\" >, but if we multiply 20 we get\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N%2B2D%2B5Q=524 ALIGN=MIDDLE  ALT=\"N%2B2D%2B5Q=524\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "There are 4 more nickels than dimes means <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%2B4=N ALIGN=MIDDLE  ALT=\"D%2B4=N\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So we have 3 equations and 3 unknowns:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N%2B2D%2B5Q=524 ALIGN=MIDDLE  ALT=\"N%2B2D%2B5Q=524\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N%2BD%2BQ=241 ALIGN=MIDDLE  ALT=\"N%2BD%2BQ=241\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%2B4=N ALIGN=MIDDLE  ALT=\"D%2B4=N\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So we begin...\r<BR>\n" );
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document.write( "5 times the second equation minus the first equation will eliminate Q:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%28N%2BD%2BQ%29-%28N%2B2D%2B5Q%29=5%28241%29-524 ALIGN=MIDDLE  ALT=\"5%28N%2BD%2BQ%29-%28N%2B2D%2B5Q%29=5%28241%29-524\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5N%2B5D%2B5Q-N-2D-5Q=681 ALIGN=MIDDLE  ALT=\"5N%2B5D%2B5Q-N-2D-5Q=681\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4N%2B3D=681 ALIGN=MIDDLE  ALT=\"4N%2B3D=681\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Since N=D+4 we can write <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4N%2B3D=681 ALIGN=MIDDLE  ALT=\"4N%2B3D=681\"   DISABLED_style= \"max-width:90%; height:auto;\" > as\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%28D%2B4%29%2B3D=681 ALIGN=MIDDLE  ALT=\"4%28D%2B4%29%2B3D=681\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7D%2B16=681 ALIGN=MIDDLE  ALT=\"7D%2B16=681\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7D=665 ALIGN=MIDDLE  ALT=\"7D=665\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D=95 ALIGN=MIDDLE  ALT=\"D=95\"   DISABLED_style= \"max-width:90%; height:auto;\" > (95 dimes)\r<BR>\n" );
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document.write( "This means that there D+4=95+4=99 nickels\r<BR>\n" );
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document.write( "Finally we can see that there must be 241-99-95=47 quarters\r<BR>\n" );
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document.write( "(so there are 99 nickels, 95 dimes and 47 quarters) </SPAN>\n" );
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