document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1053338>Question 1053338</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The value of the dimes is exactly half the value of the quarters. The value of the nickels is 50 cents less than the value of the dimes. The value of the pennies is exactly half the value of the nickels. There are 97 coins in all with a combined value of $6. How much in quarters?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #668579 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=668579\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> pennies,nickels, dimes, quarters;<BR>\n" );
document.write( "p, n, d, q;\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%280.1d=0.25q%2F2%2C0.05n=-0.5%2B0.1d%2C0.01p=0.05n%2F2%2Cn%2Bd%2Bq%2Bp=97%2C0.01p%2B0.05n%2B0.1d%2B0.25q=6%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Notice the description indicates five equations but only needs four variables to be solved.\r<BR>\n" );
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document.write( "First goal is to simplify the system.<BR>\n" );
document.write( "This is one possible system found along the way:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%284d=5q%2Cn=2d-10%2C2p=5n%2Cp%2Bd%2Bn%2Bq=97%2Cp%2B5n%2B10d%2B25q=600%29 ALIGN=MIDDLE  ALT=\"system%284d=5q%2Cn=2d-10%2C2p=5n%2Cp%2Bd%2Bn%2Bq=97%2Cp%2B5n%2B10d%2B25q=600%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "A possible next step could be substitute for n in four of the equations and obtain this possible system:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%284d=5q%2Cp=5d-25%2Cp%2B11d%2Bq=147%2Cp%2B60d%2B25q=850%29 ALIGN=MIDDLE  ALT=\"system%284d=5q%2Cp=5d-25%2Cp%2B11d%2Bq=147%2Cp%2B60d%2B25q=850%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "...exactly which direction of steps you take anywhere in the process is up to you.  Continued substitution?  Elimination?  Matrix row operations?\r<BR>\n" );
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document.write( "Continuing the solution process here, substituting for p,\r<BR>\n" );
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