document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=957694>Question 957694</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How many quarters, dimes and pennies I need to total an amount of $3.27. Thank you. (needs a total of 20 coins) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #585245 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</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=585245\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> q, d, p counts of the coins.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28q%2Bd%2Bp=20%2C0.25q%2B0.10d%2B0.01p=3.27%29 ALIGN=MIDDLE  ALT=\"system%28q%2Bd%2Bp=20%2C0.25q%2B0.10d%2B0.01p=3.27%29\"   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=system%28q%2Bd%2Bp=20%2C25q%2B10d%2Bp=327%29 ALIGN=MIDDLE  ALT=\"system%28q%2Bd%2Bp=20%2C25q%2B10d%2Bp=327%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Expect more than one solution for how many of each coin.  Two equations, THREE unknown variables.  Use elementary row operations, but pick a variable to treat as a constant; best choice seems to be p.\r<BR>\n" );
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document.write( "Assuming p is a constant although not yet known value,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28q%2Bd=20-p%2C25q%2B10d=327-p%29 ALIGN=MIDDLE  ALT=\"system%28q%2Bd=20-p%2C25q%2B10d=327-p%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >-----simpler system\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%2825q%2B25d=25%2A20-25%2Ap%2C25q%2B10d=327-p%29 ALIGN=MIDDLE  ALT=\"system%2825q%2B25d=25%2A20-25%2Ap%2C25q%2B10d=327-p%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "E1-E2,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15d=25%2A20-327-25p%2Bp ALIGN=MIDDLE  ALT=\"15d=25%2A20-327-25p%2Bp\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15d=173-24p ALIGN=MIDDLE  ALT=\"15d=173-24p\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=%28173-24p%29%2F15 ALIGN=MIDDLE  ALT=\"d=%28173-24p%29%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Return again to simple system, <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%2810q%2B10d=10%2820-p%29%2C25q%2B10d=327-p%29 ALIGN=MIDDLE  ALT=\"system%2810q%2B10d=10%2820-p%29%2C25q%2B10d=327-p%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%2810q%2B10d=200-10p%2C25q%2B10d=327-p%29 ALIGN=MIDDLE  ALT=\"system%2810q%2B10d=200-10p%2C25q%2B10d=327-p%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "E2-E1,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15q=%28327-p%29-%28200-10p%29 ALIGN=MIDDLE  ALT=\"15q=%28327-p%29-%28200-10p%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15q=127%2B9p ALIGN=MIDDLE  ALT=\"15q=127%2B9p\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=q=%28127%2B9p%29%2F15 ALIGN=MIDDLE  ALT=\"q=%28127%2B9p%29%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You want to find what whole number p will make q and d to be whole numbers, and also be sure that q+d+p=20  :<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28d=%28173-24p%29%2F15%2Cq=%28127%2B9p%29%2F15%29 ALIGN=MIDDLE  ALT=\"system%28d=%28173-24p%29%2F15%2Cq=%28127%2B9p%29%2F15%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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