document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=933517>Question 933517</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the number of nickels, dimes, and quarters in a collection of 80 such coins if the nickels and the quarters are worth $4.50 and the value of the quarters and the dimes is $5.50.\r<BR>\n" );
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document.write( "My work: <BR>\n" );
document.write( ".5n + .25q = 4.50    <BR>\n" );
document.write( ".10d + .25q = 5.50    <BR>\n" );
document.write( ".10d - .5n = 1.00\r<BR>\n" );
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document.write( "n + .5q = 9     <BR>\n" );
document.write( "d + 2.5q = 55     <BR>\n" );
document.write( "d - 5n = 10     <BR>\n" );
document.write( "d + n + q = 80 coins\r<BR>\n" );
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document.write( "Ive tried everything, even made a chart - please help!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #566853 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=566853\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=nickels=n ALIGN=MIDDLE  ALT=\"nickels=n\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dimes=d ALIGN=MIDDLE  ALT=\"dimes=d\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=quarters+=q ALIGN=MIDDLE  ALT=\"quarters+=q\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "given:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%2Bd%2Bq=80 ALIGN=MIDDLE  ALT=\"n%2Bd%2Bq=80\"   DISABLED_style= \"max-width:90%; height:auto;\" > .....eq.1\r<BR>\n" );
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document.write( "if the nickels and the quarters are worth $<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4.50 ALIGN=MIDDLE  ALT=\"4.50\"   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=0.05n%2B0.25q=4.50 ALIGN=MIDDLE  ALT=\"0.05n%2B0.25q=4.50\"   DISABLED_style= \"max-width:90%; height:auto;\" > .....eq.2\r<BR>\n" );
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document.write( "the value of the quarters and the dimes is $<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5.50 ALIGN=MIDDLE  ALT=\"5.50\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.25q%2B0.10d=5.50 ALIGN=MIDDLE  ALT=\"0.25q%2B0.10d=5.50\"   DISABLED_style= \"max-width:90%; height:auto;\" > .....eq.3\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "solve the system:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%2Bd%2Bq=80 ALIGN=MIDDLE  ALT=\"n%2Bd%2Bq=80\"   DISABLED_style= \"max-width:90%; height:auto;\" > .....eq.1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.05n%2B0.25q=4.50 ALIGN=MIDDLE  ALT=\"0.05n%2B0.25q=4.50\"   DISABLED_style= \"max-width:90%; height:auto;\" > .....eq.2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.25q%2B0.10d=5.50 ALIGN=MIDDLE  ALT=\"0.25q%2B0.10d=5.50\"   DISABLED_style= \"max-width:90%; height:auto;\" > .....eq.3<BR>\n" );
document.write( "_________________________________\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.05n%2B0.25q=4.50 ALIGN=MIDDLE  ALT=\"0.05n%2B0.25q=4.50\"   DISABLED_style= \"max-width:90%; height:auto;\" > .....eq.2...multiply by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100 ALIGN=MIDDLE  ALT=\"100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.25q%2B0.10d=5.50 ALIGN=MIDDLE  ALT=\"0.25q%2B0.10d=5.50\"   DISABLED_style= \"max-width:90%; height:auto;\" > .....eq.3...multiply by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100 ALIGN=MIDDLE  ALT=\"100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "____________________________\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5n%2B25q=450 ALIGN=MIDDLE  ALT=\"5n%2B25q=450\"   DISABLED_style= \"max-width:90%; height:auto;\" > .....eq.2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25q%2B10d=550 ALIGN=MIDDLE  ALT=\"25q%2B10d=550\"   DISABLED_style= \"max-width:90%; height:auto;\" > .....eq.3<BR>\n" );
document.write( "__________________________________\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%2Bd%2Bq=80 ALIGN=MIDDLE  ALT=\"n%2Bd%2Bq=80\"   DISABLED_style= \"max-width:90%; height:auto;\" > .....eq.1..solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n ALIGN=MIDDLE  ALT=\"n\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=80+-d-q ALIGN=MIDDLE  ALT=\"n=80+-d-q\"   DISABLED_style= \"max-width:90%; height:auto;\" >.......substitute in eq.2\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2880+-d-q%29%2B25q=450 ALIGN=MIDDLE  ALT=\"5%2880+-d-q%29%2B25q=450\"   DISABLED_style= \"max-width:90%; height:auto;\" > .....eq.2 ...\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=400+-5d-5q%2B25q=450 ALIGN=MIDDLE  ALT=\"400+-5d-5q%2B25q=450\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+20q-5d%2B400+=+450 ALIGN=MIDDLE  ALT=\"+20q-5d%2B400+=+450\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+20q-5d=50 ALIGN=MIDDLE  ALT=\"+20q-5d=50\"   DISABLED_style= \"max-width:90%; height:auto;\" >...solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d ALIGN=MIDDLE  ALT=\"d\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+20q-50=5d ALIGN=MIDDLE  ALT=\"+20q-50=5d\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+20q%2F5-50%2F5=5d%2F5 ALIGN=MIDDLE  ALT=\"+20q%2F5-50%2F5=5d%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d=4q-10 ALIGN=MIDDLE  ALT=\"+d=4q-10\"   DISABLED_style= \"max-width:90%; height:auto;\" >...................\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "go to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25q%2B10d=550 ALIGN=MIDDLE  ALT=\"25q%2B10d=550\"   DISABLED_style= \"max-width:90%; height:auto;\" > .....eq.3....substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d ALIGN=MIDDLE  ALT=\"d\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25q%2B10%284q-10%29=550 ALIGN=MIDDLE  ALT=\"25q%2B10%284q-10%29=550\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25q%2B40q-100=550 ALIGN=MIDDLE  ALT=\"25q%2B40q-100=550\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=65q=550%2B100 ALIGN=MIDDLE  ALT=\"65q=550%2B100\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=65q=650 ALIGN=MIDDLE  ALT=\"65q=650\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=q=650%2F65 ALIGN=MIDDLE  ALT=\"q=650%2F65\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28q=10%29 ALIGN=MIDDLE  ALT=\"highlight%28q=10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "go to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d=4q-10 ALIGN=MIDDLE  ALT=\"+d=4q-10\"   DISABLED_style= \"max-width:90%; height:auto;\" >. ........substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=q ALIGN=MIDDLE  ALT=\"q\"   DISABLED_style= \"max-width:90%; height:auto;\" > and find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d ALIGN=MIDDLE  ALT=\"d\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d=4%2A10-10 ALIGN=MIDDLE  ALT=\"+d=4%2A10-10\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d=40-10 ALIGN=MIDDLE  ALT=\"+d=40-10\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28+d=30%29 ALIGN=MIDDLE  ALT=\"highlight%28+d=30%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "go to <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=80+-d-q ALIGN=MIDDLE  ALT=\"n=80+-d-q\"   DISABLED_style= \"max-width:90%; height:auto;\" >.......substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=q ALIGN=MIDDLE  ALT=\"q\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d ALIGN=MIDDLE  ALT=\"d\"   DISABLED_style= \"max-width:90%; height:auto;\" >, find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n ALIGN=MIDDLE  ALT=\"n\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=80+-30-10 ALIGN=MIDDLE  ALT=\"n=80+-30-10\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28+n=40%29 ALIGN=MIDDLE  ALT=\"highlight%28+n=40%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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