document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=597476>Question 597476</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Daniel has $2.90 in nickels, dimes and quarters.  If he has three more nickels than dimes and twice as many dimes as quarters, how many of each does he have? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #378216 by </B><A HREF=/tutors/aboutme.mpl?userid=math-vortex><B>math-vortex(648)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math-vortex><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=math-vortex><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=378216\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi, there--<BR>\n" );
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document.write( "[I] Define your variables<BR>\n" );
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document.write( "n = the number of nickels<BR>\n" );
document.write( "d = the number of dimes<BR>\n" );
document.write( "q = the number of quarters<BR>\n" );
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document.write( "[II] Create equations showing the given relationships<BR>\n" );
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document.write( "There are three more nickels than dimes.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=d%2B3 ALIGN=MIDDLE  ALT=\"n=d%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "There are twice as many dimes as quarters.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=2q ALIGN=MIDDLE  ALT=\"d=2q\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=q=d%2F2 ALIGN=MIDDLE  ALT=\"q=d%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "The total amount of money is $2.90<BR>\n" );
document.write( "The value of the nickels is $0.05 times the number of nickels, or 0.05n<BR>\n" );
document.write( "The value of the dimes is $0.10 times the number of dimes, or 0.10d<BR>\n" );
document.write( "The value of the quarters is $0.25 times the number of quarters, or 0.25q<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.05n%2B0.10d%2B0.25q=2.90 ALIGN=MIDDLE  ALT=\"0.05n%2B0.10d%2B0.25q=2.90\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "[III] Solve the system of equations.<BR>\n" );
document.write( "I'll use the substitution method.<BR>\n" );
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document.write( "Substitute d+3 for n and d/2 for q into the value equation.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.05n%2B0.10d%2B0.25q=2.90 ALIGN=MIDDLE  ALT=\"0.05n%2B0.10d%2B0.25q=2.90\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.05%28d%2B3%29%2B0.10d%2B0.25%28d%2F2%29=2.90 ALIGN=MIDDLE  ALT=\"0.05%28d%2B3%29%2B0.10d%2B0.25%28d%2F2%29=2.90\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Simplify and solve for d.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.05d%2B0.15%2B0.10d%2B0.125d=2.90 ALIGN=MIDDLE  ALT=\"0.05d%2B0.15%2B0.10d%2B0.125d=2.90\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.275d%2B0.15=2.90 ALIGN=MIDDLE  ALT=\"0.275d%2B0.15=2.90\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.275d=2.75 ALIGN=MIDDLE  ALT=\"0.275d=2.75\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=10 ALIGN=MIDDLE  ALT=\"d=10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "The equation d=10 means that there are 10 dimes. <BR>\n" );
document.write( "There are n = d+3 = 10+3 = 13 nickels.<BR>\n" );
document.write( "There are d/2 = 10/2 = 5 quarters.<BR>\n" );
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document.write( "[IV] Check your work.<BR>\n" );
document.write( "Do these coins add up to $2.90? <BR>\n" );
document.write( "13 nickels is 6*13 = $0.65<BR>\n" );
document.write( "10 dimes is 10*10 = $1.00<BR>\n" );
document.write( "5 quarters is 5*25 = $1.25<BR>\n" );
document.write( "$0.65 + 1.00 + 1.25 = $2.90<BR>\n" );
document.write( "Check!<BR>\n" );
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document.write( "That's it!<BR>\n" );
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document.write( "Feel free to email me via gmail if the explanation is unclear.<BR>\n" );
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document.write( "Ms.Figgy<BR>\n" );
document.write( "math.in.the.vortex@gmail.com\r<BR>\n" );
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