document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=903361>Question 903361</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In changing a $5, Marge received 9 more dimes than nickels and 7 fewer quarters than dimes.  How many of each coin did she receive?\r<BR>\n" );
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document.write( "nickels=x<BR>\n" );
document.write( "dimes=9+x<BR>\n" );
document.write( "quarters= x-7 = 9+x-7 = x-2\r<BR>\n" );
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document.write( "x+9+x+x-2=?<BR>\n" );
document.write( "3x+7=?\r<BR>\n" );
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document.write( "Not sure what the number should be that the equation equals.  Would it be 500?<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 #547931 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39625)</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=547931\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Use more variables, and do not restrict assigning to x or y or z.\r<BR>\n" );
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document.write( "DIMES, NICKELS, QUARTERS -------<BR>\n" );
document.write( "Try n, d, q for how many of each coin.\r<BR>\n" );
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document.write( "\"9 more dimes than nickels\", <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d-n=9 ALIGN=MIDDLE  ALT=\"d-n=9\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "\"7 fewer quarters than dimes\",  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=q=d-7 ALIGN=MIDDLE  ALT=\"q=d-7\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "You need to think carefully about forming those algebraic sentences; mistakes in there can easily happen.\r<BR>\n" );
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document.write( "Another equation is for the \"In changing $5...\".<BR>\n" );
document.write( "Account for the change:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.05n%2B0.10d%2B0.25q=5 ALIGN=MIDDLE  ALT=\"0.05n%2B0.10d%2B0.25q=5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Simplify this money count equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%2B2d%2B5q=100 ALIGN=MIDDLE  ALT=\"n%2B2d%2B5q=100\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "System of equations is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28system%28n%2B2d%2B5q=100%2Cd-n=9%2Cq=d-7%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%28system%28n%2B2d%2B5q=100%2Cd-n=9%2Cq=d-7%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "More than one way to solve is possible.  Try substituting for q in the other two equations.  Use q=d-7.  (Cannot do that to the d-n=9 because it has no q in it);<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%2B2d%2B5%28d-7%29=100 ALIGN=MIDDLE  ALT=\"n%2B2d%2B5%28d-7%29=100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%2B2d%2B5d-35=100 ALIGN=MIDDLE  ALT=\"n%2B2d%2B5d-35=100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%2B7d-35=100 ALIGN=MIDDLE  ALT=\"n%2B7d-35=100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now use the d-n=9 equation to substitute for d, in the form of d=n+9:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%2B7%28n%2B9%29-35=100 ALIGN=MIDDLE  ALT=\"n%2B7%28n%2B9%29-35=100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%2B7n%2B63-35=100 ALIGN=MIDDLE  ALT=\"n%2B7n%2B63-35=100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8n=100-63%2B35 ALIGN=MIDDLE  ALT=\"8n=100-63%2B35\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8n=100-28=72 ALIGN=MIDDLE  ALT=\"8n=100-28=72\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=72%2F8 ALIGN=MIDDLE  ALT=\"n=72%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28n=9%29 ALIGN=MIDDLE  ALT=\"highlight%28n=9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >-----ONE OF THE COIN, NINE NICKELS\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=n%2B9 ALIGN=MIDDLE  ALT=\"d=n%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=9%2B9 ALIGN=MIDDLE  ALT=\"d=9%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" > because just found n=9,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28d=18%29 ALIGN=MIDDLE  ALT=\"highlight%28d=18%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >-------HOW MANY DIMES\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=q=d-7 ALIGN=MIDDLE  ALT=\"q=d-7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=q=18-7 ALIGN=MIDDLE  ALT=\"q=18-7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28q=11%29 ALIGN=MIDDLE  ALT=\"highlight%28q=11%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >-------THE COUNT OF QUARTERS </SPAN>\n" );
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