document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=948058>Question 948058</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The problem reads as follows.\r<BR>\n" );
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document.write( "I have 90 coins in my piggy bank, all of which are nickels and dimes. When I count the money in the piggy bank, I find that I have $15.10. How many nickels do I have and how many dimes do I have? Be sure to show all your work.\r<BR>\n" );
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document.write( "d+n= 90            d=90\r<BR>\n" );
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document.write( "0.05n +0.10d= $15.10<BR>\n" );
document.write( "0.05+0.10 (90n)= 15.10<BR>\n" );
document.write( "0.05n+ 9-0.10n= 15.10<BR>\n" );
document.write( "0.05n-d0.10n=6.10<BR>\n" );
document.write( "-0.05n=6.10 <BR>\n" );
document.write( "n=122\r<BR>\n" );
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document.write( "0.05 (90d) +0.10d= 15.10<BR>\n" );
document.write( "4.5-0.05d+0.10d= 15.10<BR>\n" );
document.write( "0.05d=10.6\r<BR>\n" );
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document.write( "d= 212 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #578614 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=578614\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> something is wrong with this problem...are you sure there is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90 ALIGN=MIDDLE  ALT=\"90\"   DISABLED_style= \"max-width:90%; height:auto;\" > coins, or $<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15.10 ALIGN=MIDDLE  ALT=\"15.10\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=122 ALIGN=MIDDLE  ALT=\"n=122\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=+212 ALIGN=MIDDLE  ALT=\"d=+212\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2Bn=+122%2B212=334 ALIGN=MIDDLE  ALT=\"d%2Bn=+122%2B212=334\"   DISABLED_style= \"max-width:90%; height:auto;\" > coins, and<BR>\n" );
document.write( " <BR>\n" );
document.write( "$<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.05%2A122=6.1 ALIGN=MIDDLE  ALT=\"0.05%2A122=6.1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "$<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.10%2A212=21.2 ALIGN=MIDDLE  ALT=\"0.10%2A212=21.2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so, $<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6.10%2B21.20=27.30 ALIGN=MIDDLE  ALT=\"6.10%2B21.20=27.30\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is much more then $<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15.10 ALIGN=MIDDLE  ALT=\"15.10\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "but, when I try with $<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5.10 ALIGN=MIDDLE  ALT=\"5.10\"   DISABLED_style= \"max-width:90%; height:auto;\" >, it works\r<BR>\n" );
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document.write( "total coins :\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n%2Bd=+90 ALIGN=MIDDLE  ALT=\"+n%2Bd=+90\"   DISABLED_style= \"max-width:90%; height:auto;\" >........equation 1\r<BR>\n" );
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document.write( "total money: $<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5.10 ALIGN=MIDDLE  ALT=\"5.10\"   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%2B0.10d=5.10 ALIGN=MIDDLE  ALT=\"0.05n%2B0.10d=5.10\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....equation 2\r<BR>\n" );
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document.write( "from equation 1 we have: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=90-d ALIGN=MIDDLE  ALT=\"n=90-d\"   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=0.05%2890-d%29%2B0.10d=5.10 ALIGN=MIDDLE  ALT=\"0.05%2890-d%29%2B0.10d=5.10\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....equation 2....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" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4.5-0.05d%2B0.10d=5.10 ALIGN=MIDDLE  ALT=\"4.5-0.05d%2B0.10d=5.10\"   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=0.05d=5.10-4.5 ALIGN=MIDDLE  ALT=\"0.05d=5.10-4.5\"   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=0.05d=0.6 ALIGN=MIDDLE  ALT=\"0.05d=0.6\"   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=d=0.6%2F0.05 ALIGN=MIDDLE  ALT=\"d=0.6%2F0.05\"   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=highlight%28d=12%29 ALIGN=MIDDLE  ALT=\"highlight%28d=12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "then <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=90-12 ALIGN=MIDDLE  ALT=\"n=90-12\"   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=78%29 ALIGN=MIDDLE  ALT=\"highlight%28n=78%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "check:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.05%2A78%2B0.10%2A12=5.10 ALIGN=MIDDLE  ALT=\"0.05%2A78%2B0.10%2A12=5.10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3.90%2B1.20=5.10 ALIGN=MIDDLE  ALT=\"3.90%2B1.20=5.10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5.10=5.10 ALIGN=MIDDLE  ALT=\"5.10=5.10\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );