document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=130316>Question 130316</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0130442631/algebrahomeworkh>Algebra 1</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> How Do i Solve THe following Equation?<BR>\n" );
document.write( "  Translate to a system of equations and solve.<BR>\n" );
document.write( "A collection of nickels and dimes totals $22.40. There are<BR>\n" );
document.write( "304 coins in all. How many nickels are there. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #95184 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=95184\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let's say we have n nickels and d dimes.  That means that:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+%2B+d+=+304 ALIGN=MIDDLE  ALT=\"n+%2B+d+=+304\"   DISABLED_style= \"max-width:90%; height:auto;\" >, because that is the number of coins we have altogether.\r<BR>\n" );
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document.write( "A nickel is worth 5 cents, so the value of all of the nickels is 5n cents.  Likewise, the value of all of the dimes is 10d.\r<BR>\n" );
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document.write( "Just because I don't like mucking about with decimal coefficients, let's change the total amount of money from $22.40 to 2240 cents.\r<BR>\n" );
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document.write( "Now we can say that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5n%2B10d=2240 ALIGN=MIDDLE  ALT=\"5n%2B10d=2240\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "We can re-state the first equation by solving it for either of the variables.  Let's solve it for d:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=304-n ALIGN=MIDDLE  ALT=\"d=304-n\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now take this expression for d and substitute it into the second equation:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5n%2B10%28304-n%29=2240 ALIGN=MIDDLE  ALT=\"5n%2B10%28304-n%29=2240\"   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=5n-10n%2B3040=2240 ALIGN=MIDDLE  ALT=\"5n-10n%2B3040=2240\"   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=-5n=2240-3040 ALIGN=MIDDLE  ALT=\"-5n=2240-3040\"   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=-5n=-800 ALIGN=MIDDLE  ALT=\"-5n=-800\"   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=n=160 ALIGN=MIDDLE  ALT=\"n=160\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So there were 160 nickels.\r<BR>\n" );
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document.write( "Check the answer.\r<BR>\n" );
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document.write( "If there were 160 nickels, then there were 144 dimes (304 - 160).  144 dimes is $14.40,  160 nickels is $8.00.  $14.40 + $8.00 = $22.40.  Answer checks. </SPAN>\n" );
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