document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=241624>Question 241624</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Raleigh has a total of 54 coins, all of which are either dimes or nickels.  The total value is $4.30. Find the number of each type of coin. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #176984 by </B><A HREF=/tutors/aboutme.mpl?userid=kelli_scofield><B>kelli_scofield(5)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=kelli_scofield><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=176984\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I am going to set this problem up with two equations.\r<BR>\n" );
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document.write( "Equation 1:<BR>\n" );
document.write( "n+d=54\r<BR>\n" );
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document.write( "Equation 2:<BR>\n" );
document.write( ".05n+.10d=4.30\r<BR>\n" );
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document.write( "The first equation signifies the number of coins.  n=nickels and d=dimes.<BR>\n" );
document.write( "The second equation signifies the worth of the coins.\r<BR>\n" );
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document.write( "First, I am going to make equation #2 simpler by moving the decimal place on each term two units to the right.  My new equation number 2 is 5n+10d=430\r<BR>\n" );
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document.write( "Now, the two equations are:<BR>\n" );
document.write( "(Equation 1)n+d=54<BR>\n" );
document.write( "(Equation 2)5n+10d=430\r<BR>\n" );
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document.write( "Using elimination, I am going to multiply equation #1 by -5(negative 5).<BR>\n" );
document.write( "This gives me:<BR>\n" );
document.write( "(Equation 1)-5n-5d=-270<BR>\n" );
document.write( "(Equation 2) 5n+10d=430\r<BR>\n" );
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document.write( "Adding the two equations, the n's get cancelled.<BR>\n" );
document.write( "Now you have one equation of:<BR>\n" );
document.write( "5d=160\r<BR>\n" );
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document.write( "Dividing the equation by 5 gives you: d=32\r<BR>\n" );
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document.write( "Plug (32) for d in one of the original equations.<BR>\n" );
document.write( "n+d=54<BR>\n" );
document.write( "n+(32)=54\r<BR>\n" );
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document.write( "After subtracting 32, you get n=22.\r<BR>\n" );
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document.write( "So, your answer is 22 nickels and 32 dimes.\r<BR>\n" );
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document.write( "You can check your answer by plugging both of these values in for each of the original equations. </SPAN>\n" );
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