document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=387709>Question 387709</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Joe has a collection of nickels and dimes that is worth $2.10. If the number of dimes was tripled and the number of nickels was increased by 24, the value of the coins would be $6.30. How many nickels and dimes does he have? \r<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 #274096 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=274096\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let N= number of Nickels, each worth 5 cents<BR>\n" );
document.write( "Let D= number of Dimes, each worth 10 cents\r<BR>\n" );
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document.write( "5N + 10D = 210<BR>\n" );
document.write( "5(N+24)+ 10(3D) = 630\r<BR>\n" );
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document.write( "5N + 10D = 210<BR>\n" );
document.write( "5N+120 + 30D=630<BR>\n" );
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document.write( "In the second equation, subtract 120 from each side:<BR>\n" );
document.write( "5N + 10D = 210<BR>\n" );
document.write( "5N + 30D = 510\r<BR>\n" );
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document.write( "Multiply both sides of first equation by -1 to eliminate the N variables:<BR>\n" );
document.write( "-5N - 10D = -210<BR>\n" );
document.write( "5N  + 30D =  510\r<BR>\n" );
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document.write( "Add the two equations together:<BR>\n" );
document.write( "20D = 300\r<BR>\n" );
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document.write( "Divide both sides by 20<BR>\n" );
document.write( "D=300/20=15 Dimes\r<BR>\n" );
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document.write( "5N + 10D = 210<BR>\n" );
document.write( "5N + 10*15= 210<BR>\n" );
document.write( "5N + 150 = 210<BR>\n" );
document.write( "5N = 60<BR>\n" );
document.write( "N= 12 Nickels\r<BR>\n" );
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document.write( "Check:<BR>\n" );
document.write( "5(N+24) + 10(3D) = 630<BR>\n" );
document.write( "5(36) + 10(45) = 630<BR>\n" );
document.write( "180 + 450 = 630\r<BR>\n" );
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document.write( "IT CHECKS!!\r<BR>\n" );
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document.write( "Dr. Robert J. Rapalje, Retired\r<BR>\n" );
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