document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=536472>Question 536472</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Joe has a collection of nickels and dimes that is worth $9.60. If the number of nickels was tripled and the number of dimes was decreased by 31, the value of the coins would be $6.70. How many nickels and dimes does he have? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #352379 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=352379\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the nickels be x<BR>\n" );
document.write( "Dimes = y\r<BR>\n" );
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document.write( "5x+10y=960---------------(1)\r<BR>\n" );
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document.write( "5(3x)+10(y-31)=670\r<BR>\n" );
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document.write( "15x+10y-310=670<BR>\n" );
document.write( "15x+10y=980 ---------------(2)<BR>\n" );
document.write( "Multiply equation (1) by -3<BR>\n" );
document.write( "we get<BR>\n" );
document.write( "-15x-30y=-2880<BR>\n" );
document.write( "Add this equation to (2)<BR>\n" );
document.write( "-20y=-1900<BR>\n" );
document.write( "/-20<BR>\n" );
document.write( "y=95 ---- dimes<BR>\n" );
document.write( "plug x in any equation you get x=2 nickels<BR>\n" );
document.write( "CHECK<BR>\n" );
document.write( "5*2+10*95=960\r<BR>\n" );
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document.write( " </SPAN>\n" );
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