document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=115769>Question 115769</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a box, there are 25 coins consisting of quarters, dimes and nickels with a total amount of $2.75. If the nickels were dimes, the dimes were quarters and the quarters were nickels, the total amount would be $3.75.  How many quarters 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 #84228 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=84228\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In a box, there are 25 coins consisting of quarters, dimes and nickels with a total amount of $2.75.<BR>\n" );
document.write( "If the nickels were dimes, the dimes were quarters and the quarters were nickels, the total amount would be $3.75.  <BR>\n" );
document.write( "How many quarters are there?<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "Let # be : q=quarter, d=dimes, n=nickels<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "n + d + q = 25<BR>\n" );
document.write( "5n+10d+25q=275<BR>\n" );
document.write( "10n+25d+5q=375<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "Using a TI-83 Matrix function I get:<BR>\n" );
document.write( "n=10<BR>\n" );
document.write( "d=10<BR>\n" );
document.write( "q=5<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );