document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=715752>Question 715752</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have some quarters, some nickels and some dimes in my pocket. There are 14 coins total. There is one more nickel than dime. The coins total $1.55. How many quarters are there in my pocket? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #439568 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=439568\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I have some quarters, some nickels and some dimes in my pocket. There are 14 coins total. There is one more nickel than dime. The coins total $1.55. How many quarters are there in my pocket?<BR>\n" );
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document.write( "Equations:<BR>\n" );
document.write( "n + d + q = 14<BR>\n" );
document.write( "5n+10d+25q = 155<BR>\n" );
document.write( "n = d + 1<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "Rearrange and modify:<BR>\n" );
document.write( "n  +  d  +  q  =  14<BR>\n" );
document.write( "n  -  d  +  0  =   1<BR>\n" );
document.write( "n  + 2d  + 5q  =  31<BR>\n" );
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document.write( "I used the matrix function on my TI-84 to get:<BR>\n" );
document.write( "n = 6<BR>\n" );
document.write( "d = 5<BR>\n" );
document.write( "q = 3  (# of quarters)<BR>\n" );
document.write( "=============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );