document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1058477>Question 1058477</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Katie has a collection of nickels, dimes, and quarters with a total value of $4.65. There are 5 more dimes than nickels and 7 more quarters than nickels, how many of each coin does she have?<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 #673543 by </B><A HREF=/tutors/aboutme.mpl?userid=math_helper><B>math_helper(2461)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_helper><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=math_helper><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=673543\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Let<BR>\n" );
document.write( " n = number of nickels<BR>\n" );
document.write( " d = number of dimes<BR>\n" );
document.write( " q = number of quarters\r<BR>\n" );
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document.write( "….\r<BR>\n" );
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document.write( "5n + 10d + 25q = 465    (total value, in cents)<BR>\n" );
document.write( "d = n + 5                         (5 more dimes than nickels)<BR>\n" );
document.write( "q = n + 7                         (7 more quarters than nickels)\r<BR>\n" );
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document.write( "The easiest thing to do at this point is to substitute for d & q in the top equation.\r<BR>\n" );
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document.write( "5n + 10(n+5) + 25(n+7) = 465\r<BR>\n" );
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document.write( "Can you solve for n?\r<BR>\n" );
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