document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=140219>Question 140219</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0534386172/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> I have not been able to find a formula for a coin problem with no value.  The problem is: Rita has a collection of 105 coins consisting of nickels, dimes, and quarters.  The number of dimes is 5 more than one-third the number of nickels, and the number of quarters is twice the number of dimes.  How many coins of each kind does she have? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #102154 by </B><A HREF=/tutors/aboutme.mpl?userid=scott8148><B>scott8148(6628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=scott8148><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=scott8148><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=102154\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \"105 coins consisting of nickels, dimes, and quarters\" __ 105=n+d+q\r<BR>\n" );
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document.write( "\"number of dimes is 5 more than one-third the number of nickels\" __ d=5+(n/3) __ 3(d-5)=n\r<BR>\n" );
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document.write( "\"number of quarters is twice the number of dimes\" __ q=2d\r<BR>\n" );
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document.write( "substituting __ 105=3(d-5)+d+2d __ 120=6d __ 20=d\r<BR>\n" );
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document.write( "substituting __ 3(20-5)=n __ 45=n\r<BR>\n" );
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document.write( "substituting __ q=2(20) __ q=40 </SPAN>\n" );
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