document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=903361>Question 903361</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In changing a $5, Marge received 9 more dimes than nickels and 7 fewer quarters than dimes.  How many of each coin did she receive?\r<BR>\n" );
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document.write( "nickels=x<BR>\n" );
document.write( "dimes=9+x<BR>\n" );
document.write( "quarters= x-7 = 9+x-7 = x-2\r<BR>\n" );
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document.write( "x+9+x+x-2=?<BR>\n" );
document.write( "3x+7=?\r<BR>\n" );
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document.write( "Not sure what the number should be that the equation equals.  Would it be 500?<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 #547929 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=547929\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> n = # of nickels<BR>\n" );
document.write( "d = # of dimes<BR>\n" );
document.write( "q = # of quarters\r<BR>\n" );
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document.write( "\"Marge received 9 more dimes than nickels\" ---> d = n+9\r<BR>\n" );
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document.write( "\"7 fewer quarters than dimes\" ----> q = d - 7 = (n+9)-7 = n + 2\r<BR>\n" );
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document.write( "She has n nickels, n+9 dimes, n+2 quarters\r<BR>\n" );
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document.write( "she has 0.05n dollars in just nickels<BR>\n" );
document.write( "she has 0.10(n+9) dollars in just dimes<BR>\n" );
document.write( "she has 0.25(n+2) dollars in just quarters\r<BR>\n" );
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document.write( "They must add to $5\r<BR>\n" );
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document.write( "So, 0.05n+0.10(n+9)+0.25(n+2) = 5\r<BR>\n" );
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document.write( "Now solve for n\r<BR>\n" );
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document.write( "	0.05n+0.10(n+9)+0.25(n+2) = 5\r\n" );
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document.write( "	0.05n+0.10(n)+0.10*(9)+0.25(n)+0.25*(2) = 5\r\n" );
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document.write( "	0.05n+0.10n+0.9+0.25n+0.50 = 5\r\n" );
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document.write( "	0.40n+1.40 = 5\r\n" );
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document.write( "	0.40n = 5-1.40\r\n" );
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document.write( "	0.40n = 3.60\r\n" );
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document.write( "	n = 3.60/0.40\r\n" );
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document.write( "	n = 9\r\n" );
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document.write( "Use n = 9 to find d\r<BR>\n" );
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document.write( "d = n+9<BR>\n" );
document.write( "d = 9+9<BR>\n" );
document.write( "d = 18\r<BR>\n" );
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document.write( "Then use d = 18 to find q.\r<BR>\n" );
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document.write( "q = d - 7<BR>\n" );
document.write( "q = 18 - 7<BR>\n" );
document.write( "q = 11\r<BR>\n" );
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document.write( "Summary: n = 9, d = 18, q = 11\r<BR>\n" );
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document.write( "She has 9 nickels, 18 dimes, 11 quarters </SPAN>\n" );
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