document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=30287>Question 30287</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A jar of nickels and dimes contains $3.30. There are 27 more nickels than dimes. How many of each 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 #16960 by </B><A HREF=/tutors/aboutme.mpl?userid=smoothflyin><B>smoothflyin(6)</B></A><img src=\"/images/stars/stars-05.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=smoothflyin><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=16960\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To solve this first assign variables to your various terms. \r<BR>\n" );
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document.write( "Let n=nickels and let d=dimes\r<BR>\n" );
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document.write( "We know that Nickels=5 cents and dimes=10 cents so we can then say that\r<BR>\n" );
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document.write( "5n+10d=330\r<BR>\n" );
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document.write( "(5 cents times the number of nickels (n) plus 10 cents times the number of dimes (d) is equal to our total number of cents. 330 or $3.30)\r<BR>\n" );
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document.write( "we then read in our problem that There are 27 more nickels than dimes. \r<BR>\n" );
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document.write( "We can express this like so (n=d+27) or the number of nickels is equal to the number of dimes plus 27.\r<BR>\n" );
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document.write( "Now that we have a term to work with we can plug n=d+27 back into our original equattion.\r<BR>\n" );
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document.write( "5n+10d=330\r<BR>\n" );
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document.write( "5(d+27)+10d=330\r<BR>\n" );
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document.write( "5d+135+10d=330\r<BR>\n" );
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document.write( "Combine like terms\r<BR>\n" );
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document.write( "15d+135=330\r<BR>\n" );
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document.write( "Bring the \"135\" over the equal sign, its sign reverses and so you will subtract it from 330\r<BR>\n" );
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document.write( "15d=330-135\r<BR>\n" );
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document.write( "combine like terms\r<BR>\n" );
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document.write( "15d=195\r<BR>\n" );
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document.write( "divide through by 15\r<BR>\n" );
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document.write( "d=13\r<BR>\n" );
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document.write( "Number of dimes=13<BR>\n" );
document.write( "Number of Nickles=40 </SPAN>\n" );
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