document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1100038>Question 1100038</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There are some nickels, dimes, and quarters in a large piggy bank. <BR>\n" );
document.write( "For every 2 nickels, there are 3 dimes.<BR>\n" );
document.write( "For every 2 dimes, there are 5 quarters. <BR>\n" );
document.write( "There are 500 coins in all. <BR>\n" );
document.write( "How many nickels, dimes, and quarters are in the piggy bank? <BR>\n" );
document.write( "How much are the coins in the piggy bank worth all together?\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #714520 by </B><A HREF=/tutors/aboutme.mpl?userid=richwmiller><B>richwmiller(17219)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richwmiller><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=richwmiller><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=714520\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> n+d+q=500<BR>\n" );
document.write( "d=3/2n<BR>\n" );
document.write( "q=5/2d<BR>\n" );
document.write( "n+3/2n+5/2d=500<BR>\n" );
document.write( "n+3/2n+5/2*3n/2=500<BR>\n" );
document.write( "n+1.5n+3.75n=500<BR>\n" );
document.write( "6.25n=500<BR>\n" );
document.write( "n=500/6.25<BR>\n" );
document.write( "n=80 nickels<BR>\n" );
document.write( "For every 2 nickels, there are 3 dimes.<BR>\n" );
document.write( "80/2=40<BR>\n" );
document.write( "40*3=120 dimes<BR>\n" );
document.write( "d=1.5*80=120<BR>\n" );
document.write( "That works<BR>\n" );
document.write( "For every 2 dimes, there are 5 quarters. <BR>\n" );
document.write( "120/2=60<BR>\n" );
document.write( "60*5=300<BR>\n" );
document.write( "q=3.75*80=300<BR>\n" );
document.write( "that works<BR>\n" );
document.write( "check<BR>\n" );
document.write( "80+120+300=500<BR>\n" );
document.write( "ok<BR>\n" );
document.write( "80*.05=$4.00 in nickels<BR>\n" );
document.write( "120*.10=$12.00 in dimes<BR>\n" );
document.write( "300*.25=$75.00 in quarters<BR>\n" );
document.write( "75+12+4=$91.00 in coins\r<BR>\n" );
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document.write( "The other tutor says:\r<BR>\n" );
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document.write( "100 dimes,  150 nickels  and  250 quarters<BR>\n" );
document.write( "Lets see if that meets the conditions.<BR>\n" );
document.write( "For every 2 dimes, there are 5 quarters. <BR>\n" );
document.write( "100 dimes<BR>\n" );
document.write( "100/2=50<BR>\n" );
document.write( "50*5 =250 quarters<BR>\n" );
document.write( "250 quarters <BR>\n" );
document.write( "For every 2 nickels, there are 3 dimes.<BR>\n" );
document.write( "150 nickels<BR>\n" );
document.write( "150/2=75<BR>\n" );
document.write( "75*3=225 dimes<BR>\n" );
document.write( "225 dimes doesn't equal 100 dimes<BR>\n" );
document.write( "Guess that doesn't work.<BR>\n" );
document.write( "Oops!\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );