document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=934803>Question 934803</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A collection of 120 coins worth of $5.52 consists of pennies, nickels, dimes and quarters.  There are 8 more nickels than dimes and three times as many pennies as nickels.  How many of each type of coin are there?\r<BR>\n" );
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document.write( "What I've tried:<BR>\n" );
document.write( "	x+y+z+w=120		<BR>\n" );
document.write( "	1x+5y+10z+25w=552		<BR>\n" );
document.write( "			<BR>\n" );
document.write( "	y=z+8		<BR>\n" );
document.write( "	x=3y		<BR>\n" );
document.write( "			<BR>\n" );
document.write( "3y+z+8+z+w=120		1(3y)+5(z+8)+10z+25w=552	<BR>\n" );
document.write( "3y+2z+w=112		3y+5z+40+10z+25w=552	<BR>\n" );
document.write( "		3y+5z+10z+25w=512	<BR>\n" );
document.write( "		3y+15z+25w=512	<BR>\n" );
document.write( "			<BR>\n" );
document.write( "			<BR>\n" );
document.write( "(-36y-24z-12w)=-1344			<BR>\n" );
document.write( "3y+15z+25w=512			<BR>\n" );
document.write( "(-33y-9z+13w)=-832		 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #567840 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=567840\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> we have the following formulas<BR>\n" );
document.write( "n = d + 8<BR>\n" );
document.write( "p = 3n<BR>\n" );
document.write( "p = 3*(d+8)<BR>\n" );
document.write( "p = 3d+24<BR>\n" );
document.write( "d +(d+8) +(3d+24) +q = 120<BR>\n" );
document.write( "d+d+8+3d+24+q = 120<BR>\n" );
document.write( "5d +32 +q = 120<BR>\n" );
document.write( "5d +q = 88<BR>\n" );
document.write( ".10d + .05*(d+8) + .01*(3d+24) +.25q = 5.52<BR>\n" );
document.write( ".10d +.05d+.4 +.03d+.24 +.25q = 5.52<BR>\n" );
document.write( ".18d +.64 +.25q = 5.52<BR>\n" );
document.write( ".18d +.25q = 4.88<BR>\n" );
document.write( "now we have two equations in two unknowns<BR>\n" );
document.write( "5d +q = 88<BR>\n" );
document.write( ".18d +.25q = 4.88<BR>\n" );
document.write( "solve first equation for q<BR>\n" );
document.write( "q = 88 - 5d<BR>\n" );
document.write( "substitute for q in second equation<BR>\n" );
document.write( ".18d +.25(88-5d) = 4.88<BR>\n" );
document.write( ".18d +22-1.25d = 4.88<BR>\n" );
document.write( "-1.07d +22 = 4.88<BR>\n" );
document.write( "-1.07d = -17.12<BR>\n" );
document.write( "d = 16<BR>\n" );
document.write( "n = 16+8 = 24<BR>\n" );
document.write( "p = 3*24 = 72<BR>\n" );
document.write( "q = 120 - (16+24+72) = 8<BR>\n" );
document.write( "therefore there are<BR>\n" );
document.write( "72 pennies, 24 nickels, 16 dimes, 8 quarters<BR>\n" );
document.write( "check answer<BR>\n" );
document.write( ".01*72 + .05*24 + .10*16 + .25*8 = 5.52<BR>\n" );
document.write( ".72 + 1.20 + 1.60 + 2.00 = 5.52<BR>\n" );
document.write( "5.52 = 5.52<BR>\n" );
document.write( "our answer checks :-)\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );