document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=187807>Question 187807</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Some US one cent coins are made mostly of copper (each has a mass of 3.1 grams). Some US one cent coins are made mostly of zinc (each has a mass of 2.5 grams).\r<BR>\n" );
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document.write( "Mr. Kniser has a bag of 1000 US one cent coins. The total mass of the bag is 2616.4 grams. How many of each type of cent is in the bag? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #140807 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=140807\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Some US one cent coins are made mostly of copper (each has a mass of 3.1 grams).<BR>\n" );
document.write( " Some US one cent coins are made mostly of zinc (each has a mass of 2.5 grams).<BR>\n" );
document.write( "Mr. Kniser has a bag of 1000 US one cent coins. The total mass of the bag is 2616.4 grams.<BR>\n" );
document.write( " How many of each type of cent is in the bag?<BR>\n" );
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document.write( "Let c = no. of copper coins<BR>\n" );
document.write( "Let z = no. of zinc coin<BR>\n" );
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document.write( "A system of two equations:<BR>\n" );
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document.write( "total no. of coins<BR>\n" );
document.write( "c + z = 1000<BR>\n" );
document.write( "which can be written: <BR>\n" );
document.write( "c = (1000-z)<BR>\n" );
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document.write( "and total weight<BR>\n" );
document.write( "3.1c + 2.5z = 2616.4<BR>\n" );
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document.write( "Substitute (1000-z) for c in the above equation:<BR>\n" );
document.write( "3.1(1000-z) + 2.5z = 2616.4<BR>\n" );
document.write( "3100 - 3.1z + 2.5z = 2616.4<BR>\n" );
document.write( "-.6z = 2616.4 - 3100<BR>\n" );
document.write( "-.6z = -483.6<BR>\n" );
document.write( "z = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-483.6%29%2F%28-.6%29 ALIGN=MIDDLE  ALT=\"%28-483.6%29%2F%28-.6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "z = +806 zinc coins<BR>\n" );
document.write( "and<BR>\n" );
document.write( "1000 - 806 = 194 copper coins<BR>\n" );
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document.write( "Check solution in the weight equation<BR>\n" );
document.write( "3.1(194) + 2.5(806) = <BR>\n" );
document.write( "601.4 + 2015 = 2616.4 </SPAN>\n" );
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