document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=452610>Question 452610</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There are 96 coins consisting of pennies,dimes, and quarters. the number of pennies is equal to the number of dimes and the total value is $22.05. How many coins of each tyoe 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 #311140 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=311140\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There are 96 coins consisting of pennies, dimes, and quarters.<BR>\n" );
document.write( "p + d + q = 96<BR>\n" );
document.write( ":<BR>\n" );
document.write( "number of pennies is equal to the number of dimes<BR>\n" );
document.write( "p = d<BR>\n" );
document.write( ":<BR>\n" );
document.write( "and the total value is $22.05.<BR>\n" );
document.write( ".01p + .10d + .25 = 22.05<BR>\n" );
document.write( "multiply by 100 to get rid of the decimals<BR>\n" );
document.write( "p + 10d + 25q = 2205<BR>\n" );
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document.write( "Since d = p we can rewrite the 1st equation to:<BR>\n" );
document.write( " 2p + q = 96<BR>\n" );
document.write( "q = (96-2p)<BR>\n" );
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document.write( "and<BR>\n" );
document.write( "also rewrite the value equation to<BR>\n" );
document.write( "11p + 25q = 2205<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Replace q with (96-2p)<BR>\n" );
document.write( "11p + 25(96-2p) = 2205<BR>\n" );
document.write( "11p + 2400 - 50p = 2205<BR>\n" );
document.write( "11p - 50p = 2205 - 2400<BR>\n" );
document.write( "-39p = -195<BR>\n" );
document.write( "p = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-195%29%2F%28-39%29 ALIGN=MIDDLE  ALT=\"%28-195%29%2F%28-39%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "p = 5 pennies<BR>\n" );
document.write( "then<BR>\n" );
document.write( "d = 5 dimes<BR>\n" );
document.write( "and<BR>\n" );
document.write( "96 - 10 = 86 quarters<BR>\n" );
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document.write( "Check by finding the value<BR>\n" );
document.write( ".01(5) + .10(5) + .25(86) = <BR>\n" );
document.write( ".05 + .50 + 21.50 = 22.05; confirms our solutions of:<BR>\n" );
document.write( "5 pennies, 5 dimes, 86 quarters\r<BR>\n" );
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document.write( "\n" );
document.write( " </SPAN>\n" );
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