document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1021328>Question 1021328</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A collection of coins has a total value of 64 cents. There are two more nickels than dimes and three<BR>\n" );
document.write( "times as many pennies as dimes. How many of each kind of coin are there?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #637052 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=637052\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A collection of coins has a total value of 64 cents. <BR>\n" );
document.write( "There are two more nickels than dimes <BR>\n" );
document.write( "and three times as many pennies as dimes. <BR>\n" );
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document.write( "How many of each kind of coin are there?<BR>\n" );
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document.write( "Equations:<BR>\n" );
document.write( "p + 5n + 10d = 64 cents<BR>\n" );
document.write( "n = d + 2<BR>\n" );
document.write( "p = 3d<BR>\n" );
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document.write( "Substitute for \"n\" and for \"p\" and solve for \"d\"::<BR>\n" );
document.write( "3d + 5(d+2) + 10d = 64<BR>\n" );
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document.write( "18d + 10 = 64<BR>\n" );
document.write( "18d = 54<BR>\n" );
document.write( "d = 3 (# of dimes)<BR>\n" );
document.write( "n = d+2 = 5 (# of nickel)<BR>\n" );
document.write( "p = 3d = 9 (# of pennies)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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