document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=23737>Question 23737</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In Paul's bank, there is $2.60 in pennies, nickels, and dimes.  In all there are 45 coins.  If there are twice as many nickels as pennies, find out how many of each kind there are. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #12517 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=12517\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x = number of pennies, (since this is at the end of the first phrase).<BR>\n" );
document.write( "2x = number of nickels\r<BR>\n" );
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document.write( "Now, getting the number of dimes is a little tricky.  You have accounted for a total of x + 2x = 3x in pennies and nickels, and there are a total of 45 coins in all.  The number of dimes is 45 minus all the rest of the coins.  That is,\r<BR>\n" );
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document.write( "45 - 3x = number of dimes\r<BR>\n" );
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document.write( "Values of the coins in CENTS will be the value of each coin times the number of coins:<BR>\n" );
document.write( "1*x = value of pennies<BR>\n" );
document.write( "5*(2x) = value of nickels <BR>\n" );
document.write( "10*(45-3x) = value of dimes\r<BR>\n" );
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document.write( "The equation is based upon the total value of the coins.  Be sure that if you are doing the problem in cents, then everything is in cents:\r<BR>\n" );
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document.write( "1x + 5(2x) + 10(45-3x) = 260 cents<BR>\n" );
document.write( "1x + 10x + 450 - 30x = 260<BR>\n" );
document.write( "-19x + 450 = 260\r<BR>\n" );
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document.write( "Subtract 450 from each side:<BR>\n" );
document.write( "-19x + 450 -450 = 260-450<BR>\n" );
document.write( "-19x = -190\r<BR>\n" );
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document.write( "Divide both sides by -19 and HOPE it comes out even!!  Remember, it CAN'T come out to a fraction, and it CAN'T come out to a negative number!\r<BR>\n" );
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document.write( "x = 10 Pennies<BR>\n" );
document.write( "2x = 20 Nickels<BR>\n" );
document.write( "45-3x = 45 - 30 = 15 Dimes\r<BR>\n" );
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document.write( "Check the values:  <BR>\n" );
document.write( "P = $0.10<BR>\n" );
document.write( "N = $1.00<BR>\n" );
document.write( "D = $1.50\r<BR>\n" );
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document.write( "Total= $2.60<BR>\n" );
document.write( "It checks!\r<BR>\n" );
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document.write( "R^2 at SCC </SPAN>\n" );
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