document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1157276>Question 1157276</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A pile of 23 coins consists of nickels and dimes. The total value of the coins is $1.20. Find the number of each type of coin   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #780111 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13203)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=780111\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "(1) Using formal algebra....<br><BR>\n" );
document.write( "n nickels<BR>\n" );
document.write( "d dimes<br><BR>\n" );
document.write( "n+d=23  [the total number of coins is 23]<BR>\n" );
document.write( "5n+10d=120  [the total value of the coins is $1.20 = 120 cents]<br><BR>\n" );
document.write( "Solve the pair of linear equations by your favorite method....<br><BR>\n" );
document.write( "Note the setup using formal algebra is easier if you start with<br><BR>\n" );
document.write( "n nickels<BR>\n" );
document.write( "(23-n) dimes  [because the total number of coins is 23]<br><BR>\n" );
document.write( "Then solving the problem involves solving a single equation, instead of a system of two equations:<br><BR>\n" );
document.write( "5(n)+10(23-n) = 120<br><BR>\n" );
document.write( "(2) Using logical reasoning and simple mental arithmetic (if a formal algebraic solution is not required)....<br><BR>\n" );
document.write( "(a) 23 coins all nickels would make the total value 23*5 = 115 cents; that is 5 cents short of the actual total value<BR>\n" );
document.write( "(b) Exchange one of the nickels for a dime; that keeps the total number of coins 23 and increases the total value by 5 cents -- giving us the actual total value of 120 cents<br><BR>\n" );
document.write( "ANSWER: 22 nickels and 1 dime<br><BR>\n" );
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