document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1137180>Question 1137180</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Manny is always looking for coins lost on the playground. He has a collection of 72 coins, all nickels and dimes, that totals $6.20. What is the total amount of money he has found in dimes? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #755019 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=755019\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "(1) Algebraically....<br><BR>\n" );
document.write( "d+n = 72  [the total number of dimes and nickels is 72]<BR>\n" );
document.write( "10d+5n = 620  [the total value of the coins (in cents) is 620]<br><BR>\n" );
document.write( "Solve by any method you want (I think elimination is by far the easiest....)<br><BR>\n" );
document.write( "(2) Using logical reasoning....<br><BR>\n" );
document.write( "If all 72 coins were dimes, the total value would be 720 cents; that's 100 cents more than the actual total.<BR>\n" );
document.write( "Each nickel is worth 5 cents less than each dime.  For the total value of the coins to be 100 cents less than 720, the number of nickels has to be 100/5 = 20.<br><BR>\n" );
document.write( "ANSWER: 20 nickels and the rest (52) dimes.<br><BR>\n" );
document.write( "Assuming this problem comes from a beginning algebra course, you of course should understand how to solve the problem using formal algebra.<br><BR>\n" );
document.write( "But solving problems like this through logical reasoning can be very good brain exercise.... </SPAN>\n" );
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