document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1162246>Question 1162246</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A coin collector has 19 dimes and nickels with a total face value of $1.55. (They are actually worth a lot more.) How many of each coin does she have? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #786016 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=786016\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "A student just learning algebra should certainly know how to solve the problem using formal algebra, as shown by the other tutor.<br><BR>\n" );
document.write( "But solving a problem like this informally, with logical reasoning and simple arithmetic, is good mental exercise.  It might go something like this:<br><BR>\n" );
document.write( "(1) If all 19 coins were nickels, the total face value would be 95 cents; the actual value is $1.55, or 155 cents.  The difference is 60 cents.<BR>\n" );
document.write( "(2) Exchanging a nickel for a dime keeps the number of coins the same and increases the face value by 5 cents.<BR>\n" );
document.write( "(3) The number of times a nickel needs to be exchanged for a dime, to make up the difference of 60 cents, is 60/5 = 12.<BR>\n" );
document.write( "(4) Therefore, the collection contains 12 dimes and 19-12 = 7 nickels.<br><BR>\n" );
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