document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1192482>Question 1192482</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Kevin and randy must have a jar containing 36 coins, all of which are either quarter or nickel. The total value of the coins in the jar is $4.60. How many of each type of coin do they have? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #824372 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13216)</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=824372\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The other tutor showed a good typical formal algebraic solution.<br><BR>\n" );
document.write( "You can get some good mental exercise by solving the problem informally using logical reasoning and simple mental arithmetic.<br><BR>\n" );
document.write( "(1) 36 coins all nickels would have a value of $1.80<BR>\n" );
document.write( "(2) The actual total was $4.60<BR>\n" );
document.write( "(3) The difference is $2.80<BR>\n" );
document.write( "(4) The value of each quarter is $0.20 more than the value of each quarter<BR>\n" );
document.write( "(5) The number of quarters is $2.80/$0.20 = 14<BR>\n" );
document.write( "(6) The number of nickels is 36-14=22<br><BR>\n" );
document.write( "ANSWER: 14 quarters and 22 nickels<br><BR>\n" );
document.write( "CHECK: 14($0.25)+22($0.05) = $3.50+$1.10 = $4.60<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );