document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1162718>Question 1162718</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A parking meter contains quarters and nickels worth ​$13.45. There are 89 coins in all. Find how many of each there are.\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #786579 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</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=786579\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Let's use cents instead of dollars so we don't have to write all those decimals. The total value of the coins is 1345 cents.<br><BR>\n" );
document.write( "If a formal algebraic solution is not required, and if you are good with mental math, then this problem can be solved quickly and easily using logical reasoning.<br><BR>\n" );
document.write( "If the 89 coins were all nickels, the value would be $4.45, or 445 cents.<BR>\n" );
document.write( "The actual value, 1345 cents, is 900 cents more than that.<BR>\n" );
document.write( "Trading a nickel for a quarter keeps the number of coins at 89 but increases the total value by 25-5 = 20 cents.<BR>\n" );
document.write( "To make up the addition 900 cents, the number of quarters you need is 900/20 = 45.<br><BR>\n" );
document.write( "ANSWER: 45 quarters, and 89-45 = 44 nickels.<br><BR>\n" );
document.write( "CHECK: 45(25)+44(5) = 1125+220 = 1345<br><BR>\n" );
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