document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=527199>Question 527199</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Mike said \" guess how many coins and dollar bills I have in my pocket. Their value is $13.40, and I have three times as many quarters as dimes. How many of each coin do I have?\" </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #348824 by </B><A HREF=/tutors/aboutme.mpl?userid=oberobic><B>oberobic(2304)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=oberobic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=348824\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> With coin problems, you have to keep track of the count of coins and their values.<BR>\n" );
document.write( "d = number of dimes<BR>\n" );
document.write( "10d = value of dimes in cents<BR>\n" );
document.write( "q = number of quarters<BR>\n" );
document.write( "25q = value of quarters in cents<BR>\n" );
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document.write( "10d + 25q = 1340 cents<BR>\n" );
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document.write( "Mike has 3 time as many quarters as dimes, so we would state<BR>\n" );
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document.write( "q = 3d<BR>\n" );
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document.write( "10d +25(3d) = 1340<BR>\n" );
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document.write( "10d + 75d = 1340<BR>\n" );
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document.write( "85d = 1340<BR>\n" );
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document.write( "d = 1340/85<BR>\n" );
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document.write( "At this point, the problem is that 1340/85 is not an integer.<BR>\n" );
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document.write( "Since you cannot have fractional dimes, you have to successively determine the point where you get an integer from the division.  You can do this by subtracting 100 cents (1 dollar) again and again.  Or you might notice that 85*4 = 170*2 = 340.  <BR>\n" );
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document.write( "That would mean Mike has 10 $1 bills in his pocket, 4 dimes and 12 quarters.<BR>\n" );
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document.write( "Check the solution to determine if it is the answer.<BR>\n" );
document.write( "25(12) = 300 cents<BR>\n" );
document.write( "10(4) = 40 cents<BR>\n" );
document.write( "10 * 100 = 1000 cents<BR>\n" );
document.write( "300 + 40 + 1000 = 1340 cents = $13.40<BR>\n" );
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document.write( "Done. </SPAN>\n" );
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