document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1169800>Question 1169800</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi<BR>\n" );
document.write( "John has 36 coins  comprising 20c 50c and $1 coins. He has twice as many $1 coins as 20c coins and the value of the 50c coins $4.40 more than the total value of the 20c coins.\r<BR>\n" );
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document.write( "How many $1 coins does he have.\r<BR>\n" );
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document.write( "Thanks \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 #794647 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=794647\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Let x be the number of 20c coins.<br><BR>\n" );
document.write( "Then 2x is the number of $1 coins (twice as many as 20 cent coins).<br><BR>\n" );
document.write( "Then 36-3x is the number of 50c coins (the total number of coins is 36).<br><BR>\n" );
document.write( "The value of the 50c coins is $4.40 more than the value of the 20c coins:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50%2836-3x%29+=+20%28x%29%2B440 ALIGN=MIDDLE  ALT=\"50%2836-3x%29+=+20%28x%29%2B440\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1800-150x+=+20x%2B440 ALIGN=MIDDLE  ALT=\"1800-150x+=+20x%2B440\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1360+=+170x ALIGN=MIDDLE  ALT=\"1360+=+170x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+8 ALIGN=MIDDLE  ALT=\"x+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "ANSWER: The number of $1 coins is 2x = 16.<br><BR>\n" );
document.write( "The solution can be found much more quickly informally using logical reasoning and a bit of simple arithmetic.<br><BR>\n" );
document.write( "For the difference between the value of the 50c coins and the 20c coins to be $4.40, the value of the 50c coins must be a whole dollar amount and the number of 20c coins must be 3, or 8, or 13, or....<br><BR>\n" );
document.write( "Now do some quick trial and error arithmetic:<br><BR>\n" );
document.write( "3 20c coins (value $0.60) means 10 50c coins (value $5.00); 3 20c coins means 2*3=6 $1 coins.  The total number of coins is 3+10+6 = 19.  Not right....<br><BR>\n" );
document.write( "8 20c coins (value $1.60) means 12 50c coins (value $6.00); 8 20c coins means 2*8=16 $1 coins.  The total number of coins is 8+12+16 = 36. CORRECT!<br><BR>\n" );
document.write( "ANSWER: 16 $1 coins<br><BR>\n" );
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