document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=29214>Question 29214</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose a country has only two denomination of coins: $0.05 coins and $0.07 coins. Determine all monetry values that can be obtained using only coins. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #16029 by </B><A HREF=/tutors/aboutme.mpl?userid=bmauger><B>bmauger(101)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bmauger><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=16029\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Start with your 5 cent piece. With it by itself you can come up with the values (in pennies) of:<BR>\n" );
document.write( "5, 10, 15, 20, 25... etc. e.g. all values divisible by 5 can be paid for.<BR>\n" );
document.write( "Now with a 7 cent piece and three five cent pieces you can come up:<BR>\n" );
document.write( "7, 12, 17, 22, 27<BR>\n" );
document.write( "And with two 7 cent pieces and two nickels you can come up with:<BR>\n" );
document.write( "7, 14, 19, 24 <BR>\n" );
document.write( "Three 7-cent pieces & a nickel you can come up with:<BR>\n" );
document.write( "7, 14, 21, 26 <BR>\n" );
document.write( "Four 7-cent pieces...<BR>\n" );
document.write( "7, 14, 21, 28 <BR>\n" );
document.write( "Now looking at the list you'll see that we have values of:<BR>\n" );
document.write( "24=two seven cent pieces and two nickels<BR>\n" );
document.write( "25=five nickels<BR>\n" );
document.write( "26=three seven cent pieces and one nickel<BR>\n" );
document.write( "27=one seven cent piece and four nickels AND<BR>\n" );
document.write( "28=four seven cent pieces<BR>\n" );
document.write( "Since that covers 5 numbers in a row (24 through 28) you can create every number above by adding more nickels to one of the five numbers.<br><BR>\n" );
document.write( "For instance 106=26 + 80 = three seven cent pieces + (1 + 16) nickels...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%287%29%2B17%285%29=21%2B85=106 ALIGN=MIDDLE  ALT=\"3%287%29%2B17%285%29=21%2B85=106\"   DISABLED_style= \"max-width:90%; height:auto;\" > (Granted there might be other ways to get to 106, but the point is we can get to any value adding nickels to one of these combinations)<br><BR>\n" );
document.write( "So you can make every number above 24 cents, plus all the other numbers listed:<BR>\n" );
document.write( "Your answer then is:<BR>\n" );
document.write( "5, 7, 10, 12, 14, 15, 17, 19, 20, 21, 22, and 24 and above. </SPAN>\n" );
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