document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=751645>Question 751645</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What are all the possible combinations of coins( using pennies, nickels, dimes and quarters) that equal 43 cents. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #457320 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=457320\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "The only way to solve this is to find a logical way to list them.\r<BR>\n" );
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document.write( "Two quarters is 50 cents, so it is only possible to have either one quarter or zero quarters.\r<BR>\n" );
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document.write( "Start with 1 quarter.  That leaves you with 18 cents to make up.  So, given that you have 1 quarter, the most dimes you can have is 1, leaving you 8 cents to make up, so you can have, at most, 1 nickel, and then 3 pennies.\r<BR>\n" );
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document.write( "Now take away the nickel and add 5 pennies, so 1 Q, 1 D, 0 N, 8 P.\r<BR>\n" );
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document.write( "Take away the dime, so:\r<BR>\n" );
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document.write( "1 Q, 0 D, 3 N, 3 P, or<BR>\n" );
document.write( "1 Q, 0 D, 2 N, 8 P, or<BR>\n" );
document.write( "1 Q, 0 D, 1 N, 13 P, or<BR>\n" );
document.write( "1 Q, 0 D, 0 N, 18 P\r<BR>\n" );
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document.write( "Take away the quarter, and now you can have up to 4 dimes:\r<BR>\n" );
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document.write( "0 Q, 4 D, 0 N, 3 P\r<BR>\n" );
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document.write( "And so on until you get down to 0 Q, 0 D, 0 N, 43 P.  You can follow the pattern and then count the possibilities for yourself.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "<font face=\"Math1\" size=\"+2\">Egw to Beta kai to Sigma</font><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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