document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=846562>Question 846562</A>: <I><SPAN STYLE=\"word-break: break-all;\">  Prove that a cashier with only dimes and quarters can make <BR>\n" );
document.write( "change for any multiple of 5 cents that is 20 cents or greater. \r<BR>\n" );
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document.write( "PROVE BY BASIC AND INDUCTIVE STEP </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #509833 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=509833\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Base case: 20 cents is doable with 2 dimes.\r<BR>\n" );
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document.write( "Assume 5k cents is doable where k >= 4. To make 5k+5 cents we can either replace two dimes with a quarter, or replace a quarter with three dimes. Since we must have either two dimes or a quarter (or both), one of the scenarios is possible, and hence we can make 5k+5 cents. </SPAN>\n" );
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