document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1033646>Question 1033646</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi Could you help me solve this problem \r<BR>\n" );
document.write( "\n" );
document.write( "If Austin has 13 nickels and dimes in his pocket, and they have a combined value of 105 cents, how many of each coin does he have? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #648289 by </B><A HREF=/tutors/aboutme.mpl?userid=fractalier><B>fractalier(6550)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fractalier><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=fractalier><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=648289\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Call their numbers n and d.  Then we can write<BR>\n" );
document.write( "n + d = 13<BR>\n" );
document.write( "The value equation for them is<BR>\n" );
document.write( "5n + 10d = 105<BR>\n" );
document.write( "Now multiply the top equation by 5 and subtract from the bottom equation...we get<BR>\n" );
document.write( "5n + 10d = 105<BR>\n" );
document.write( "-(5n + 5d = 65)<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "5d = 40<BR>\n" );
document.write( "d = 8 dimes which means there are 13-8 =<BR>\n" );
document.write( "n = 5 nickels<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );