document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=563774>Question 563774</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A box of 40 coins contains nickels, dimes, and quarters. The total value of the coins is $4.00. If there were 3 times as many nickels, half as many dimes, and 6 more quarters, the value of the coins would be $5.50 How many quarters are in the box? Show work. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #365030 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=365030\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A box of 40 coins contains nickels, dimes, and quarters. The total value of the coins is $4.00. If there were 3 times as many nickels, half as many dimes, and 6 more quarters, the value of the coins would be $5.50 How many quarters are in the box?<BR>\n" );
document.write( "---------------------------<BR>\n" );
document.write( "Equations:<BR>\n" );
document.write( "n  +  d  + q  = 40 coins<BR>\n" );
document.write( "5n +10d +25q = 400 cents<BR>\n" );
document.write( "3(5n)+5d+25(q+6) = 550 cents<BR>\n" );
document.write( "------------------------------<BR>\n" );
document.write( "Solve the system by any means to get:<BR>\n" );
document.write( "# nickels = 12 <BR>\n" );
document.write( "# dimes   = 24   <BR>\n" );
document.write( "# quarters =  4<BR>\n" );
document.write( "================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );