document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=493471>Question 493471</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I cannot figure this one out. Can you please help me?<BR>\n" );
document.write( "there was 48 nickles, dimes, and quarters whose value was $8.25. If there were twice as many quarters as dimes, how many coins of each kind were there? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #335355 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=335355\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> there was 48 nickles, dimes, and quarters whose value was $8.25. If there were twice as many quarters as dimes, how many coins of each kind were there?<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Equations:<BR>\n" );
document.write( "Quantity:  n + d + q = 48 coins<BR>\n" );
document.write( "Quantity:: q = 2d <BR>\n" );
document.write( "Value::: 5n + 10d + 25q = 825 cents<BR>\n" );
document.write( "-----------------------------------------<BR>\n" );
document.write( "Substitute for \"q\":<BR>\n" );
document.write( "n + d + 2d = 48<BR>\n" );
document.write( "5n + 10d + 25(2d) = 825<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Simplify:<BR>\n" );
document.write( "n + 3d = 48<BR>\n" );
document.write( "5n+60d = 825<BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "Multiply thru the 1st equation by 5<BR>\n" );
document.write( "5n + 15d = 240<BR>\n" );
document.write( "5n + 60d = 825<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Subtract and solve for \"d\":<BR>\n" );
document.write( "45d = 585<BR>\n" );
document.write( "d = 13 (# of dimes)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "q = 2d = 26 (# of quarters)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "n + 3d = 48<BR>\n" );
document.write( "n + 39 = 48<BR>\n" );
document.write( "n = 9 (# of nickels)<BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "============= </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );