document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=70905>Question 70905</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A coin bank contains nickels, dimes, and quarters totaling $5.45. If there are twice as many quarters as dimes and 11 more nickels than quarters, how many of each coins are in the bank? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #50653 by </B><A HREF=/tutors/aboutme.mpl?userid=mathmaven53><B>mathmaven53(29)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mathmaven53><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=50653\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let number of nickels be N<BR>\n" );
document.write( "number of dimes be D<BR>\n" );
document.write( "number of quarters be Q<BR>\n" );
document.write( "By the conditions of the problem<BR>\n" );
document.write( "D= 2Q<BR>\n" );
document.write( "Q = N + 11\r<BR>\n" );
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document.write( "The value of the coins is .05N + .1D + .25Q = 5.45\r<BR>\n" );
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document.write( "We have N = Q - 11\r<BR>\n" );
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document.write( "Substitute into equation for value of coins\r<BR>\n" );
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document.write( "  .05(Q - 11) + .2Q + .25Q = 5.45\r<BR>\n" );
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document.write( " Solving for Q gives Q = 12\r<BR>\n" );
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document.write( "  Then N = Q - 11<BR>\n" );
document.write( "         = 1\r<BR>\n" );
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document.write( " D = 2Q\r<BR>\n" );
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document.write( "   = 24\r<BR>\n" );
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document.write( " 1 nickel, 24 dimes , 12 quarters </SPAN>\n" );
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