document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=364357>Question 364357</A>: <I><SPAN STYLE=\"word-break: break-all;\"> warren has 40 coins (all nickels, dimes, and quarters) worth 4.05. He has 7 more nicles than dimes. how many quarters 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 #259832 by </B><A HREF=/tutors/aboutme.mpl?userid=amoresroy><B>amoresroy(361)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=amoresroy><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=amoresroy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=259832\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> warren has 40 coins (all nickels, dimes, and quarters) worth 4.05. He has 7 more nicles than dimes. how many quarters does he have?\r<BR>\n" );
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document.write( "Let Q = number of quarters<BR>\n" );
document.write( "    N = number of nickels<BR>\n" );
document.write( "    D = number of dimes<BR>\n" );
document.write( "    N = D + 7\r<BR>\n" );
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document.write( "Equation 1 is\r<BR>\n" );
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document.write( "       Q + N + D = 40<BR>\n" );
document.write( "Substite       N = D + 7<BR>\n" );
document.write( "   Q + (D+7) + D = 40<BR>\n" );
document.write( "        Q + 2D   = 40-7<BR>\n" );
document.write( "        Q + 2D   = 33  <BR>\n" );
document.write( "            2D   = 33 - Q<BR>\n" );
document.write( "             D   = 16.5 - .5Q<BR>\n" );
document.write( "  \r<BR>\n" );
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document.write( "Equation 2 is\r<BR>\n" );
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document.write( "     .25Q + .05N + .10D = 4.05<BR>\n" );
document.write( "Substite  N = D + 7<BR>\n" );
document.write( " .25Q + .05(D+7) + .10D = 4.05<BR>\n" );
document.write( "       .25Q +.05D + .35 + .10D = 4.05<BR>\n" );
document.write( "       .25Q + .15D = 4.05 - .35<BR>\n" );
document.write( "       .25Q + .15D = 3.7\r<BR>\n" );
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document.write( "Since D  = 16.5 - .5Q in equation 1<BR>\n" );
document.write( "      .25Q + .15D = 3.7  (in equation 2) becomes\r<BR>\n" );
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document.write( " .25Q + .15(16.5-.5Q) = 3.7<BR>\n" );
document.write( " .25Q + 2.475 - .075Q = 3.7<BR>\n" );
document.write( "               .175Q  = 3.7 - 2.475<BR>\n" );
document.write( "                   Q  = 1.225/.175<BR>\n" );
document.write( "                   Q  = 7\r<BR>\n" );
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document.write( "      D = 16.5 - .5(7) = 13<BR>\n" );
document.write( "      N = D + 7 = 13 + 7 = 20\r<BR>\n" );
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document.write( "To check:\r<BR>\n" );
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document.write( ".25(7) + .05(20) + .10(13) = 4.05\r<BR>\n" );
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document.write( "Warren has 7 quarters             \r<BR>\n" );
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document.write( "     </SPAN>\n" );
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