document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=201379>Question 201379</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A coin bank contains 25 coins in nickles, dimes and quarters. There are four times as many dimes as quarters. The value of the coins is $2.05. How many dimes 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 #151640 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=151640\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I believe your answer is going to be\r<BR>\n" );
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document.write( "15 nickels (75 cents)<BR>\n" );
document.write( "8 dimes     (80 cents)<BR>\n" );
document.write( "2 quarters   (50 cents)\r<BR>\n" );
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document.write( "that adds up to be $2.05\r<BR>\n" );
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document.write( "here's how I did it.\r<BR>\n" );
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document.write( "let n = number of nickels<BR>\n" );
document.write( "let d = number of dimes<BR>\n" );
document.write( "let q = number of quarters\r<BR>\n" );
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document.write( "n + d + q = 25 (number of coins in total)\r<BR>\n" );
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document.write( "number of dimes is 4 times the number of quarters (n = 4d)\r<BR>\n" );
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document.write( "total value of coins is $2.05\r<BR>\n" );
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document.write( "$.05 * n + $.10 * d + $.25 * q = $2.05\r<BR>\n" );
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document.write( "take away the dollar sign and multiply both sides of the equation by 100 and you get\r<BR>\n" );
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document.write( "5n + 10d + 25q = 205\r<BR>\n" );
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document.write( "since d = 4q you can substitute to get\r<BR>\n" );
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document.write( "5n + 40q + 25q = 205\r<BR>\n" );
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document.write( "since n + d + q = 25 you can substitute 4q for d again to get\r<BR>\n" );
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document.write( "n + 5q = 25\r<BR>\n" );
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document.write( "solve for n to get\r<BR>\n" );
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document.write( "n = 25 - 5q\r<BR>\n" );
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document.write( "multiply both sides of the equation by 5 to get\r<BR>\n" );
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document.write( "5n = 125 - 25q\r<BR>\n" );
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document.write( "substitute in the equation 5n + 40q + 25q = 205 to get\r<BR>\n" );
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document.write( "125 - 25q + 40q + 25q = 205\r<BR>\n" );
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document.write( "simplify the left side of the equation to get\r<BR>\n" );
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document.write( "125 + 40q = 205\r<BR>\n" );
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document.write( "solve for q to get\r<BR>\n" );
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document.write( "40q = 80\r<BR>\n" );
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document.write( "q = 2\r<BR>\n" );
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document.write( "since d = 4q, then d = 8\r<BR>\n" );
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document.write( "since n + d + q = 25, then n = 15\r<BR>\n" );
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document.write( "your answer is\r<BR>\n" );
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document.write( "n = 15<BR>\n" );
document.write( "d = 8<BR>\n" );
document.write( "q = 2\r<BR>\n" );
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document.write( "as shown above.\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );