document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=211023>Question 211023</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Sara has a collection of nickels, dimes, and quarters, worth $15.75. She has 10 more dimes than nickels and twice as many quarters as dimes. How many coins of each kind does she have? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #159418 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=159418\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Sara has a collection of nickels, dimes, and quarters, worth $15.75. She has 10 more dimes than nickels and twice as many quarters as dimes. How many coins of each kind does she have?<BR>\n" );
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document.write( "Value Eq.::: 5n + 10d + 25q = 1575 cents<BR>\n" );
document.write( "Quantity Eq: d = n + 10<BR>\n" );
document.write( "Quantity Eq: q = 2d<BR>\n" );
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document.write( "So n = d-10<BR>\n" );
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document.write( "Substitute in the Value Eq.:<BR>\n" );
document.write( "5(d-10) + 10d + 25*2d = 1575<BR>\n" );
document.write( "5d - 50 + 10d + 50d   = 1575<BR>\n" );
document.write( "65d = 1625<BR>\n" );
document.write( "d = 25 (# of dimes)<BR>\n" );
document.write( "n = d-10 = 15 (# of dimes)<BR>\n" );
document.write( "q = 2d = 50 (# of quarters)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.  </SPAN>\n" );
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