document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=256611>Question 256611</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Here is a word problem i am having trouble with. A coin collection contains nickels, dimes, and quarters. there are twice as many times as quarters and seven more nickels than dimes. the total value of all the coins is $2.00. how many quarters are in the collection<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #188714 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=188714\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Here is a word problem i am having trouble with. <BR>\n" );
document.write( "A coin collection contains nickels, dimes, and quarters. <BR>\n" );
document.write( "there are twice as many dimes as quarters<BR>\n" );
document.write( "d = 2q<BR>\n" );
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document.write( "and seven more nickels than dimes.<BR>\n" );
document.write( "n = d + 7<BR>\n" );
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document.write( "the total value of all the coins is $2.00.<BR>\n" );
document.write( "5n + 10d + 25q = 200 cents<BR>\n" );
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document.write( "How many quarters are in the collection?<BR>\n" );
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document.write( "Rearrange:<BR>\n" );
document.write( "q = (1/2)d<BR>\n" );
document.write( "n = d+7<BR>\n" );
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document.write( "Substitute into the value equation and solve for \"d\":<BR>\n" );
document.write( "5(d+7) + 10d + 25(1/2)d = 200<BR>\n" );
document.write( "5d + 35 + 10d + 12.5d = 200<BR>\n" );
document.write( "27.5d = 165<BR>\n" );
document.write( "d = 6 (# of nickels)<BR>\n" );
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document.write( "Since q = (1/2)d, q = (1/2)6 = 3 (# of quarters)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. <BR>\n" );
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