document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=181998>Question 181998</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0495554030/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Rita has a collection of 105 coins consisting of nickels, dimes, and quarters. The number of dimes is 5 more than one-third the number of nickels, and the number of quarters is twice the number of dimes. how many coins of each kind does she have????\r<BR>\n" );
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document.write( "I would like help I don't know how to start. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #136611 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=136611\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Rita has a collection of 105 coins consisting of nickels, dimes, and quarters. The number of dimes is 5 more than one-third the number of nickels, and the number of quarters is twice the number of dimes. how many coins of each kind does she have???? <BR>\n" );
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document.write( "Let x = number of nickels<BR>\n" );
document.write( "then<BR>\n" );
document.write( "from:\"number of dimes is 5 more than one-third the number of nickels\"<BR>\n" );
document.write( "(1/3)x + 5 = number of dimes<BR>\n" );
document.write( "x/3 + 5 = number of dimes<BR>\n" );
document.write( "from:\"number of quarters is twice the number of dimes\"<BR>\n" );
document.write( "2((1/3)x + 5) = number of quarters<BR>\n" );
document.write( "2x/3 + 10 = number of quarters<BR>\n" );
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document.write( "Our equation comes from the fact that there are 105 total coins:<BR>\n" );
document.write( "x + (x/3 + 5) + (2x/3 + 10) = 105<BR>\n" );
document.write( "Now, we solve for 'x'.  Start by multiplying both sides by 3:<BR>\n" );
document.write( "3x + x + 15 + 2x + 30 = 315<BR>\n" );
document.write( "6x + 45 = 315<BR>\n" );
document.write( "6x = 270<BR>\n" );
document.write( "x = 45 (number  of nickels)<BR>\n" );
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document.write( "dimes:<BR>\n" );
document.write( "x/3 + 5 = 45/3 + 5 = 15 + 5 = 20 (number of dimes)<BR>\n" );
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document.write( "quarters:<BR>\n" );
document.write( "2x/3 + 10 = 2(45)/3 + 10 = 90/3 + 10 = 30 + 10 = 40 (number of quarters)<BR>\n" );
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