document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=143312>Question 143312</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Joe has a collection of nickels and dimes that is worth $5.65. If the number of dimes were doubled and the number of nickels were increased by 8, the value of the coins would be $10.45. How many dimes does he have?\r<BR>\n" );
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document.write( "The answer I got is $6.19. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #104303 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=104303\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "AT LEAST YOU TRIED BUT THE PROBLEM IS ASKING FOR A NUMBER (HOW MANY DIMES?)-NOT AN AMOUNT.\r<BR>\n" );
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document.write( "Let x=number of nickels<BR>\n" );
document.write( "And let y=number of dimes<BR>\n" );
document.write( "Now, we are told the following ($ understood):\r<BR>\n" );
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document.write( "0.05x+0.10y=5.65-----------------------------------------eq1\r<BR>\n" );
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document.write( "and\r<BR>\n" );
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document.write( "0.05(x+8)+0.10*2y=10.45 simplify\r<BR>\n" );
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document.write( "0.05x+0.4+0.20y=10.45  subtract 0.4 from each side\r<BR>\n" );
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document.write( "0.05x+0.20y=10.05---------------------------------------eq2\r<BR>\n" );
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document.write( "subtract eq1 from eq2 and we get:<BR>\n" );
document.write( "0.10y=4.40  divide each side by 0.10\r<BR>\n" );
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document.write( "y=44--------------------------------------number of dimes\r<BR>\n" );
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document.write( "substitute y=44 into eq1\r<BR>\n" );
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document.write( "0.05x+0.10*44=5.65<BR>\n" );
document.write( "0.05x+4.40=5.65  subtract 4.40 from each side<BR>\n" );
document.write( "0.05x=1.25  divide each side by 0.05<BR>\n" );
document.write( "x=25---------------------------------------------number of nickels\r<BR>\n" );
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document.write( "CK\r<BR>\n" );
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document.write( "25*0.05+44*0.10=5.65<BR>\n" );
document.write( "1.25+4.40=5.65<BR>\n" );
document.write( "5.65=5.65<BR>\n" );
document.write( "and<BR>\n" );
document.write( "0.10*88+0.05*33=10.45<BR>\n" );
document.write( "8.80+1.65=10.45<BR>\n" );
document.write( "10.45=10.45\r<BR>\n" );
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document.write( "Hope this helps-----ptaylor\r<BR>\n" );
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document.write( " </SPAN>\n" );
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