document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=34459>Question 34459</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? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #20744 by </B><A HREF=/tutors/aboutme.mpl?userid=mukhopadhyay><B>mukhopadhyay(490)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mukhopadhyay><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=20744\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Nickels = x<BR>\n" );
document.write( "Dimes = y<BR>\n" );
document.write( ".05x+ .10y = 5.65 (based on total collection)<BR>\n" );
document.write( "=> 5x + 10y = 565.....(1)<BR>\n" );
document.write( "(.10)(2y)+(x+8)(.05) = 10.45 (Based on adjusted collection)<BR>\n" );
document.write( "=> .2y+.05x+.40 = 10.45<BR>\n" );
document.write( "=> .2y+.05x = 10.05<BR>\n" );
document.write( "=> 5x+20y = 1005.......(2)<BR>\n" );
document.write( "(2) minus (1) gives,<BR>\n" );
document.write( "10y = 440<BR>\n" );
document.write( "=> y = 44;<BR>\n" );
document.write( "From (1) 5x = 565-10y = 565-440 = 125<BR>\n" );
document.write( "=> x = 125/5 = 25;<BR>\n" );
document.write( "Answer: Number of dimes = 44; </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );