document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=193524>Question 193524</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Joe has a collection of nickels and dimes that is worth $6.05.   If the number of dimes was doubled and the number of nickels was decreased by 10, the value of the coins would be $9.85.  How many dimes does he have?\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #145332 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=145332\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Joe has a collection of nickels and dimes that is worth $6.05.<BR>\n" );
document.write( "If the number of dimes was doubled and the number of nickels was decreased by 10,<BR>\n" );
document.write( " the value of the coins would be $9.85.<BR>\n" );
document.write( "  How many dimes does he have?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Write an equation for each statement:<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\"Joe has a collection of nickels and dimes that is worth $6.05.\" <BR>\n" );
document.write( ".05n + .10d = 6.05<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\"If the number of dimes was doubled and the number of nickels was decreased by<BR>\n" );
document.write( " 10, the value of the coins would be $9.85.\"<BR>\n" );
document.write( ".05(n-10) + .10(2d) = 9.85<BR>\n" );
document.write( ".05n - .50 + .20d = 9.85<BR>\n" );
document.write( ".05n + .20d = 9.85 + .50<BR>\n" );
document.write( ".05n + .20d = 10.35<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Subtract the 1st equation from the above:<BR>\n" );
document.write( ".05n + .20d = 10.35<BR>\n" );
document.write( ".05n + .10d =  6.05<BR>\n" );
document.write( "---------------------Subtraction eliminates n find d<BR>\n" );
document.write( ".10d = 4.30<BR>\n" );
document.write( "d = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4.3%2F.1 ALIGN=MIDDLE  ALT=\"4.3%2F.1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "d = 43 dimes is what he has<BR>\n" );
document.write( ";<BR>\n" );
document.write( ":<BR>\n" );
document.write( "That's the answer they want, but to check the problem we have to find n<BR>\n" );
document.write( ".05n + .10(43) = 6.05 <BR>\n" );
document.write( ".05n + 4.30 = 6.05<BR>\n" );
document.write( ".05n = 6.05 - 4.30<BR>\n" );
document.write( ".05n = 1.75<BR>\n" );
document.write( "n = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.75%2F.05 ALIGN=MIDDLE  ALT=\"1.75%2F.05\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "n = 35 dimes<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check solution in the 2nd equation<BR>\n" );
document.write( ".05(n-10) + .10(2d) = <BR>\n" );
document.write( ".05(25) + .10(86) =<BR>\n" );
document.write( "1.25 + 8.60 = 9.85; confirms out solution of 43 dimes<BR>\n" );
document.write( " \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );