document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=187524>Question 187524</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the problem: Joe has a collection of nickels and dimes that is worth $6.00.  If the number of dimes was doubled and the number of nickels was increased by 6, the value of the coins would be $9.90.\r<BR>\n" );
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document.write( "How many dimes does he have?<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 #140595 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=140595\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> oe has a collection of nickels and dimes that is worth $6.00.<BR>\n" );
document.write( " If the number of dimes was doubled and the number of nickels was increased by 6,<BR>\n" );
document.write( " the value of the coins would be $9.90.<BR>\n" );
document.write( "How many dimes does he have?<BR>\n" );
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document.write( "Let n = no. of nickels; Let d = no. of dimes (originally)<BR>\n" );
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document.write( "\"a collection of nickels and dimes that is worth $6.00.\"<BR>\n" );
document.write( ".05n + .10d = 6.00<BR>\n" );
document.write( "or <BR>\n" );
document.write( ".05n = 6.00 - .10d<BR>\n" );
document.write( "n = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F.05 ALIGN=MIDDLE  ALT=\"6%2F.05\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.10%2F.05 ALIGN=MIDDLE  ALT=\".10%2F.05\"   DISABLED_style= \"max-width:90%; height:auto;\" >d<BR>\n" );
document.write( "n = 120 - 2d<BR>\n" );
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document.write( "\"If the number of dimes was doubled and the number of nickels was increased by 6, the value of the coins would be $9.90.\"<BR>\n" );
document.write( ".05(n+6) + 2(.10d) =  9.90<BR>\n" );
document.write( ".05n + .3 + .20d = 9.90<BR>\n" );
document.write( ".05n + .20d = 9.90 - .3<BR>\n" );
document.write( ".05n + .20d = 9.60<BR>\n" );
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document.write( "Substitute (120-2d) for n in the above equation:<BR>\n" );
document.write( ".05(120-2d) + .20d = 9.60<BR>\n" );
document.write( "6 - .10d + .20d = 9.60<BR>\n" );
document.write( "-.10d + .20d = 9.60 - 6<BR>\n" );
document.write( ".10d = 3.60<BR>\n" );
document.write( "d = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3.6%2F.1 ALIGN=MIDDLE  ALT=\"3.6%2F.1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "d = 36 dimes<BR>\n" );
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document.write( "Find the no. of nickels to check our solution<BR>\n" );
document.write( "n = 120 - 2d<BR>\n" );
document.write( "n = 120 - 2(36)<BR>\n" );
document.write( "n = 120 - 72<BR>\n" );
document.write( "n = 48 nickels<BR>\n" );
document.write( ";<BR>\n" );
document.write( ".05(48) + .10(36) = <BR>\n" );
document.write( "2.40 + 3.60 = 6.00; confirms our solution </SPAN>\n" );
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