document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=143228>Question 143228</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need some help with this word problem, setting it up to solve.  Thanks.\r<BR>\n" );
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document.write( "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 #104219 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=104219\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Number of dimes: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d ALIGN=MIDDLE  ALT=\"d\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Number of nickels: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n ALIGN=MIDDLE  ALT=\"n\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Value (in cents) of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d ALIGN=MIDDLE  ALT=\"d\"   DISABLED_style= \"max-width:90%; height:auto;\" > dimes: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10d ALIGN=MIDDLE  ALT=\"10d\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Value (in cents) of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n ALIGN=MIDDLE  ALT=\"n\"   DISABLED_style= \"max-width:90%; height:auto;\" > nickels:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5n ALIGN=MIDDLE  ALT=\"5n\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Value (in cents) of current collection: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=565 ALIGN=MIDDLE  ALT=\"565\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Number of dimes in the 'what if' collection: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2d ALIGN=MIDDLE  ALT=\"2d\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Number of nickels in the 'what if' collection: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+%2B+8 ALIGN=MIDDLE  ALT=\"n+%2B+8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Value (in cents) of the dimes in the 'what if' collection: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%282d%29 ALIGN=MIDDLE  ALT=\"10%282d%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Value (in cents) of the nickels in the 'what if' collection: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%28n%2B8%29 ALIGN=MIDDLE  ALT=\"5%28n%2B8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Value (in cents) of 'what if' collection: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1045 ALIGN=MIDDLE  ALT=\"1045\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10d%2B5n=565 ALIGN=MIDDLE  ALT=\"10d%2B5n=565\"   DISABLED_style= \"max-width:90%; height:auto;\" > and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%282d%29%2B5%28n%2B8%29=1045 ALIGN=MIDDLE  ALT=\"10%282d%29%2B5%28n%2B8%29=1045\"   DISABLED_style= \"max-width:90%; height:auto;\" > => <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20d%2B5n%2B40=1045 ALIGN=MIDDLE  ALT=\"20d%2B5n%2B40=1045\"   DISABLED_style= \"max-width:90%; height:auto;\" > => <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20d%2B5n=1005 ALIGN=MIDDLE  ALT=\"20d%2B5n=1005\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now you have 2 equations in 2 variables.  Solve for d.\r<BR>\n" );
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document.write( "I changed everything from dollars/cents to cents just because I prefer integer coefficients as opposed to decimal fraction coefficients. </SPAN>\n" );
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