document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=542374>Question 542374</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Phil has 50 nickels and dimes worth $4.15.  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 #354536 by </B><A HREF=/tutors/aboutme.mpl?userid=neatmath><B>neatmath(302)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=neatmath><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=neatmath><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=354536\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><font face=\"Tahoma\">Our two variables are:<br>\r<BR>\n" );
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document.write( "n number of nickels<br>\r<BR>\n" );
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document.write( "d number of dimes<br>\r<BR>\n" );
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document.write( "Our two equations are now:<br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%2Bd=50 ALIGN=MIDDLE  ALT=\"n%2Bd=50\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.05%2An%2B.10%2Ad=4.15 ALIGN=MIDDLE  ALT=\".05%2An%2B.10%2Ad=4.15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "We can then solve this system of two equations by elimination or substitution.<br>\r<BR>\n" );
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document.write( "I will try substitution.  I will solve for n in the first equation:<br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=50-d ALIGN=MIDDLE  ALT=\"n=50-d\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "Then I will multiply the second equation by 100 to make it easier to deal with:<br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5n%2B10d=415 ALIGN=MIDDLE  ALT=\"5n%2B10d=415\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "Then I will substitute 50-d in for n in our new equation:<br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2A%2850-d%29%2B10d=415 ALIGN=MIDDLE  ALT=\"5%2A%2850-d%29%2B10d=415\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=250-5d%2B10d=415 ALIGN=MIDDLE  ALT=\"250-5d%2B10d=415\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=250%2B5d=415 ALIGN=MIDDLE  ALT=\"250%2B5d=415\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5d=165 ALIGN=MIDDLE  ALT=\"5d=165\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=33 ALIGN=MIDDLE  ALT=\"d=33\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "Thus we now know that we have 33 dimes! (which is the answer)<br>\r<BR>\n" );
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document.write( "And of course, we also know that we have 17 nickels.<br>\r<BR>\n" );
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document.write( "You can easily double check this by using our original second equation.<br>\r<BR>\n" );
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document.write( "I hope this helps!<br> </SPAN>\n" );
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