document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=127486>Question 127486</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I got stuck on this problem here: When Jim cleaned out the fountain in front of the mayor's house, he found 20 nickels and quarters. The mixture of coins totaled up to $2.60. How many quarters did Jim find? \r<BR>\n" );
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document.write( "Thanks in advance! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #93405 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=93405\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let N = the number of nickels and Q = the number of quarters.<BR>\n" );
document.write( "Then:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N%2BQ+=+20 ALIGN=MIDDLE  ALT=\"N%2BQ+=+20\"   DISABLED_style= \"max-width:90%; height:auto;\" > This is the total number of coins.<BR>\n" );
document.write( "The value of N nickels is just <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.05N ALIGN=MIDDLE  ALT=\"0.05N\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and the value of Q quarters is just <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.25Q ALIGN=MIDDLE  ALT=\"0.25Q\"   DISABLED_style= \"max-width:90%; height:auto;\" > and the sum of these is $2.60<BR>\n" );
document.write( "So now we have two equations:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N%2BQ+=+20 ALIGN=MIDDLE  ALT=\"N%2BQ+=+20\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite this as: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N+=+20-Q ALIGN=MIDDLE  ALT=\"N+=+20-Q\"   DISABLED_style= \"max-width:90%; height:auto;\" > and substitute in the equation below:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.05N%2B0.25Q+=+2.60 ALIGN=MIDDLE  ALT=\"0.05N%2B0.25Q+=+2.60\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.05%2820-Q%29%2B0.25Q+=+2.60 ALIGN=MIDDLE  ALT=\"0.05%2820-Q%29%2B0.25Q+=+2.60\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify and combine like-terms.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1-0.05Q%2B0.25Q+=+2.60 ALIGN=MIDDLE  ALT=\"1-0.05Q%2B0.25Q+=+2.60\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2B0.2Q+=+2.60 ALIGN=MIDDLE  ALT=\"1%2B0.2Q+=+2.60\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 1 from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.2Q+=+1.6 ALIGN=MIDDLE  ALT=\"0.2Q+=+1.6\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 0.2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Q+=+8 ALIGN=MIDDLE  ALT=\"Q+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Jim found 8 quarters. <BR>\n" );
document.write( "Check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.05N%2B0.25Q+=+2.60 ALIGN=MIDDLE  ALT=\"0.05N%2B0.25Q+=+2.60\"   DISABLED_style= \"max-width:90%; height:auto;\" > Substitute Q = 8 and N = 20-8 = 12.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.05%2812%29%2B0.25%288%29+=+2.60 ALIGN=MIDDLE  ALT=\"0.05%2812%29%2B0.25%288%29+=+2.60\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.60%2B2.00+=+2.60 ALIGN=MIDDLE  ALT=\"0.60%2B2.00+=+2.60\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.60+=+2.60 ALIGN=MIDDLE  ALT=\"2.60+=+2.60\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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