document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1105533>Question 1105533</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have 27 coins that total $3.30. I have 3 times as many quarters as dimes; how many nickels do I have?  This is my question and I have tried several ways to set the problem up but none give me the correct answer. How do I begin to set this up?\r<BR>\n" );
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document.write( "Thank You,<BR>\n" );
document.write( "Iron Heart </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #720401 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=720401\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "With the information given in this way, I can't tell whether substitution or elimination would be easier.  Since the other tutor showed a solution using substitution, let me try elimination.<br><BR>\n" );
document.write( "That means using two variables:<BR>\n" );
document.write( "let x = number of dimes<BR>\n" );
document.write( "then 3x = number of quarters<BR>\n" );
document.write( "let y = number of nickels<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B3x%2By+=+27 ALIGN=MIDDLE  ALT=\"x%2B3x%2By+=+27\"   DISABLED_style= \"max-width:90%; height:auto;\" >  the total number of coins is 27<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%2By+=+27 ALIGN=MIDDLE  ALT=\"4x%2By+=+27\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%28x%29%2B25%283x%29%2B5%28y%29+=+330 ALIGN=MIDDLE  ALT=\"10%28x%29%2B25%283x%29%2B5%28y%29+=+330\"   DISABLED_style= \"max-width:90%; height:auto;\" >  the total value of the coins (in cents) is 330<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=85x%2B5y+=+330 ALIGN=MIDDLE  ALT=\"85x%2B5y+=+330\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2)<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=17x%2By+=+66 ALIGN=MIDDLE  ALT=\"17x%2By+=+66\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Subtracting (1) from (2):<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13x+=+39 ALIGN=MIDDLE  ALT=\"13x+=+39\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+3 ALIGN=MIDDLE  ALT=\"x+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "So the number of dimes is x=3; the number of quarters is 3x=9; and since the total number of coins is 27, the number of nickels is 15.<br><BR>\n" );
document.write( "HMMM.... Looks very different than the solution using substitution... and both methods seem to require about the same a mount of work....<BR>\n" );
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