document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=433657>Question 433657</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You are given the equation 3a + b = 200 where a and b are positive integers.  Determine the number of solutions (a,b) for the given equation.<BR>\n" );
document.write( "HELP!!!!!!!!!!!!!!!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #300651 by </B><A HREF=/tutors/aboutme.mpl?userid=psbhowmick><B>psbhowmick(878)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=psbhowmick><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=psbhowmick><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=300651\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3a+%2B+b+=+200 ALIGN=MIDDLE  ALT=\"3a+%2B+b+=+200\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+%28200+-+b%29%2F3 ALIGN=MIDDLE  ALT=\"a+=+%28200+-+b%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" > has to be a positive integer then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=200+-+b ALIGN=MIDDLE  ALT=\"200+-+b\"   DISABLED_style= \"max-width:90%; height:auto;\" > has to be a multiple of 3.\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=200-b ALIGN=MIDDLE  ALT=\"200-b\"   DISABLED_style= \"max-width:90%; height:auto;\" > can be 3, 6, 9,...., 198.\r<BR>\n" );
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document.write( "Thus 66 solutions are possible.\r<BR>\n" );
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document.write( "P.S.: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=b=0 ALIGN=MIDDLE  ALT=\"a=b=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > cannot be a solution since both <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" > has to be positive. </SPAN>\n" );
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