document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=252889>Question 252889</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If a and b are different positive integers and 5a + b = 32, what is the sum of all possible values of a ?   \r<BR>\n" );
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document.write( "(A) 6      (B) 11     (C) 15     (D) 18     (E) 21\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #184991 by </B><A HREF=/tutors/aboutme.mpl?userid=vleith><B>vleith(2983)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=vleith><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=184991\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You could plot this and then find all the points in the first quadrant with positive values for x. then total.\r<BR>\n" );
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document.write( "Or you could just grind it out. let's grind<BR>\n" );
document.write( "a must be positive. So start with 1<BR>\n" );
document.write( "Plug in 1 for a and solve for b <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2A1+%2B+b+=+32 ALIGN=MIDDLE  ALT=\"5%2A1+%2B+b+=+32\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=+32-5+=+27 ALIGN=MIDDLE  ALT=\"b=+32-5+=+27\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Plug in 2 for a. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2Bb+=+32 ALIGN=MIDDLE  ALT=\"10%2Bb+=+32\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=22 ALIGN=MIDDLE  ALT=\"b=22\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Plug in 3 for a. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%2Bb+=+32 ALIGN=MIDDLE  ALT=\"15%2Bb+=+32\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=+17 ALIGN=MIDDLE  ALT=\"b=+17\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "4 yields b = 12<BR>\n" );
document.write( "5 yields b = 7<BR>\n" );
document.write( "6 yields b = 2<BR>\n" );
document.write( "7 yields b = -3\r<BR>\n" );
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document.write( "Since both a anfd b must be postive, then values for a are 1,2,3,4,5 and 6<BR>\n" );
document.write( "Sum them to get 21 </SPAN>\n" );
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