document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1090467>Question 1090467</A>: <I><SPAN STYLE=\"word-break: break-all;\">  please help me with the equation:  Three partners, James, Jacob and Joshua, have an agreement which specifies that profits are to be divided as follows:<BR>\n" );
document.write( "  Calculate each partner's share if the profit for a particular year was $60 000.<BR>\n" );
document.write( "James to receive $2 000 less than the total of Jacob and Joshua to receive 5 times as such as Jacob. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #704907 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=704907\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br>\"James to receive $2 000 less than the total of Jacob and Joshua to receive 5 times as much as Jacob.\"<br><BR>\n" );
document.write( "<br>That statement does not make sense grammatically; there is no way to interpret it in a meaningful way.  I can make sense out of \"James to receive $2 000 less than the total of Jacob and Joshua\"; but then the rest of the sentence has no meaning.<br><BR>\n" );
document.write( "Take a look at it and see if you didn't leave something out, or in some other way not present the information correctly.<br><BR>\n" );
document.write( "<br><br><BR>\n" );
document.write( "Thanks for the clarification.  I suspected that was what you were trying to say, but I wasn't sure.<br><BR>\n" );
document.write( "So the amount James gets is 2000 less than the total the Jacob and Joshua get, and Joshua gets 5 times as much as Jacob.<br><BR>\n" );
document.write( "A formal algebraic solution might look like this:<BR>\n" );
document.write( "let x = amount Jacob gets<BR>\n" );
document.write( "then 5x = amount Joshua gets<BR>\n" );
document.write( "then 6x - 2000 = amount James gets<br><BR>\n" );
document.write( "The total is 60,000, so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B5x%2B6x-2000=60000 ALIGN=MIDDLE  ALT=\"x%2B5x%2B6x-2000=60000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12x-2000=60000 ALIGN=MIDDLE  ALT=\"12x-2000=60000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12x+=+62000 ALIGN=MIDDLE  ALT=\"12x+=+62000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+5166.67 ALIGN=MIDDLE  ALT=\"x+=+5166.67\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Having that amount turn out to be not a whole number is not pleasant....<br><BR>\n" );
document.write( "So the amounts each gets are<BR>\n" );
document.write( "Jacob: x = $5166.67<BR>\n" );
document.write( "Joshua: 5x = $25833.33<BR>\n" );
document.write( "James: 6x-2000 = $29000<br><BR>\n" );
document.write( "<br>An informal solution is probably easier than that, especially since our value for x in the algebraic solution turned out not to be a whole number.<br><BR>\n" );
document.write( "James is to get $2000 less than the total that Jacob and Joshua get.  If he got exactly the same as the other two together, he would get $30000 and they together would get $30000.  But since he is to get $2000 less than the other two together, the $60000 would be divided with $29000 going to James and $31000 to the other two.<br><BR>\n" );
document.write( "So we already know the amount that James gets; then to finish the problem we just need to divide the $31000 that Jacob and Joshua get in such a way that Joshua gets 5 times as much as Jacob.<br><BR>\n" );
document.write( "Since Joshua gets 5 times as much as Jacob, the ratio is 5:1, which means Jacob gets 1/6 of the $31000, which is $5166.67, and Joshua gets the rest of the $31000, which is $25833.33. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );