document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1170238>Question 1170238</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Bob, Sue, and Fred have $155 all together. Bob has $5 more than Sue and Fred together.  If Sue gives Fred $5, he will have twice as much as she does. How much does each person have?\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #795099 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=795099\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "I definitely would NOT use three variables to solve the problem, as the other tutor did....!<BR>\n" );
document.write( "Do some analysis of the problem to figure out how to set up and solve it with much less work.  My suggestion....<br><BR>\n" );
document.write( "(1) Since Bob had $5 more than Sue and Fred together, first divide the total $155 into two parts with one of them $5 more than the other.  You can do that mentally (informally), or you can use basic algebra.  That will give you $80 for Bob's share and $75 for Sue's and Fred's combined.<br><BR>\n" );
document.write( "(2) Finding Sue's share and Fred's share is a bit more complicated, so formal algebra is probably a good way to go.  (Of course, if the speed of getting an answer is important, good old trial and error will probably get you there faster.)<br><BR>\n" );
document.write( "x = Sue's share<BR>\n" );
document.write( "75-x = Fred's share<br><BR>\n" );
document.write( "x-5 = Sue's share after giving Fred $5<BR>\n" );
document.write( "80-x = Fred's share after getting $5 from Sue<br><BR>\n" );
document.write( "At this point, Fred has twice as much as Sue:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=80-x+=+2%28x-5%29 ALIGN=MIDDLE  ALT=\"80-x+=+2%28x-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=80-x+=+2x-10 ALIGN=MIDDLE  ALT=\"80-x+=+2x-10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90+=+3x ALIGN=MIDDLE  ALT=\"90+=+3x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30+=+x ALIGN=MIDDLE  ALT=\"30+=+x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "ANSWERS:<BR>\n" );
document.write( "Bob: $80<BR>\n" );
document.write( "Sue: $30<BR>\n" );
document.write( "Fred: $75-$30 = $45<br><BR>\n" );
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