document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1206119>Question 1206119</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi<BR>\n" );
document.write( "Haresh gave 40% of his money and an additional $5 to Bob. He gave 75% of his remaining money and an additional $6 to Karen. The amount of money haresh had at the end was $44 less than what he gave to Karen. Find the amount haresh gave to Bob. <BR>\n" );
document.write( "This is word for word from my sons textbook.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #843372 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=843372\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "As another tutor says specifically, a problem like this is usually easier to set up using three variables; but often then solving the problem is more difficult.<br><BR>\n" );
document.write( "I generally prefer setting up the problem using a single variable, which usually makes solving the problem easier.  Let's see what happens....<br><BR>\n" );
document.write( "x = amount he started with<br><BR>\n" );
document.write( "amount he gave to Bob: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2F5%29x%2B5 ALIGN=MIDDLE  ALT=\"%282%2F5%29x%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "amount he had left: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-%28%282%2F5%29x%2B5%29=%283%2F5%29%28x%29-5 ALIGN=MIDDLE  ALT=\"x-%28%282%2F5%29x%2B5%29=%283%2F5%29%28x%29-5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "amount he gave to Karen: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2F4%29%28%283%2F5%29%28x%29-5%29%2B6 ALIGN=MIDDLE  ALT=\"%283%2F4%29%28%283%2F5%29%28x%29-5%29%2B6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "amount he had left: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%283%2F5%29%28x%29-5%29-%283%2F4%29%28%283%2F5%29%28x%29-5%29%2B6=%281%2F4%29%28%283%2F5%29%28x%29-5%29-6 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The amount he had left was $44 less than the amount he gave Karen:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F4%29%28%283%2F5%29%28x%29-5%29-6=%283%2F4%29%28%283%2F5%29%28x%29-5%29%2B6-44=%283%2F4%29%28%283%2F5%29%28x%29-5%29-38 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=32=%281%2F2%29%28%283%2F5%29%28x%29-5%29 ALIGN=MIDDLE  ALT=\"32=%281%2F2%29%28%283%2F5%29%28x%29-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=64=%283%2F5%29%28x%29-5 ALIGN=MIDDLE  ALT=\"64=%283%2F5%29%28x%29-5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2F5%29x=69 ALIGN=MIDDLE  ALT=\"%283%2F5%29x=69\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=69%285%2F3%29=115 ALIGN=MIDDLE  ALT=\"x=69%285%2F3%29=115\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The amount he started with was $115.<br><BR>\n" );
document.write( "The amount he gave to Bob was <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F5%29x%2B5=46%2B5=51 ALIGN=MIDDLE  ALT=\"2%2F5%29x%2B5=46%2B5=51\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "ANSWER: $51<br><BR>\n" );
document.write( "CHECK:<BR>\n" );
document.write( "start: $115<BR>\n" );
document.write( "give to Bob: (2/5)$115+5 = $51<BR>\n" );
document.write( "left: $115-$51 = $64<BR>\n" );
document.write( "give to Karen: (3/4)$64+$6 = $48+$6 = $54<BR>\n" );
document.write( "left: $64-$54 = $10<br><BR>\n" );
document.write( "The amount he had left is $44 less than what he gave to Karen -- correct<br><BR>\n" );
document.write( "It seems the algebra gets complicated enough that in this problem using a single variable is not an easier way to go.<br><BR>\n" );
document.write( "When solving similar problems, try solving using a single variable and using three variables, and find what method works best FOR YOU.<br><BR>\n" );
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