document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=832295>Question 832295</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A sum of money is shared between Jasmine and Luisa in the ratio of 4:5.  If Luisa were to give $9 to Jasmine, they would have the same amount of money.  How much money does Luisa have?\r<BR>\n" );
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document.write( "I worked the problem in what I think is the correct way, and I got the following:\r<BR>\n" );
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document.write( "Luisa has $36.  If she gave $9 to Jasmine, they would each have $27.  So Jasmine currently has $18.  Together they share $54.\r<BR>\n" );
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document.write( "Here is how I set up the problem:\r<BR>\n" );
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document.write( "X/X+9 = 4/5\r<BR>\n" );
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document.write( "I cross multiplied to get 5x = 4 (x + 9); 5x = 4x + 36; solve for x to get x = 36.\r<BR>\n" );
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document.write( "Please let me know if this is correct.  If it is incorrect, please let me know how I should have done it.<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 #501953 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=501953\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Original sum of money, x for Jasmine and y for Luisa, the sum being <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By ALIGN=MIDDLE  ALT=\"x%2By\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which we do not yet know the values..  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Fy=4%2F5 ALIGN=MIDDLE  ALT=\"x%2Fy=4%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Luisa gives $9 to Jasmine.  Their monies are then x+9 and y-9.  These quantities are then given in the description as EQUAL.  This means <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B9=y-9 ALIGN=MIDDLE  ALT=\"x%2B9=y-9\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "This situation has the symbolic description of :<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Fy=4%2F5 ALIGN=MIDDLE  ALT=\"x%2Fy=4%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B9=y-9 ALIGN=MIDDLE  ALT=\"x%2B9=y-9\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "We may use the nine-dollar shift equation to solve for y, and substitute into the ratio equation, as you seem to have done.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x%2B9%2B9 ALIGN=MIDDLE  ALT=\"y=x%2B9%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x%2B18 ALIGN=MIDDLE  ALT=\"y=x%2B18\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Ratio <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Fy=4%2F5 ALIGN=MIDDLE  ALT=\"x%2Fy=4%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x%2F%28x%2B18%29=4%2F5%29 ALIGN=MIDDLE  ALT=\"highlight%28x%2F%28x%2B18%29=4%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, somewhat different from what you obtained.\r<BR>\n" );
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document.write( "Solve that one, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x%2F%28x%2B18%29=4%2F5%29 ALIGN=MIDDLE  ALT=\"highlight%28x%2F%28x%2B18%29=4%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and you should find the correct values for x and y.   The original amounts for the parts of the sum of money which Jasmine and Luisa had. </SPAN>\n" );
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