document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=84686>Question 84686</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 2 grandchildrenAn estate is to be distributed among a wife, three children, and two grandchildren. The children will recieve three times as much as each grandchild, and the wife will recieve four times as much as each child. If the estate amounted to $115,000, how much will person recieve? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #61010 by </B><A HREF=/tutors/aboutme.mpl?userid=tutor_paul><B>tutor_paul(519)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=tutor_paul><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=tutor_paul><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=61010\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This is a problem of 3 equations and 3 unknowns. Any time you have at least as many equations as you have unknowns, you can solve the problem! The key is to develop the 3 equations.<BR>\n" );
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document.write( "First, define some variables for yourself:<BR>\n" );
document.write( "Let W = Wife<BR>\n" );
document.write( "Let C = Child<BR>\n" );
document.write( "Let G = Grandchild<BR>\n" );
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document.write( "From the given information in the problem, you can write (in terms of money) the following equations for the relationships of who is getting what:<BR>\n" );
document.write( "Each child gets 3 times what each grand child got, so you can write:<BR>\n" );
document.write( "Equation #1: C=3G<BR>\n" );
document.write( "The wife gets 4 times each child, so you can write:<BR>\n" );
document.write( "Equation #2: W=4C<BR>\n" );
document.write( "The total amount of the inheritance is expressed as:<BR>\n" );
document.write( "Equation #3: W+3C+2G=115000<BR>\n" );
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document.write( "So now you have your 3 equations and 3 unknowns. Use substitution to find the unknowns:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4C%2B3C%2B2G=115000 ALIGN=MIDDLE  ALT=\"4C%2B3C%2B2G=115000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4C%2B3C%2B%282C%2F3%29=115000 ALIGN=MIDDLE  ALT=\"4C%2B3C%2B%282C%2F3%29=115000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2821C%29%2F3%2B%282C%2F3%29=115000 ALIGN=MIDDLE  ALT=\"%2821C%29%2F3%2B%282C%2F3%29=115000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C=15000 ALIGN=MIDDLE  ALT=\"C=15000\"   DISABLED_style= \"max-width:90%; height:auto;\" > - Each child gets $15000<BR>\n" );
document.write( "------------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=G=C%2F3 ALIGN=MIDDLE  ALT=\"G=C%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=G=15000%2F3 ALIGN=MIDDLE  ALT=\"G=15000%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=G=5000 ALIGN=MIDDLE  ALT=\"G=5000\"   DISABLED_style= \"max-width:90%; height:auto;\" > - Each grandchild gets $5000<BR>\n" );
document.write( "------------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W=4C ALIGN=MIDDLE  ALT=\"W=4C\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W=4%2A15000 ALIGN=MIDDLE  ALT=\"W=4%2A15000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W=60000 ALIGN=MIDDLE  ALT=\"W=60000\"   DISABLED_style= \"max-width:90%; height:auto;\" > - The wife gets $60000<BR>\n" );
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document.write( "Good Luck,<BR>\n" );
document.write( "tutor_paul@yahoo.com </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );