document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=582054>Question 582054</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Batman, Robin, Superman, and the Joker shared $60.  Batman received ½ of the total amount of money Robin, Superman, and the Joker received.  Robin received 2/3 of the total amount of money Superman and the Joker received.  Superman received 3 times as much as the Joker.  A) How much money did Batman receive?  B) How much more money did Robin receive than the Joker? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #371986 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=371986\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write an equation for each statement, and see what we have here:\r<BR>\n" );
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document.write( "Batman, Robin, Superman, and the Joker shared $60.<BR>\n" );
document.write( "b + r + s + j = 60<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Batman received ½ of the total amount of money Robin, Superman, and the Joker received. <BR>\n" );
document.write( "b = .5(r+s+j)<BR>\n" );
document.write( "multiply by 2<BR>\n" );
document.write( "2b = (r+s+j)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Robin received 2/3 of the total amount of money Superman and the Joker received.<BR>\n" );
document.write( "r = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >(s+j)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Superman received 3 times as much as the Joker.<BR>\n" );
document.write( "s = 3j<BR>\n" );
document.write( ":<BR>\n" );
document.write( "A) How much money did Batman receive?<BR>\n" );
document.write( "We can replace r+s+j with 2b in the 1st equation<BR>\n" );
document.write( "b + 2b = 60<BR>\n" );
document.write( "3b = 60<BR>\n" );
document.write( "b = $20 for Batman<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Now we know: r + s + j = 40<BR>\n" );
document.write( "replace s with 3j<BR>\n" );
document.write( "r + 3j + j = 40<BR>\n" );
document.write( "r + 4j = 40<BR>\n" );
document.write( "r = (40-4j)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Take the equation r = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >(s+j)<BR>\n" );
document.write( "replace r with (40-4j), replace s with 3j<BR>\n" );
document.write( "40-4j = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >(3j + j)<BR>\n" );
document.write( "3(40-4j) = 2(4j); multiplied both sides by 3<BR>\n" );
document.write( "120 - 12j = 8j<BR>\n" );
document.write( "120 = 8j + 12j<BR>\n" );
document.write( "120 = 20j<BR>\n" );
document.write( "j = $6 for the poor Joker<BR>\n" );
document.write( ":<BR>\n" );
document.write( "r = 40 - 4(6)<BR>\n" );
document.write( "r = $16 for Robin<BR>\n" );
document.write( ":<BR>\n" );
document.write( "B) How much more money did Robin receive than the Joker?<BR>\n" );
document.write( "$10<BR>\n" );
document.write( ";<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find s so we can check this out<BR>\n" );
document.write( "s = 3(6)<BR>\n" );
document.write( "s = $18 for Superman<BR>\n" );
document.write( ":<BR>\n" );
document.write( "20 + 16 + 18 + 6 = $60 </SPAN>\n" );
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