document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1105659>Question 1105659</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi<BR>\n" );
document.write( "bob 3/7 of his money.john spent 1/5 of his and alan spent 1/3 of his.all of them had the same amount of money left. If the 3 of them had spent $144 , how much did each have at first.\r<BR>\n" );
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document.write( "thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #720522 by </B><A HREF=/tutors/aboutme.mpl?userid=math_helper><B>math_helper(2461)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_helper><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=math_helper><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=720522\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Bob starts with B dollars:  (4/7)B = k    (1)    (Bob spent 3/7 so he has 4/7 left…)<BR>\n" );
document.write( "John starts with J dollars:   (4/5)J = k   (2)<BR>\n" );
document.write( "Alan starts with A dollars:   (2/3)A = k   (3)\r<BR>\n" );
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document.write( "(3/7)B + (1/5)J + (1/3)A = 144   (4)\r<BR>\n" );
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document.write( "From (1) and (2):  (4/7)B = k = (4/5)J —>   J = (5/7)B<BR>\n" );
document.write( "From (1) and (3): (4/7)B = k = (2/3)A —>   A = (6/7)B\r<BR>\n" );
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document.write( "Now substitute these last two equations for J and A in (4) to get one equation in one unknown:\r<BR>\n" );
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document.write( "        (3/7)B + (1/5)(5/7)B + (1/3)(6/7)B = 144<BR>\n" );
document.write( "        (3/7)B + (1/7)B + (2/7)B = 144<BR>\n" );
document.write( "           (6/7)B = 144<BR>\n" );
document.write( "                   B = 144*7 / 6 = 168  —> A = 144,  J = 120\r<BR>\n" );
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document.write( "—<BR>\n" );
document.write( " Ans:  Bob started with  $168,  Alan with $144, and John with $120<BR>\n" );
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document.write( "Check:   <BR>\n" );
document.write( "                  (3/7)(168) + (1/5)(120) + (1/3)(144)<BR>\n" );
document.write( "             =   72  + 24 + 48<BR>\n" );
document.write( "             =   144  (ok)\r<BR>\n" );
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document.write( " </SPAN>\n" );
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