document.write( "Question 1168371: If mark gives john 6 apples, mark will have 2/3 of the apples that john will have.
\n" ); document.write( "Now if jaime gives 9 apples to mark then john will have 2/3 of the apples
\n" ); document.write( "that mark will help. How many apples eache have? \n" ); document.write( "

Algebra.Com's Answer #802236 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "If Mark gives John 6 apples, Mark will have 2/3 of the apples that John will have.
\n" ); document.write( "Now if $\"highlight%28cross%28Jaime%29%29\"$ JOHN gives 9 apples to Mark then John will have 2/3 of the apples
\n" ); document.write( "that Mark will $\"highlight%28cross%28help%29%29\"$ HAVE. How many apples each $\"highlight%28cross%28have%29%29\"$ HAS ?
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\n" ); document.write( "\n" ); document.write( "These \"virtual exchange\" problems all have a standard setup.\r
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document.write( "    M - 6 =     (1)    (If mark gives john 6 apples, mark will have 2/3 of the apples that john will have)\r\n" );
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document.write( "     = J - 9.   (2)    (if John gives 9 apples to Mark then John will have 2/3 of the apples that Mark will have)\r\n" );
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document.write( "Simplify these equations\r\n" );
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document.write( "    3M - 18   = 2*(J+6)            (1')\r\n" );
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document.write( "    2*(M + 9) = 3*(J-9)            (2')\r\n" );
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document.write( "Simplify more\r\n" );
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document.write( "    3M - 2J =  30                  (1'')\r\n" );
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document.write( "    2M - 3J = -45                  (2'')\r\n" );
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document.write( "Prepare for elimination\r\n" );
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document.write( "    6M - 4J =  60                  (1''')\r\n" );
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document.write( "    6M - 9J = -135                 (2''')\r\n" );
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document.write( "Subtract (2''') from (1''')\r\n" );
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document.write( "         5J = 60 - (-135) = 195\r\n" );
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document.write( "          J               = 195/5 = 39.\r\n" );
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document.write( "Finally, from (1'')  find  M = 36.\r\n" );
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document.write( "ANSWER.  M = 36;  J = 39.\r\n" );
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\n" ); document.write( "\n" ); document.write( "On \"virtual exchange\" problems, see the lesson\r
\n" ); document.write( "\n" ); document.write( " - Virtual exchange between two persons\r
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\n" ); document.write( "\n" ); document.write( "In parallel with Math, learn English from my post and have doubled benefits (!)\r
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