Algebra.Com's Answer #794930 by ikleyn(52781)![\"\"](\"/images/stars/stars-13.gif\")  
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document.write( "Let J be the number of card June had initially\r\n" );
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document.write( " K be the number of card Kevin had initially.\r\n" );
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document.write( "The statement \"If june gives Kevin half her cards Kevin will have 72 more cards than june\" means\r\n" );
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document.write( " J -  = K + - 72. (1)\r\n" );
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document.write( " | It is the LITERAL translation. |\r\n" );
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document.write( "From equation (1), after multiplying both sides by 2\r\n" );
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document.write( " 2J - J = 2K + J - 144\r\n" );
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document.write( " 2J - J - J = 2K - 144\r\n" );
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document.write( " 0 = 2K - 144\r\n" );
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document.write( " 144 = 2K\r\n" );
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document.write( " K = 144/2 = 72.\r\n" );
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document.write( "Half of the problem is just solved.\r\n" );
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document.write( "Now start working on the second part.\r\n" );
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document.write( "The statement \"If June gives Kevin one sixth of her cards Kevin will have 16 less cards than June\" means\r\n" );
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document.write( " J -  = K + + 16. (2)\r\n" );
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document.write( " | It is the LITERAL translation. |\r\n" );
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document.write( "From equation (2), after multiplying both sides by 6\r\n" );
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document.write( " 6J - J = 6K + J + 96\r\n" );
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document.write( " 6J - J - J = 6K + 96\r\n" );
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document.write( " 4J = 6K + 96\r\n" );
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document.write( " 4J = 6*72 + 96\r\n" );
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document.write( " 4J = 528\r\n" );
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document.write( " J = 528/4 = 132.\r\n" );
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document.write( "ANSWER. Initially, June had 132 cards; Kevin had 72 cards.\r\n" );
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document.write( "Solved.\r
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document.write( "Do not accept any other answer.\r
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document.write( "````````````````````\r
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document.write( "To see other similar solved problems, look into the lesson\r
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document.write( " - Virtual exchange between two persons\r
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