document.write( "Question 1205923: Hi
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document.write( "Jack has some magnets. He gives Kevin half his magnets plus 1 magnet and gives bob half of his remaining magnets plus 2 magnets. If Jack has 6 magnets left how many did he have at first \n" );
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Algebra.Com's Answer #843023 by ikleyn(52781)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "Jack has some magnets. He gives Kevin half his magnets plus 1 magnet \n" ); document.write( "and gives bob half of his remaining magnets plus 2 magnets. \n" ); document.write( "If Jack has 6 magnets left how many did he have at first. \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "I will write a table showing each Jack's step separately.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " 1) Jack gives Kevin half his magnets.\r\n" ); document.write( "\r\n" ); document.write( " 2) Jack gives Kevin 1 additional magnet.\r\n" ); document.write( "\r\n" ); document.write( " 3) Jack gives Bob half remaining magnets.\r\n" ); document.write( "\r\n" ); document.write( " 4) Jack gives Bob 2 additional magnet.\r\n" ); document.write( "\r\n" ); document.write( " 5) At the end Jack has 6 magnets left.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Now move backward, from the end to the beginning.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "From the table, you conclude that immediately before step 4 Jack had 6+2 = 8 magnets.\r\n" ); document.write( "\r\n" ); document.write( "Hence, immediately before step 3) Jack had 8*2 = 16 magnets.\r\n" ); document.write( "\r\n" ); document.write( "Hence, immediately before step 2) Jack had 16+1 = 17 magnets.\r\n" ); document.write( "\r\n" ); document.write( "Hence, before step 1) Jack had 2*17 = 34 magnets.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Thus the problem is just solved, and the answer is\r\n" ); document.write( "\r\n" ); document.write( " +------------------------------------+\r\n" ); document.write( " | At first, Jack had 34 magnets. |\r\n" ); document.write( " +------------------------------------+\r\n" ); document.write( "\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "--------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Thus, I solved the problem MENTALLY.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The method, which I used, is called the BACKWARD METHOD.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Good for young student to wake up their minds and make them smile.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Also good for all other ages readers - for the same purpose.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |