document.write( "Question 741713: if you have a 93 sweets then how would you divide them equally into your bags. each bag contain equal number of sweets ?
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Algebra.Com's Answer #852625 by ikleyn(53354) You can put this solution on YOUR website! . \n" ); document.write( "if you have 93 sweets then how would you divide them equally into your bags. \n" ); document.write( "each bag contain equal number of sweets ? \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "This problem is very special. It says \"distribute sweets equally into your bags\", but does not specify\r\n" ); document.write( "how many bags are there.\r\n" ); document.write( "\r\n" ); document.write( "So, we should analyze/represent all possible cases.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The number 93 is a composite number. It has several decompositions into the products of prime numbers\r\n" ); document.write( "\r\n" ); document.write( " 93 = 1*93 = 3*31 = 31*3 = 93*1.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "According to these multiple decompositions, there are several cases.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "(1) If there is one bag, you place there all 93 sweets into this bag..\r\n" ); document.write( "\r\n" ); document.write( "(2) If there are 3 bags, you place 31 sweets into each bag.\r\n" ); document.write( "\r\n" ); document.write( "(3) If there are 31 bags, you place 3 sweets into each bag.\r\n" ); document.write( "\r\n" ); document.write( "(4) If there are 93 bags, you place 1 sweet into each bag.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Thus all possible cases are covered.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "This problem is to connect the conception of prime decomposition with other \n" ); document.write( "interesting ideas in your young mind - for better understanding.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |