document.write( "Question 1147242:  A poll of 500 people determines that 382 like ice cream and 362 like cake. How many 
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document.write( "people like both if each of them likes at least one of the two? \n" );
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| Algebra.Com's Answer #768553 by ikleyn(52879)     You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "As the first approximation, add the two numbers 382 and 362:\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " 382 + 362 = 744. (1)\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "But doing so, you count twice those people of 500, who like both products.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Therefore, your sum exceeds 500, although it should be equal 500, in reality.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "This exceeding amount over 500 is exactly the number of those who like both products\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " 382 + 362 - 500 = 244.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "It is your answer: 244 people like both products.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "-----------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "To see many other similar solved problems, look into the lesson\r \n" ); document.write( "\n" ); document.write( " - Counting elements in sub-sets of a given finite set\r \n" ); document.write( "\n" ); document.write( "in this site.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |