document.write( "Question 1143506: In a survey concerning the smoking habits of consumer it was found that 55% smoke cigarette A, 50% smoke cigarette B,40% smoke cigarette C, 30% smoke cigarettes A and B, 20% smoke cigarettes A and C, 12% smoke cigarettes B and
\n" );
document.write( "C only 10% all three cigarettes. What percentage of the population did not smoke? \n" );
document.write( "
Algebra.Com's Answer #764344 by ikleyn(52802)![]() ![]() You can put this solution on YOUR website! .\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " Your formulation is not accurate.\r \n" ); document.write( "\n" ); document.write( " To be accurate (and to become a true Math problem), it has to be re-written and re-edited.\r \n" ); document.write( "\n" ); document.write( " My editing is this:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( " In a survey concerning the smoking habits of consumer it was found that \r\n" ); document.write( " 55% smoke cigarette A, 50% smoke cigarette B,40% smoke cigarette C, \r\n" ); document.write( " 30% smoke cigarettes A and B, 20% smoke cigarettes A and C, 12% smoke cigarettes B and C,\r\n" ); document.write( " while only 10% smoke all three types of cigarettes. What percentage of the population did not smoke? \r\n" ); document.write( "\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " The solution is below.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "The percentage of those who smoke at least one of the three types of cigarettes is\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " 55 + 50 + 40 - 30 - 20 - 12 + 10 = 93 percents. (*)\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Therefore, 7% of the population do not smoke. ANSWER\r\n" ); document.write( "\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The key to the solution is this alternate sum in the left side of (*).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "For this formula, see the lessons\r \n" ); document.write( "\n" ); document.write( " - Advanced problems on counting elements in sub-sets of a given finite set\r \n" ); document.write( "\n" ); document.write( " - Challenging problems on counting elements in subsets 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( " |