document.write( "Question 353273: A survey of 51 pet owners revealed that 32 owned dogs, 38 owned cats, and 3 owned neither cats nor dogs. How many owned cats and dogs? \n" ); document.write( "
Algebra.Com's Answer #252443 by sudhanshu_kmr(1152)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "No. of owners having any one of these pet = 51 - 3 = 48\r \n" ); document.write( "\n" ); document.write( "thus n(A U B) = 48 , no. of owners having any pet \n" ); document.write( " \n" ); document.write( " n(A) = 32 , no. of owner having dogs\r \n" ); document.write( "\n" ); document.write( " n(B) = 38 , no. of owner having cats\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "now we have to find no. of owners having cats and dogs n (A∩B)\r \n" ); document.write( "\n" ); document.write( "as we know n (A∩B) = n(A ) + n (B) - n(A U B)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " = n(A ) + n (B) - n(A U B)\r \n" ); document.write( "\n" ); document.write( " = 32 + 38 - 48 \r \n" ); document.write( "\n" ); document.write( " = 22\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |