document.write( "Question 276981: A survey of 51 pet owners revealed that 32 owned dogs, 38 owned cats, and 3 owned neither dogs nor cats. How many owned both dogs and cats? \n" ); document.write( "
Algebra.Com's Answer #201744 by edjones(8007)![]() ![]() You can put this solution on YOUR website! 51-3=48 own cars or dogs or both. Make a Venn diagram and put 3 in the rectangle but out side the circles. \n" ); document.write( "Let x= owned both dogs and cats. That is the intersection of the 2 circles. \n" ); document.write( "32-x+38-x+x=48 the union of the 2 circles IE everything in the circles. \n" ); document.write( "32-x+38-x+x=48 \n" ); document.write( "70-x=48 \n" ); document.write( "-x=-22 \n" ); document.write( "x=22 owned both dogs and cats. \n" ); document.write( "FYI: 10 goes to the left of the intersection and 16 to the right. \n" ); document.write( ". \n" ); document.write( "Ed \n" ); document.write( " |