SOLUTION: 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?

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?
Answer by edjones(8007) (Show Source): 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.
Let x= owned both dogs and cats. That is the intersection of the 2 circles.
32-x+38-x+x=48 the union of the 2 circles IE everything in the circles.
32-x+38-x+x=48
70-x=48
-x=-22
x=22 owned both dogs and cats.
FYI: 10 goes to the left of the intersection and 16 to the right.
.
Ed
RELATED QUESTIONS
A survey of 51 pet owners revealed that 32 owned dogs, 38 owned cats, and 3 owned neither (answered by sudhanshu_kmr)

A survey of 51 pet owners revealed that 32 owned dogs, 38 owned cats, and 3 owned neither (answered by sudhanshu_kmr)

A survey of 51 pet owners revealed that 24 owned dogs, 28 owned cats, 11 owned turtles,... (answered by rfer)

Assist me with this difficult homework problem: 1. A survey of 51 pet owners revealed... (answered by sudhanshu_kmr,josmiceli,richard1234,ewatrrr)

I asked for assistance on these problems and got incorrect answers. Please help me find... (answered by scott8148)

A survey of 53 pet owners revealed that 25 own chickens, 21 owned pigs, 23 owned goats,... (answered by stanbon)

Mrs. Ballo's second grade class of 30 conducted a survey of pet ownership and found: 8... (answered by kingme18,richard1234)

Electronic Devices In a survey of college students, it was found that�.. 356 owned an... (answered by Edwin McCravy)

A survey of 830 workers in a plant indicated that 520 owned houses, 560 owned cars, 275... (answered by ikleyn)