SOLUTION: Mrs. Ballo's second grade class of 30 conducted a survey of pet ownership and found: 8 students owned a cat, 15 owned a dog and 5 owned both. How many of the students owned no dogs
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Question 380289: Mrs. Ballo's second grade class of 30 conducted a survey of pet ownership and found: 8 students owned a cat, 15 owned a dog and 5 owned both. How many of the students owned no dogs?
The answer I found of 8 was incorrect and not sure how to go about this. Found 2 solutions by kingme18, richard1234:Answer by kingme18(98) (Show Source):
You can put this solution on YOUR website! Your answer is the number of students who owned cats. You forgot about the students who don't own any pets. There are 8 + 15 + 5 = 28 students with pets, so there are 30 - 28 = 2 without pets. Thus, the number without dogs is 8 + 2 = 10.
You can put this solution on YOUR website! There are 15 who own dogs, so 30-15 or 15 do not own a dog.
Or, since there are 5 that own both, then 3 students own a cat (only), 10 own a dog (only) and 5 own both. It follows that 12 students have no pets (or own pets other than cats or dogs). Thus the number of people who don't have a dog is 3+12=15.