SOLUTION: in a community of 416 people, each person owns a dog or a cat or both. if there are 316 dog owners and 280 cat owners, how many of the dog owners own no cat?

Question 108461: in a community of 416 people, each person owns a dog or a cat or both. if there are 316 dog owners and 280 cat owners, how many of the dog owners own no cat?
Found 2 solutions by checkley71, stanbon:
Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website!
316+280=596 PETS
596-416=180 PEOPLE MUST HAVE A BOTH DOG & A CAT.
316-180=136 DOG OWNERS DO NOT OWN A CAT.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
in a community of 416 people, each person owns a dog or a cat or both. if there are 316 dog owners and 280 cat owners, how many of the dog owners own no cat?
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Draw a Venn diagram of two intersecting circles. Label it properly and find
that the intersection contains 180 people that have a dog and a cat.
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Formula:
dog owners + cat owners = 596
596 - 416 = 180 is the number with both a dog and a cat
180 of the dog owners also have a cat.
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Cheers,
Stan H.
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