A veterinarian surveys 26 of his patrons. He discovers that 14 have dogs, 10 have cats, and 5 have fish. Four have dogs and cats, 3 have dogs and fish, and one has a cat and fish. If no one has all three kinds of pets, how many patrons have none of these pets?
Answers
Answer:
5 of them do not have any pets
Step-by-step explanation:
Total number of patrons = 26
Total number of patrons that have dogs = 14
Total number of patrons that have cats = 10
Total number of patrons that have fish = 5
Total number of patrons that have dogs and cats = 4
Total number of patrons that have dogs and fish = 3
Total number of patrons that have cats and fish = 1
Total number of patrons that have all three pets = 0
Total number of patrons that have only dogs = 14 - 4 - 3 = 7
Total number of patrons that have only cats = 10 - 4 - 1 = 5
Total number of patrons that have only fish = 5 - 3 - 1 = 1
Total number of patrons that have none = 26 - 7 - 5 - 1 - 4 - 3- 1 = 5
Answer: There are 5 that have none have pets.
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