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IV. Solve the following using Venn diagrams:
1. A group of 120 pet lovers was asked about the pets they have. It was revealed that 62
have a dog, 50 have a cat, and 40 haye a bird as pets. Also, 20 have a dog and a cat,
13 have a cat and a bird, 12 have a dog and a bird, and 5 have all three as pets. Find the
number of pet lovers who have
a.
a dog only
b. a bird only
c. both a dog and a cat but no bird
d. none of the pets

Respuesta :

The number of pet lovers are 8.

How to find the number of pet lovers?

given that

group of 120 pet lovers was asked about the pets they have.

It was revealed that 62 have a dog, 50 have a cat, and 40 haye a bird as pets.

Also, 20 have a dog and a cat, 13 have a cat and a bird, 12 have a dog and a bird, and 5 have all three as pets.

by using given information

dog and cat, no birds = 20-5=15

cat and bird, no dogs = 13-5= 8

dog and bird, no cat = 12-5=7

so,

[tex]dogs= 62-15-5-7=35[/tex]

[tex]cats = 50-20-8=22[/tex]

[tex]birds=40-8-8-5=20[/tex]

the number of pet lovers

[tex]pet \: lovers= 120-62-22-8-20=8[/tex]

Therefore,

The number of pet lovers are 8.

Learn more about Venn diagrams,refer:

https://brainly.com/question/24581814

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