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A survey of 260 families show that 99 had dog 76 had cat 34 had dog and cat 98 had neither a cat nor a dog nor a parakeet 8 had a cat a dog and a parakeet

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Matheng

Answer:

Option D. 21

Step-by-step explanation:

The question is as shown in the attached figure 1

The Venn diagram representing the problem is the attached figure 2

D ⇒ Dog , C⇒ Cat  and P ⇒ parakeet

Let the The families had parakeet only = X

A survey of 260 families show that:

99 had dog

76 had cat

34 had dog and cat

98 had neither a cat nor a dog nor a parakeet

8 had a cat a dog and a parakeet

So,

The families had a dog and a cat only = 34 - 8 = 26

The families had a dog only = 99 - (26 + 8 ) = 65

The families had a cat only = 76 - (26 + 8) = 42

∴ X = 260 - ( 98 + 8 + 26 + 65 + 42 ) = 260 - 239 = 21

So, The families had a parakeet only = 21

The answer is option D

Ver imagen Matheng
Ver imagen Matheng

The number of parakeet is 21.

  • The calculation is as follows:

Let us assume the families had parakeet only be X

A survey of 260 families show that:

The families had a dog and a cat only it means

= 34 - 8

= 26

The families had a dog only is

= 99 - (26 + 8 )

= 65

The families had a cat only is

= 76 - (26 + 8)

= 42

So,

X = 260 - ( 98 + 8 + 26 + 65 + 42 )

= 260 - 239

= 21

Therefore, the families had a parakeet only is 21.

Learn more: brainly.com/question/17429689

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