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The total number of students is 120. Some students who own a cat and some students who own a dog. The students who own a cat is 60 and the students who own a dog is 70. Then, find the number of students who own both a cat and a dog together?

The total number of students is 120. Some students who own a cat and some students who own a dog. The students who own a cat is 60 and the students who own a dog is 70. Then, find the number of students who own both a cat and a dog together? Correct Answer 10

Given:

Total number of students = 120

Students who own a cat = 60

Students who own a dog = 70

Concept:

Number of students who own both a cat and a dog = Total number of students – (Students who own a cat + Students who own a dog)

Calculation:

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Total number of students = 120

Students who own a cat = 60

Students who own a dog = 70

Suppose, the students who own both a cat and a dog is x.

Students who own only a cat = (60 – x)

Students who own only a dog = (70 – x)

According to question –

Total number of students = 120

⇒ 60 – x + 70 – x + x = 120

⇒ 130 – x = 120

⇒ x = 130 – 120

⇒ x = 10

∴ There are 10 students who own a cat and a dog together.

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