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350 students were asked if they liked soccer or football. 200 said they liked soccer, and 180 said they liked football. How many students liked both soccer and football?

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Respuesta :

aldb1182
it is going going to be 30 because 200+180 adds up to 380 and then 380-350 is 30

Answer:

Number of students liked both soccer and football is 30.

Step-by-step explanation:

Let student likes soccer represent by A and student likes football represent by b.

Total student = A ∪ B

Student liking both sports = A ∩ B

Given:

Total number of students, n( A ∪ B ) = 350.

Number of student likes soccer,  n ( A )= 200

Number of student likes football,  n ( B ) = 180

To find Number of student likes both soccer and football, n( A ∩ B )

We use the following relation,

n ( A ∪ B ) = n ( A ) + n ( B ) - n ( A ∩ B )

350 = 200 + 180 - n ( A ∩ B )

n ( A ∩ B ) = 380 - 350

n ( A ∩ B ) = 30

Therefore, Number of students liked both soccer and football is 30.

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