Question

The 100 residents are asked if they like to watch basketball and or football. The results are that 98 like to watch basketball, 12 like to watch football, and 2 dislike both. How many like to watch football?

Answer 1

Answer:

12 people like to watch football

Step-by-step explanation:

The results are that 98 like to watch basketball, 12 like to watch football, and 2 dislike both.

Total number of residents = 100

Basketball (B) = 98

Football(F) = 12

Number of residents that like basketball and football = ( B ∩ F)

2 dislike both

n ( B ∪ F) - People that dislike it = n(B) + n ( F ) - n ( B ∩ F)

100 - 2 = 98 + 12 - n ( B ∩ F)

98 = 110 - n ( B ∩ F)

n ( B ∩ F) = 110 - 98

= 12

Therefore, 12 people like both Football and Basketball

How many like to watch football?

From the above question, we can see that the total number of people that like to watch football = 12 people