Question

reset answer
9 In a group of 80 people, 42 people go to gym and 35 go to park, while 8 people just relax in the morning. What is number of people in the society who go to
both gym and park?​

Answer 1

Answer:

total people are 77 right?

Answer 2

Answer:

The number of people who go to both the gym and park is 5

Step-by-step explanation:

The total number of people U = 80

Let the number of people who go to the gym be n(g) = 42

Let the number of people who to park be n(p) = 35

Let the number of people who just relax be n(g∪p)' = 8

Let the number of people who will go to either gym or park be n(g∪p)

n(g∪p) = U - n(g∪p)'

            = 80 - 8

n(g∪p) = 72

Let the number of people who go to both gym and park be n(g∩p)

n(g∩p) =  n(g) +  n(p) - n(g∪p)

              = 42 + 35 - 72

 n(g∩p)  = 5

Therefore the number of people who go to both gym and park is 5