Question

out of 50families in a certain town 29 own a coupe and 24 own a van. If 2families don't own either of them. what fraction of the families own both a coupe and a van?​

Answer 1

Answer:

GIVEN :

families don't own either of them = 2

total families = 50

total families who won prises = n(A ∪ B)

= 50 - 2

= 48

families own a coupe = n(A)

= 29

families own a van = n(B)

= 24

families own both a coupe and a van

= n(A ∩ B )

n(A ∪ B) = n(A) + n(B) - n(A ∩ B )

48 = 29 + 24 - n(A ∩ B )

n(A ∩ B ) = 29 +24 - 48

n(A ∩ B ) = 53 - 48

n(A ∩ B ) = 5

.: fraction of the families own both a coupe and a van is 5 families