These 150 houses in a locality, out of which 60 percent have a fridge, 50 percent have a TV, and 30 percent have a swimming pool
If five of the houses have all three of these amenities and five have none, how many houses have exactly two of these amenities?
Answers
Given : These 150 houses in a locality, out of which 60 percent have a fridge, 50 percent have a TV, and 30 percent have a swimming pool
five of the houses have all three of these amenities and five have none
To Find : how many houses have exactly two of these amenities
Solution:
Fridge F = (60/100)150 = 90
TV T = (50/100)150 = 75
Swimming Pool S = (30/100)150 = 45
All three F ∩ T ∩ S = 5
None = 5
Total = F + T + S - F ∩ T - F ∩ S - T ∩ S + F ∩ T ∩ S + None
=> 150 = 90 + 75 + 45 - ( F ∩ T + F ∩ S + T ∩ S) + 5 + 5
=> 70 = F ∩ T + F ∩ S + T ∩ S
exactly two of these amenities = F ∩ T + F ∩ S + T ∩ S - 3 F ∩ T ∩ S
= 70 - 5* 3
= 55
55 houses have exactly two of these amenities
Learn More:
Venn diagram Which of the option(s) is (are) correct?
brainly.in/question/21812746
Venn diagram Which of the option(s) is (are) correct?
brainly.in/question/22299846
Venn diagram Which of the option(s) is (are) correct?
brainly.in/question/22172776