Of the 150 houses in a certain development, 60 percent have air-conditioning, 50 percent have a sunporch, and 30 percent have a swimming pool. if 5 of the houses have all three of these amenities and 5 have none of them, how many of the houses have exactly two of these amenities?

There are 70 houses that have exactly two of these amenities.

Step-by-step explanation:

Number of house in a certain development = 150

Number of houses have air conditioning n(A)=

Number of houses have sunporch n(B) =

Number of houses have swimming pool n(C) =

Number of houses have all three amenities = 5

Number of houses have none of them = 5

So, remaining houses = 150-5=145

As we know the rule of sets:

Hence, there are 70 houses that have exactly two of these amenities.