Of the 80 houses in a development, 50 have a two-car garage, 40 have an in-the-ground swimming pool, and 35 have both a two-car garage and an in-the-ground swimming pool. How many houses in the development have neither a two-car garage nor an in-the-ground swimming pool?

Question

Mathematics

Hezekiah

4 January, 14:09

Of the 80 houses in a development, 50 have a two-car garage, 40 have an in-the-ground swimming pool, and 35 have both a two-car garage and an in-the-ground swimming pool. How many houses in the development have neither a two-car garage nor an in-the-ground swimming pool?

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Answers (1)

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Theodore · Answer 1

Total number of houses = 80

number of houses with two garage=50

number of houses with in-ground swimming pool=40

number of house with garage and swimming pool=35

thus number of houses with garage alone=50-35=15

Number of houses with in-ground swimming pool alone=40-35=5

Total number of house with atleast a garage of a swimming pool will be:

(35+15+5) = 55

Number of house that have neither swimming pool nor garage:

80-55=25 houses