Question

Of the 80 house 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?

A. 10
B. 15
C. 20
D. 25
E. 30

Answer 1

D. 25

Explanation:

Please find the attachment.

We have been given that of the 80 house 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.

Since 35 have both a two-car garage and an in-the-ground swimming pool, so people, who have only two-car garage would be
`50-35=15`.

The people, who have only in-the-ground swimming pool would be
`40-35=5`.

The number of people, who have two car garage and in-the-ground swimming pool only and have both would be
`15+5+35=55`.

`\text{Houses having neither a two-car garage nor an in-the-ground swimming pool}=80-55`

`\text{Houses having neither a two-car garage nor an in-the-ground swimming pool}=25`

Therefore, 25 houses in the development have neither a two-car garage nor an in-the-ground swimming pool.