Answer:
D. 25
Step-by-step 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 [tex]50-35=15[/tex].
The people, who have only in-the-ground swimming pool would be [tex]40-35=5[/tex].
The number of people, who have two car garage and in-the-ground swimming pool only and have both would be [tex]15+5+35=55[/tex].
[tex]\text{Houses having neither a two-car garage nor an in-the-ground swimming pool}=80-55[/tex]
[tex]\text{Houses having neither a two-car garage nor an in-the-ground swimming pool}=25[/tex]
Therefore, 25 houses in the development have neither a two-car garage nor an in-the-ground swimming pool.
