# Of the 80 house in a development, 50 have a two-car garage, 40 have an in-the-ground swimming pool,

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. 10b. 15c. 20d. 25e. 30

## This Post Has 4 Comments

1. jayjat97 says:

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

2. NatsuDDW says:

D. 25

Step-by-step explanation:

See the file attached.

3. averystricker7837 says:

D. 25

Step-by-step explanation:

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.

$Of the 80 house in a development, 50 have a two-car garage, 40 have an in-the-ground swimming pool,$

4. lacybyrd says:

Total houses = 80
House that have 2 car garage = 50
House that an in-the-ground swimming pool = 40
House that have both 2 car garage and an in-the-ground swimming pool = 35
To find: Houses that have neither 2 car garage nor in-the-ground swimming pool.
Solution:
As total houses = 80, therefore total of all types of houses should be 80.
Let,
P = House that have 2 car garage = 50
Q = House that an in-the-ground swimming pool = 40
R = House that have both 2 car garage and an in-the-ground swimming pool= 35
S = Houses that have neither 2 car garage nor in-the-ground swimming pool
= ?
So, P+Q+R+S = 80
P+R=50
Q+R=40
R = 35 = house having both 2 car garage and an in-the-ground swimming pool
putting value of R in above equations, we get
P = 15 and Q = 5
P+Q+R+S = 80
15+5+35+S = 80
S = 25
Number of houses that have neither 2 car garage nor in-the-ground swimming pool are 25.