Of the 80 house in a development, 50 have a two-car garage,

BTGmoderatorDC wrote: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

OA D

Source: Magoosh

Number of houses with a two-car garage = 50;
Number of houses with in-the-ground swimming pool = 40;
Number of houses with both a two-car garage and in-the-ground swimming pool = 35;

Thus, the number of houses with a two-car garage or in-the-ground swimming pool = 50 + 40 – 35 = 55

Thus, the number of houses that have neither a two-car garage nor an in-the-ground swimming pool = 80 – 55 = 25

The correct answer: D

Hope this helps!

-Jay
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BTGmoderatorDC wrote: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

OA D

Source: Magoosh

We can create the equation:

Total = Garage + Pool - Both + Neither

80 = 50 + 40 - 35 + n

80 = 55 + n

25 = n

Answer: D