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
Of the 80 house in a development, 50 have a two-car garage,
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- Jay@ManhattanReview
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Number of houses with a two-car garage = 50;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 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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- Scott@TargetTestPrep
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We can create the equation: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
Total = Garage + Pool - Both + Neither
80 = 50 + 40 - 35 + n
80 = 55 + n
25 = n
Answer: D
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