Out of a group of 100 people surveyed,

63 have a car,
27 have a bike,
12 have a skateboard,
20 have a car and a bike,
8 have a car and a skateboard,
9 have a bike and a skateboard, and
5 have a car, a bike, and a skateboard.
How many people in the survey do not own a car, a bike, or a skateboard?
A. 27
B. 28
C. 29
D. 30
E. 32

Respuesta :

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Answer: D. 30

Step-by-step explanation:

Given that:

63 have a car,

27 have a bike,

12 have a skateboard,

20 have a car and a bike,

8 have a car and a skateboard,

9 have a bike and a skateboard, and

5 have a car, a bike, and a skateboard.

Car and bike only :(20 - 5) = 15

Car and skateboard only = (8 - 5) = 3

Car only = 63 - (15 + 3 + 5) = 40

Bike and skateboard only = (9 - 5) = 4

Bike only = 27 - (15 + 5 + 4) = 3

Skateboard only = 12 - (3 + 5 + 4) = 0

Number of people in the survey do not own a car, a bike, or a skateboard: = x

(40+0+3+15+3+5+4+x) = 100

70 + x = 100

x = 100 - 70

x = 30

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