In a neighborhood having 90 households, 11 did not have

BTGmoderatorLU wrote:In a neighborhood having 90 households, 11 did not have either a car or a bike. If 12 households had a both, a car and a bike and 44 had a car, how many had bike only?

A. 30
B. 35
C. 20
D. 18
E. 10

The OA is B.

Can anyone give me a suggestion about how can I solve this PS question? Thanks in advance.

The number of households that have either a car, a bike or both = 90 – 11 = 79
The number of households that have a car = 44 (this includes those who have both a car and a bike)

The number of households that have ONLY bike = 79 – 44 = 35.

The data '12 households had a both, a car and a bike' is redundant.

The correct answer: B

Hope this helps!

-Jay
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BTGmoderatorLU wrote:In a neighborhood having 90 households, 11 did not have either a car or a bike. If 12 households had a both, a car and a bike and 44 had a car, how many had bike only?

A. 30
B. 35
C. 20
D. 18
E. 10

The OA is B.

We can use the following formula:

# of households = # with a car + # with a bike - # with both + # with neither

90 = 44 + b - 12 + 11

90 = 43 + b

47 = b

We see that 47 households had a bike and 12 of them also had a car; thus, 47 - 12 = 35 households had a bike only.

Answer: B