If 75 percent of all Americans own an automobile, 15 percent

swerve wrote:If 75 percent of all Americans own an automobile, 15 percent of all Americans own a bicycle, and 20 percent of all Americans own neither an automobile nor a bicycle, what percent of Americans own both an automobile and a bicycle?

A. 0%
B. 1.33%
C. 3.75%
D. 5%
E. 10%

The OA is E.

Source: Princeton Review

Given that 20 percent of all Americans own neither an automobile nor a bicycle, we have 100 – 20 = 80% of all Americans who own an automobile or bicycle or both.

=> Automobile owner + Bicycle owner – Owners of both = 80

=> 75 + 15 – Owners of both = 80

Owners of both = 10%.

The correct answer: E

Hope this helps!

-Jay
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swerve wrote:If 75 percent of all Americans own an automobile, 15 percent of all Americans own a bicycle, and 20 percent of all Americans own neither an automobile nor a bicycle, what percent of Americans own both an automobile and a bicycle?

A. 0%
B. 1.33%
C. 3.75%
D. 5%
E. 10%

The OA is E.

Source: Princeton Review

We can let the total number of Americans = 100 and create the following equation:

100 = number who own an automobile + number who own a bike - number who own both + number who own neither

100 = 75 + 15 - b + 20

100 = 110 - b

b = 10

Answer: E