If 75 percent of all Americans own an automobile, 15 percent of all Americans own a bicycle, and 20 percent of all

[BTGmoderatorDC]

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%


OA E

Source: Princeton Review

[Scott@TargetTestPrep]

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%


OA 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