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
If 75 percent of all Americans own an automobile, 15 percent of all Americans own a bicycle, and 20 percent of all
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BTGmoderatorDC wrote: ↑Sun Jan 08, 2023 10:27 pmIf 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
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