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

This topic has expert replies
Moderator
Posts: 2599
Joined: Sun Oct 29, 2017 2:08 pm
Followed by:2 members

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

Princeton Review

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: — Problem Solving |

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 8086
Joined: Sat Apr 25, 2015 10:56 am
Location: Los Angeles, CA
Thanked: 43 times
Followed by:29 members
AAPL wrote:
Thu Oct 15, 2020 5:42 pm
Princeton Review

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
Solution:

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

Scott Woodbury-Stewart
Founder and CEO
[email protected]

Image

See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews

ImageImage