Percent And Interest Problems

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swerve: Legendary Member; Posts: 2604; Joined: Sun Oct 29, 2017 2:04 pmFollowed by: 6 members

by swerve » Fri Jan 08, 2021 10:06 am

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The seating on an airplane is divided into two sections: coach, which contains 150 seats, and business class, which contains 50 seats. If 30 percent of the coach seats and 20 percent of the business class seats are empty, what percent of the total number of seats on the plane are empty?

A. 20.5%
B. 25.5%
C. 27.5%
D. 40.5%
E. 50.5%

The OA is C

Source: Princeton Review

Source: Beat The GMAT — Problem Solving | Fri Jan 08, 2021 10:06 am

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8246; Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members; Location: Los Angeles, CA; Thanked: 43 times

Re: Percent And Interest Problems

by Scott@TargetTestPrep » Tue Jan 19, 2021 8:13 am

swerve wrote: ↑
Fri Jan 08, 2021 10:06 am
The seating on an airplane is divided into two sections: coach, which contains 150 seats, and business class, which contains 50 seats. If 30 percent of the coach seats and 20 percent of the business class seats are empty, what percent of the total number of seats on the plane are empty?

A. 20.5%
B. 25.5%
C. 27.5%
D. 40.5%
E. 50.5%

The OA is C

Solution:

We see that there are 150 x 0.3 = 45 empty coach seats and 50 x 0.2 = 10 empty business class seats. Therefore, the number of empty seats is (45 + 10) / (150 + 50) = 55/200 = 27.5% of the total number of seats on the plane.

Answer: C

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