Percent And Interest Problems

[swerve]

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

[Scott@TargetTestPrep]

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