A recycling facility is staffed by eight floor workers and one manager. All of the floor workers are paid equal wages,

[BTGmoderatorDC]

A recycling facility is staffed by eight floor workers and one manager. All of the floor workers are paid equal wages, but the manager is paid q times as much as a floor worker. If the manager’s wages account for 1/7 of all wages paid at the facility, what is the value of q?

A 4/3
B 9/7
C 5/4
D 11/9
E 8/7



OA A

Source: Manhattan Prep

[Scott@TargetTestPrep]

A recycling facility is staffed by eight floor workers and one manager. All of the floor workers are paid equal wages, but the manager is paid q times as much as a floor worker. If the manager’s wages account for 1/7 of all wages paid at the facility, what is the value of q?

A 4/3
B 9/7
C 5/4
D 11/9
E 8/7



OA A

Solution:

We can let each floor worker’s wage be $60 and the manager’s wage be x dollars. We can create the equation:

x = 1/7 * (60 * 8 + x)

7x = 480 + x

6x = 480

x = 80

Therefore, the manager’s wage is 80/60 = 4/3 times as much as a floor worker’s wage.

Answer: A