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
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A recycling facility is staffed by eight floor workers and one manager. All of the floor workers are paid equal wages,
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BTGmoderatorDC
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Solution:BTGmoderatorDC wrote: ↑Thu Aug 06, 2020 5:10 pmA 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
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
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