macjas wrote:

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

wage of floor worker: xwage of manager: qxthe manager's account is 1/7 of all wages: \(\frac{1}{7}.(qx + 8x)\)\(qx = \frac{1}{7}(8x + qx)\)

\(7qx = 8x + qx\)

\(6qx - 8x = 0\)

\((x )(6q - 8) = 0\)

\(6q = 8 --> q = \frac{4}{3}\)

Answer: 4/3

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