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A recycling facility is staffed by eight floor workers and o

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A recycling facility is staffed by eight floor workers and o [#permalink] New post 20 Aug 2012, 01:13
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Difficulty:

  25% (medium)

Question Stats:

69% (01:58) correct 31% (01:00) wrong based on 71 sessions
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


Funny, I usually find MGMAT quant very hard but apparently this is a 700 level question according to them.
[Reveal] Spoiler: OA
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Re: A recycling facility is staffed by eight floor workers and o [#permalink] New post 20 Aug 2012, 01:22
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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


Funny, I usually find MGMAT quant very hard but apparently this is a 700 level question according to them.


Say each floor worker is paid $x, then the manager is paid $xp.

Total salary would be 8x+xp and we are told that it equals to 7xp: 8x+xp=7xp --> reduce by x: 8+p=7p --> p=8/6=4/3.

Answer: A.
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Re: A recycling facility is staffed by eight floor workers and o [#permalink] New post 20 Aug 2012, 01:35
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

Assume that floor worker is paid x then the manager gets paid qx.
Total floor workers wages = 8x and manager wages = qx so the combined wages = 8x + qx
It is given qx = 1/7 (8x +qx) => 6 qx = 8 x => q = 8/6 = 4/3 so the answer should be A.
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Re: A recycling facility is staffed by eight floor workers and o [#permalink] New post 22 Aug 2012, 04:18
Lets take total to be 140 then manager's salary is 20 and 120 is left for 8 workers to share. Each worker's wage is 15 (120/8) thus 20/15 or 4/3 is the value of q.

mnjkr123 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

Assume that floor worker is paid x then the manager gets paid qx.
Total floor workers wages = 8x and manager wages = qx so the combined wages = 8x + qx
It is given qx = 1/7 (8x +qx) => 6 qx = 8 x => q = 8/6 = 4/3 so the answer should be A.
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Re: A recycling facility is staffed by eight floor workers and o [#permalink] New post 24 Aug 2012, 09:48
+1 A

You are right. Not a 700 question.
But MGMAT has very difficult questions!
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Re: A recycling facility is staffed by eight floor workers and o [#permalink] New post 27 Aug 2012, 02:58
+1 for A. The wording is little tricky. We have to concentrate on '1/7th of all wages paid'.

Let x be the wages of each worker

..> qx=1/7(8x+qx)
q=4/3
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Re: A recycling facility is staffed by eight floor workers and o [#permalink] New post 10 Dec 2012, 00:22
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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: x
wage of manager: qx
the 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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Re: A recycling facility is staffed by eight floor workers and o   [#permalink] 10 Dec 2012, 00:22
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