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A recycling facility is staffed by eight floor workers and o

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macjas
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A recycling facility is staffed by eight floor workers and o [#permalink] New post   20 Aug 2012, 02:13
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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, 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


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Funny, I usually find MGMAT quant very hard but apparently this is a 700 level question according to them.
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Re: A recycling facility is staffed by eight floor workers and o [#permalink] New post   10 Dec 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



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] New post   20 Aug 2012, 02:22
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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 $xq.

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

Answer: A.

Edit: Edited typo
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Re: A recycling facility is staffed by eight floor workers and o [#permalink] New post   27 Aug 2012, 03:58
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+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   20 Aug 2012, 02:35
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, 05:18
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, 10:48
+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   13 Aug 2015, 04:10
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.

let total wages =700 (convenient number)
Manager's salary=100 and 8x = 600; x = 600/8
qx = 100
q*600/8 = 100
q = 4/3
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Re: A recycling facility is staffed by eight floor workers and o [#permalink] New post   30 Dec 2020, 10:21
We have 8 workers and 1 manager
The workers are paid x and the manager is paid x*q
Workers salary is 8x and manager's salary is xq and it account 1/7 of total
Therefore 8x=6/7 and xq=1/7

Solve for x : 56x=6 x=3/28
Now solve for q : 3/28q =1/7 q=28/21 = 4/3

Answer A)
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Re: A recycling facility is staffed by eight floor workers and o [#permalink] New post   17 Apr 2022, 05:21
Use Smart numbers for the wage that the workers are payed!

Example:
Worker wage: 10
Manager is paid: q * 10 ( wich is 1 /7 of the total )

So, Total = ( q * 10 ) * 7

Solve for q

Manager wages + worker wage * 8 = total wage
q * 10 + 10 * 8 = q * 10 * 7
10 q + 80 = 70 q
q = 4/3
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Re: A recycling facility is staffed by eight floor workers and o [#permalink]
17 Apr 2022, 05:21
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