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A recycling facility is staffed by eight floor workers and o [#permalink]

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20 Aug 2012, 02:13

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30% (01:04) wrong based on 148 sessions

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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

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

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.

Re: A recycling facility is staffed by eight floor workers and o [#permalink]

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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.

Re: A recycling facility is staffed by eight floor workers and o [#permalink]

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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.

Re: A recycling facility is staffed by eight floor workers and o [#permalink]

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27 Aug 2012, 03:58

+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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I've failed over and over and over again in my life and that is why I succeed--Michael Jordan Kudos drives a person to better himself every single time. So Pls give it generously Wont give up till i hit a 700+

Re: A recycling facility is staffed by eight floor workers and o [#permalink]

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10 Dec 2012, 01:22

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This post received KUDOS

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: \(\frac{1}{7}.(qx + 8x)\)

Re: A recycling facility is staffed by eight floor workers and o [#permalink]

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12 Aug 2015, 16:23

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Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: A recycling facility is staffed by eight floor workers and o [#permalink]

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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

gmatclubot

Re: A recycling facility is staffed by eight floor workers and o
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13 Aug 2015, 04:10

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