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

00:00

A

B

C

D

E

Difficulty:

25% (low)

Question Stats:

71% (01:55) correct
29% (00:59) wrong based on 66 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.

Re: A recycling facility is staffed by eight floor workers and o [#permalink]
20 Aug 2012, 01:22

1

This post received KUDOS

Expert's post

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.

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

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

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

_________________

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]
10 Dec 2012, 00:22

1

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)