A recycling facility is staffed by eight floor workers and o

Question

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 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.

Bunuel · Answer

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.

mnjkr123 · Answer

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 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.

rajareena · Answer

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.

rajathpanta · Answer

+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

mbaiseasy · Answer

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

mathivanan · Answer

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

Sabby · Answer

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)

anish823 · Answer

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

bumpbot · Answer

Automated notice from GMAT Club BumpBot: 

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

 This post was generated automatically.

A recycling facility is staffed by eight floor workers and o

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Problem Solving (PS) Questions

A recycling facility is staffed by eight floor workers and o

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards