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22 Jun 2018, 01:06
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Last year $48,000 of a certain store's profit was shared by its 2 owners and their 10 employees. Each of the 2 owners received 3 times as much as each of their 10 employees. How much did each owner receive from the$48,000 ?

A. $12,000 B.$9,000

C. $6,000 D.$4,000

### Show Tags

22 Jun 2018, 02:49
4
1
Bunuel wrote:
Last year $48,000 of a certain store's profit was shared by its 2 owners and their 10 employees. Each of the 2 owners received 3 times as much as each of their 10 employees. How much did each owner receive from the$48,000 ?

A. $12,000 B.$9,000

C. $6,000 D.$4,000

### Show Tags

22 Jun 2018, 04:55
2
Bunuel wrote:
Last year $48,000 of a certain store's profit was shared by its 2 owners and their 10 employees. Each of the 2 owners received 3 times as much as each of their 10 employees. How much did each owner receive from the$48,000 ?

A. $12,000 B.$9,000

C. $6,000 D.$4,000

E. $3,000 We can PLUG IN THE ANSWERS, which represent the share for each owner. Since the share for each owner is 3 times the share for each employee, the correct answer is almost certainly a multiple of 3 (A, B, C or E). When the correct answer is plugged in, the total profit = 48,000. B:$9000 for each of the 2 owners, implying $3000 for each of the 10 employees Total profit = (2*9000) + (10*3000) = 18000 + 30000 = 48,000. Success! _________________ GMAT and GRE Tutor Over 1800 followers GMATGuruNY@gmail.com New York, NY If you find one of my posts helpful, please take a moment to click on the "Kudos" icon. Available for tutoring in NYC and long-distance. For more information, please email me at GMATGuruNY@gmail.com. Math Expert Joined: 02 Aug 2009 Posts: 7754 Re: Last year$48,000 of a certain store's profit was shared by its 2 owne  [#permalink]

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22 Jun 2018, 03:31
1
1
Bunuel wrote:
Last year $48,000 of a certain store's profit was shared by its 2 owners and their 10 employees. Each of the 2 owners received 3 times as much as each of their 10 employees. How much did each owner receive from the$48,000 ?

A. $12,000 B.$9,000

C. $6,000 D.$4,000

E. $3,000 NEW question from GMAT® Official Guide 2019 (PS17812) Two ways.. 1) weighted average.. Owners : employees= 2*3:10.. So owners get $$48000*\frac{6}{6+10}=18000$$ So each owner gets half of it =18000/2=9000 2) let each employee get X, so owner gets 3x.. Total = 2*3x+10*X=48000.......16x=48000......X=3000 So each owner gets =3000*3=9000 B _________________ CEO Joined: 12 Sep 2015 Posts: 3922 Location: Canada Re: Last year$48,000 of a certain store's profit was shared by its 2 owne  [#permalink]

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23 Jun 2018, 09:18
1
Top Contributor
Bunuel wrote:
Last year $48,000 of a certain store's profit was shared by its 2 owners and their 10 employees. Each of the 2 owners received 3 times as much as each of their 10 employees. How much did each owner receive from the$48,000 ?

A. $12,000 B.$9,000
C. $6,000 D.$4,000
E. $3,000 Each owner received 3 times as much as each employee Let E = the amount (in dollars) that ONE employee received So, 3E = the amount (in dollars) that ONE owner received Last year$48,000 of a certain store's profit was shared by its 2 owners and their 10 employees.
In other words: 3E + 3E + E + E + E + E + E + E + E + E + E + E = 48,000
Simplify: 16E = 48,000
So, E = 48,000/16
= 3,000

So, each EMPLOYEE received $3000, which means each OWNER received$9000

Cheers,
Brent
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Re: Last year $48,000 of a certain store's profit was shared by its 2 owne [#permalink] ### Show Tags 25 Jun 2018, 12:08 1 Bunuel wrote: Last year$48,000 of a certain store's profit was shared by its 2 owners and their 10 employees. Each of the 2 owners received 3 times as much as each of their 10 employees. How much did each owner receive from the $48,000 ? A.$12,000

B. $9,000 C.$6,000

D. $4,000 E.$3,000

We can let the employee share = n and thus the owner share = 3n, and we have:

48,000 = 2(3n) + 10n

48,000 = 16n

3,000 = n

So each owner received 3 x 3,000 = 9,000 dollars.

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Re: Last year $48,000 of a certain store's profit was shared by its 2 owne [#permalink] ### Show Tags 23 Jun 2018, 09:25 Top Contributor Bunuel wrote: Last year$48,000 of a certain store's profit was shared by its 2 owners and their 10 employees. Each of the 2 owners received 3 times as much as each of their 10 employees. How much did each owner receive from the $48,000 ? A.$12,000

B. $9,000 C.$6,000

D. $4,000 E.$3,000

Although I believe it's best to use one variable to solve this question, we can also use two variables
Let's see how that solution would look.

Let x = the amount (in dollars) that ONE employee received
Let y = the amount (in dollars) that ONE owner received

Each owner received 3 times as much as each employee
So, we can write: y = 3x

Last year $48,000 of a certain store's profit was shared by its 2 owners and their 10 employees. So, the total amount two owners received = y + y = 2y The total amount 10 employees received = 10x So, we can write: 10x + 2y = 48,000 At this point, we have the following system of linear equations: y = 3x 10x + 2y = 48,000 When we solve this system (I'll leave it to you to do this), we get x = 3000 and y = 9000 So, each each OWNER received$9000

Cheers,
Brent
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### Show Tags

01 May 2019, 10:31
Since total amount is $48000, and considering 2owners and 10 employees so total makes 12. So each gets$48000/12 = $3000. Now since the 2 owners gets trice so each will get 3*3000 =$9000
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Re: Last year $48,000 of a certain store's profit was shared by its 2 owne [#permalink] ### Show Tags 08 May 2019, 05:08 Bunuel wrote: Last year$48,000 of a certain store's profit was shared by its 2 owners and their 10 employees. Each of the 2 owners received 3 times as much as each of their 10 employees. How much did each owner receive from the $48,000 ? A.$12,000

B. $9,000 C.$6,000

D. $4,000 E.$3,000

NEW question from GMAT® Official Guide 2019

(PS17812)

Let,

Each Employee get x

Each owner will get 3x

Now,

3x+3x+10x=48000

=>16x=48000

=>x=3000

So, each owner will get 3*3000 =9000

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