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Buy "All-In-One Standard ($149)", get free Daily quiz (2 mon). Coupon code : SPECIAL # Last year$48,000 of a certain store's profit was shared by its 2 owne

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Math Expert
Joined: 02 Sep 2009
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Last year $48,000 of a certain store's profit was shared by its 2 owne [#permalink] ### Show Tags 22 Jun 2018, 00:06 12 00:00 Difficulty: 5% (low) Question Stats: 83% (01:18) correct 17% (01:48) wrong based on 710 sessions ### HideShow timer Statistics 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)

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Last year $48,000 of a certain store's profit was shared by its 2 owne [#permalink] ### Show Tags 22 Jun 2018, 01:49 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)

let the amount received by each employee be x.

So, 10 employees got = 10x
each owner got = 3x

we can form an equation ,

3x+3x + 10x = 48000
16x = 48000
x = 3000

we are asked to find out the amount of each owner .
3x
=3*3000
=9000

Thus , B is the best option.
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Posts: 7334
Re: Last year $48,000 of a certain store's profit was shared by its 2 owne [#permalink] ### Show Tags 22 Jun 2018, 02:31 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
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Last year $48,000 of a certain store's profit was shared by its 2 owne [#permalink] ### Show Tags 22 Jun 2018, 03:55 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 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!

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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, 08:18 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 Answer: B Cheers, Brent _________________ Test confidently with gmatprepnow.com CEO Joined: 11 Sep 2015 Posts: 3431 Location: Canada Re: Last year$48,000 of a certain store's profit was shared by its 2 owne  [#permalink]

### Show Tags

23 Jun 2018, 08:25
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 Answer: B Cheers, Brent _________________ Test confidently with gmatprepnow.com Target Test Prep Representative Status: Founder & CEO Affiliations: Target Test Prep Joined: 14 Oct 2015 Posts: 4920 Location: United States (CA) Re: Last year$48,000 of a certain store's profit was shared by its 2 owne  [#permalink]

### Show Tags

25 Jun 2018, 11:08
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. Answer: B _________________ Scott Woodbury-Stewart Founder and CEO GMAT Quant Self-Study Course 500+ lessons 3000+ practice problems 800+ HD solutions Intern Joined: 04 Sep 2018 Posts: 39 GPA: 3.33 Re: Last year$48,000 of a certain store's profit was shared by its 2 owne  [#permalink]

### Show Tags

14 Nov 2018, 11:35
Hello everyone. Just want a quick opinion. Is plugging the answers, and comparing to the share for each owner, and then checking 3 times the amount received a sane way of approaching this question?

Thanks !