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Last year $48,000 of a certain store's profit was shared by its 2 owne

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Last year $48,000 of a certain store's profit was shared by its 2 owne  [#permalink]

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New post 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

E. $3,000


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(PS17812)

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Last year $48,000 of a certain store's profit was shared by its 2 owne  [#permalink]

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New post 22 Jun 2018, 02:49
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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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Re: Last year $48,000 of a certain store's profit was shared by its 2 owne  [#permalink]

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New post 22 Jun 2018, 03:31
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]

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New post 22 Jun 2018, 04:55
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]

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New post 23 Jun 2018, 09:18
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
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Re: Last year $48,000 of a certain store's profit was shared by its 2 owne  [#permalink]

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New post 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

Answer: B

Cheers,
Brent
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Re: Last year $48,000 of a certain store's profit was shared by its 2 owne  [#permalink]

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New post 25 Jun 2018, 12:08
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


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
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Re: Last year $48,000 of a certain store's profit was shared by its 2 owne  [#permalink]

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New post 05 Sep 2018, 02:11
https://youtu.be/EChVWImx8CE
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Re: Last year $48,000 of a certain store's profit was shared by its 2 owne &nbs [#permalink] 05 Sep 2018, 02:11
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