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Last year $48,000 of a certain store's profit was shared by its 2 owne
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22 Jun 2018, 01:06
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83% (01:13) correct 17% (01:46) wrong based on 315 sessions
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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 ?
Last year $48,000 of a certain store's profit was shared by its 2 owne
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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
Re: Last year $48,000 of a certain store's profit was shared by its 2 owne
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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
Last year $48,000 of a certain store's profit was shared by its 2 owne
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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
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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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Brent Hanneson – GMATPrepNow.com Sign up for our freeQuestion of the Dayemails
Re: Last year $48,000 of a certain store's profit was shared by its 2 owne
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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
_________________
Brent Hanneson – GMATPrepNow.com Sign up for our freeQuestion of the Dayemails
Re: Last year $48,000 of a certain store's profit was shared by its 2 owne
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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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