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Last year $48,000 of a certain store's profit was shared

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Last year $48,000 of a certain store's profit was shared

by Gmat_mission » Sat Apr 06, 2019 4:42 am

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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

[spoiler]OA=B[/spoiler]

Source: Official Guide
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by Brent@GMATPrepNow » Sat Apr 06, 2019 6:58 am
Gmat_mission 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

[spoiler]OA=B[/spoiler]

Source: Official Guide
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

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Brent
Brent Hanneson - Creator of GMATPrepNow.com
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by swerve » Sat Apr 06, 2019 9:55 am
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 correct option.
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