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

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Gmat_mission: Legendary Member; Posts: 1622; Joined: Thu Mar 01, 2018 7:22 amFollowed by: 2 members

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

Source: Beat The GMAT — Problem Solving | Sat Apr 06, 2019 4:42 am

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Brent@GMATPrepNow: GMAT Instructor; Posts: 16206; Joined: Mon Dec 08, 2008 6:26 pmFollowed by: 1268 members; Location: Vancouver, BC; Thanked: 5254 times; GMAT Score:770

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

Cheers,
Brent

Brent Hanneson - Creator of GMATPrepNow.com

swerve: Legendary Member; Posts: 2604; Joined: Sun Oct 29, 2017 2:04 pmFollowed by: 6 members

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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