GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 18 Oct 2019, 04:20

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# A company has 3 vice presidents, 15 executives, 82 data entry employee

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 58458
A company has 3 vice presidents, 15 executives, 82 data entry employee  [#permalink]

### Show Tags

17 Oct 2018, 05:06
00:00

Difficulty:

35% (medium)

Question Stats:

72% (02:31) correct 28% (03:13) wrong based on 59 sessions

### HideShow timer Statistics

A company has 3 vice presidents, 15 executives, 82 data entry employees, and no other employees. The average salary for the fifteen executives is $80,000 and the average salary for the 82 data entry employees is$25,000. If the average salary across all three types of employees is $44,500, then what is the average salary of the three vice presidents? A.$250,000
B. $300,000 C.$350,000
D. $400,000 E.$450,000

_________________
Manager
Joined: 09 Jun 2018
Posts: 187
Location: United States
GPA: 3.95
WE: Manufacturing and Production (Energy and Utilities)
A company has 3 vice presidents, 15 executives, 82 data entry employee  [#permalink]

### Show Tags

17 Oct 2018, 06:02
Total average = 44500

Let x be VP salary.

$$(3*x + 15*(80,000) + 82*(25,000))/(3+15+82) = 44500$$

Solve to get x = 400,000

Option D.
_________________
If you found this relevant and useful, please Smash that Kudos button!
Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 8099
Location: United States (CA)
Re: A company has 3 vice presidents, 15 executives, 82 data entry employee  [#permalink]

### Show Tags

18 Oct 2018, 18:19
1
Bunuel wrote:
A company has 3 vice presidents, 15 executives, 82 data entry employees, and no other employees. The average salary for the fifteen executives is $80,000 and the average salary for the 82 data entry employees is$25,000. If the average salary across all three types of employees is $44,500, then what is the average salary of the three vice presidents? A.$250,000
B. $300,000 C.$350,000
D. $400,000 E.$450,000

There are 100 employees in this company. Let’s let n = the average salary of the three vice presidents. We can create the weighted average equation:

44,500 = (3n + 15 x 80,000 + 82 x 25,000)/(100)

4,450,000 = 3n + 1,200,000 + 2,050,000

4,450,000 = 3n + 3,250,000

1,200,000 = 3n

400,000 = n

_________________

# Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Re: A company has 3 vice presidents, 15 executives, 82 data entry employee   [#permalink] 18 Oct 2018, 18:19
Display posts from previous: Sort by