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

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Math Expert
Joined: 02 Sep 2009
Posts: 53066
A company has 3 vice presidents, 15 executives, 82 data entry employee  [#permalink]

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17 Oct 2018, 04:06
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(N/A)

Question Stats:

74% (02:33) correct 26% (03:09) wrong based on 55 sessions

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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

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

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17 Oct 2018, 05:02
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.
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Re: A company has 3 vice presidents, 15 executives, 82 data entry employee  [#permalink]

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18 Oct 2018, 17:19
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

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Re: A company has 3 vice presidents, 15 executives, 82 data entry employee   [#permalink] 18 Oct 2018, 17:19
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# A company has 3 vice presidents, 15 executives, 82 data entry employee

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