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At a technology firm, employees are categorizes as either

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by Gmat_mission » Sun Jun 30, 2019 9:30 am

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Answers

A

B

C

D

E

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Difficulty—

At a technology firm, employees are categorized as either engineers or non-engineers. 80% of the engineers have a masters degree and 55% of the non-engineers have a masters degree. If 70% of all employees have a masters degree, what percent of all employees are engineers?

A. 55%
B. 60%
C. 65%
D. 70%
E. 75%

[spoiler]OA=B[/spoiler]

Source: Veritas Prep
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by Scott@TargetTestPrep » Tue Jul 02, 2019 5:48 pm
Gmat_mission wrote:At a technology firm, employees are categorized as either engineers or non-engineers. 80% of the engineers have a masters degree and 55% of the non-engineers have a masters degree. If 70% of all employees have a masters degree, what percent of all employees are engineers?

A. 55%
B. 60%
C. 65%
D. 70%
E. 75%

[spoiler]OA=B[/spoiler]

Source: Veritas Prep
We can let the total number of employees = 100.

Thus, 70 have a master's degree and 30 do not.

We can let n = the number of engineers and create the following equation:

0.8n + 0.55(100 - n) = 70

0.8n + 55 - 0.55n = 70

0.25n = 15

n = 60

Thus, engineers are 60% of the employees.

Answer: B

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