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Company \(X\) had a ratio of 4 full-time employees for every 3 part-time employees until 2 part-time employees quit. If

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Company \(X\) had a ratio of 4 full-time employees for every 3 part-time employees until 2 part-time employees quit. If

by M7MBA » Wed Oct 07, 2020 10:04 am

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Company \(X\) had a ratio of 4 full-time employees for every 3 part-time employees until 2 part-time employees quit. If that brought the current ratio down to 3:2, how many employees does the company now have?

A. 30
B. 40
C. 50
D. 60
E. 70

Answer: B

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Re: Company \(X\) had a ratio of 4 full-time employees for every 3 part-time employees until 2 part-time employees quit.

by Scott@TargetTestPrep » Thu Oct 22, 2020 9:29 am
M7MBA wrote: ↑
Wed Oct 07, 2020 10:04 am
 Company \(X\) had a ratio of 4 full-time employees for every 3 part-time employees until 2 part-time employees quit. If that brought the current ratio down to 3:2, how many employees does the company now have?

A. 30
B. 40
C. 50
D. 60
E. 70

Answer: B

Solution:

We know that the ratio of fulltime to part-time employees = 4x : 3x

After 2 part-time employees quit, the ratio is 3:2, so we have:

4x/(3x-2) = 3/2

8x = 3(3x - 2)

8x = 9x - 6

6 = x

Thus, the company now has 4(6) + 3(6) - 2 = 40 total employees.

Answer: B

Scott Woodbury-Stewart
Founder and CEO
[email protected]

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