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Company X has 50 employees and Company Y has 60 employees. Both companies have the same number of full-time employees, but Company Y has 3 more than twice the number of part time employees that Company X has. How many part time employees does company Y have?

Option A:

3

Option B:

7

Option C:

14

Option D:

17

Option E:

20

Option D is the correct answer.

Let P1 and P2 be the part time employees of the company of X and Y.

Let F1 and F2 be the full time employees of the company of X and Y.

Given F1 = F2

P2 = 2P1 + 3

So, P1 + F1 = 50 (from Equation 1)

P2 + F2 = 60

2P1 + 3+ F2 = 60

2P1 + F1 = 57 (from Equation 2)

P1 = 7

So P2 = 17

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