Solutions
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Question
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
Difficulty Level
EasySolution
Option D is the correct answer.
Option Analysis
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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