If 75 percent of the employees of a certain company take a winter vacation, 40 percent take a winter and a summer vacation, and 20 percent take neither a winter nor a summer vacation, what percent of the employees take a summer vacation but not a winter vacation?

Question

Mathematics

Lorenzo Walters

27 June, 03:35

If 75 percent of the employees of a certain company take a winter vacation, 40 percent take a winter and a summer vacation, and 20 percent take neither a winter nor a summer vacation, what percent of the employees take a summer vacation but not a winter vacation?

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Answers (1)

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Max Mendoza · Answer 1

Answer: 5%

Step-by-step explanation:

The number of employees that took Winter vacation = 75%

The number of employees that took Both winter and summer vacation = 40%

The number that took Neither = 20

The total number of employees (%) = Winter + Summer - Both + Neither = 100%

75% + Summer - 40% + 20% = 100%

Solving for Summer = 45%

Now we are interested in the employees that took summer but not winter = Summer only = Summer - Both (i. e. summer overlap with winter) = 45%-40% = 5%