A survey of 400 school employees yielded the following information: 299 were instructors, 215 were full-time faculty, and 170 of the instructors were full-time faculty. How many of the 400 surveyed school employees were instructors or were full-time faculty?

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Mathematics

Blaze Page

21 November, 22:16

A survey of 400 school employees yielded the following information: 299 were instructors, 215 were full-time faculty, and 170 of the instructors were full-time faculty. How many of the 400 surveyed school employees were instructors or were full-time faculty?

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Ayla Dawson · Answer 1

344

Step-by-step explanation:

299 employees are instructors. 170 of them are also full time. So 129 of them aren't full time.

215 employees are full time. 170 of them are also instructors. So 45 of them aren't instructors.

Therefore, the number of employees who are instructors or full time is:

129 + 45 + 170 = 344