Question

One third of the faculty members of a department are
female. Sixteen of the male teachers are unmarried, while
60% of them are married. The total number of faculty
members in the department is

Answer 1

Answer:

Total number of faculty members in the department is 60.

Step-by-step explanation:

Let the total number of faculty members be x.

Since one third of the faculty members are female,

Female faculty = (1/3)x

Therefore, Male faculty = x - (1/3)x = (2/3)x

Since 16 Male teachers are unmarried,

Total Male faculty = Males married + Males unmarried

(2/3)x = 60% of (2/3)x + 16

(2/3)x = (60/100)*(2/3)x + 16

(2/3)x = (2/5)x + 16

(2/3)x - (2/5)x = 16

[(10-6)/15]x = 16 ...... (Cross multiplication)

(4/15)x = 16

x = 16*(15/4)

x = 4*15

x = 60

Answer 2

Step-by-step explanation:

x=60 hope it helps . plz mark me as BRAINLIEST