Question

The average age of 96 workers in a factory is 32 years. The average age of the men is 41 years and that of the women is 25 years. Find the number of women in the factory.

• A. 54
• B. 57
• C. 67
• D. 62

Answer 1

Answer:

A. 54

Let total workers = 96

Average age = 32 ⇒ Total age = (96 \times 32 = 3072)

Let number of women = (w), so men = (96 - w)

Total age of men = (41(96 - w))
Total age of women = (25w)

So,
(41(96 - w) + 25w = 3072)

(3936 - 41w + 25w = 3072)
(3936 - 16w = 3072)

(16w = 864)
(w = 54)

54 women