Question

There are 35% women in a factory the rest are men. The number of men exceeds that of women by 252. Find the total number of workers

Answer 1

Let x be the number of workers in the factory.

If 35% are women, then the remaining are men, which is 65%.

Thus, number of women is 35x/100 and number of men is 65x/100.

If the number of men exceeds number of women by 252, then

65x/100 +252 = 35x/100

or 65x/100 - 35x/100 = 252.

Thus, we get 30x/100 = 252 or

3x/10 = 252

Thus, x = 252 * 10 / 3 = 10 * 84 = 840.

Therefore there are 840 workers in the factory.

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Answer 2

Answer:

Let x be the number of workers in the factory.

If 35% are women, then the remaining are men, which is 65%.

Thus, number of women is

35x/100

and number of men is

65x/100

According to the question, the number of men exceeds number of women by 252, then

35x/100 =65x /10+252

30x/100 =252

Thus,

3x=252×10

x=840

Therefore the total number of workers in factory are 840

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