In a company, the ratio of men and women is 5 : 3, respectively. When 150 additional women are employed in the company, the ratio becomes 5 : 4. How many men are employed in the company?

Question

Accepted Answer

Let the number of men be 5x and the number of women be 3x.

After 150 additional women are employed, the number of women becomes 3x + 150.

The new ratio of men to women is 5 : 4.

So, (5x) / (3x + 150) = 5 / 4

Cross-multiplying:
4 * 5x = 5 * (3x + 150)
20x = 15x + 750

Subtract 15x from both sides:
20x - 15x = 750
5x = 750

Divide both sides by 5:
x = 150

Number of men = 5x = 5 * 150 = 750

Check the options: 750 is option 2.

Therefore, the correct answer is 750.

Answer

Answer

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