The ratio of men to women is 5 to 4. If 135 employees work there in total, how many are women

To solve this problem, we need to set up an equation. We know that the total number of employees (men plus women) is 135, and we also know that they are in the ratio of 5 men to 4 women. However, this ratio is simply a proportion (it represents a comparison, rather than actual numbers of employees). For this reason, we can set up the following equation, where both numbers in the ratio are multiplied by the same factor x to equal the total number of employees.

5x + 4x = 135

If we simplify the left side of the equation by combining like terms, we get:

9x = 135

Then, we should divide both sides by 9 in order to isolate the variable x on the left side of the equation.

x = 15

This means that each of the two numbers in our ratio must be multiplied by 9 to find the number of men and women employees.

Since there are 4x women employees, this is equivalent to:

4x = 4(15) = 60 women employees

Therefore, 60 out of the 135 total employees are women.

Hope this helps!