Final answer:
To find the total number of workers in the company, we will calculate 25% of the total as 825 and solve for the entire 100%, resulting in a total of 3300 workers, option (a).
Step-by-step explanation:
To determine how many workers there are in total at the company, we can use the information provided that 75% of the workers are women. If 825 people represent the remaining 25% who are not women, we can set up a proportion to find the total number of workers.
Let's denote the total number of workers as 'T'. Then, we can express the number of male workers as 25% of T, or (25/100) * T, which equals 825.
So, we have the equation: (25/100) * T = 825
- Multiply both sides by 100 to get rid of the fraction: 25 * T = 825 * 100
- Now divide both sides by 25 to solve for T: T = (825 * 100) / 25
- Calculate T: T = 3300
Therefore, the total number of workers in the company is 3300, which corresponds to option (a).