Final answer:
To find the total number of workers at the company, we used two methods. Both methods, percentage calculation and ratio proportion, showed that there are 5,600 workers in total at the company when given that 55% are women and 2,520 are not women.
Step-by-step explanation:
Let's solve the problem using two different methods to find the total number of workers in the company.
Method 1: Using Percentages
If 55% of the workers are women, then 45% are not women (since 100% - 55% = 45%). We know that the number of people who aren't women is 2,520. Since this represents 45% of the workers, we can write the equation:
0.45 × total number of workers = 2,520
To find the total number of workers, we divide 2,520 by 0.45:
total number of workers = 2,520 / 0.45
total number of workers = 5,600
Method 2: Using Ratios
We know that for every 45 non-women workers, there are 55 women workers. We can set up a ratio where the number of non-women workers (2,520) is to 45 as the total number of workers is to 100 (since 100 represents the total percent of workers).
2,520 / 45 = total number of workers / 100
To solve for the total number of workers, we cross-multiply and get:
100 × 2,520 = 45 × total number of workers
252,000 = 45 × total number of workers
To find the total number of workers, we divide 252,000 by 45:
total number of workers = 252,000 / 45
total number of workers = 5,600
Both methods give us the same answer: there are 5,600 workers in total at the company.