Hey there!
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
One way we can solve the problem is using proportions. If 90% of the workers are women, that means that 10% of the workers are men. This means that for every 10 men workers, there is a total of 100 workers. We want to know that for every 440 men, how many total workers are there? We can set up the following proportion, and let x represent the total number of workers:
10/100 = 440/x
Using cross products, we know that we can multiply the numerator of the first one (10) with the denominator of the second one (x), and it will the product of the denominator of the first one (100) and the numerator of the second one (440). So:
(10)x = 440(100)
10x = 44,000
x = 4,400
This means that in a factory of 440 men workers, there is a total of 4,400 workers in the factory.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Another way we can solve the problem is we can find what 440 is 10% of.
440 = .10x
This equation means, "440 is 10% of what?" X will represent the total number of workers. So we can solve the equation:
440 = .10x
4,400 = x
This means that in a factory of 440 men workers, there is a total of 4,400 workers in the factory.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Hope this helps! Have a great day, and let me know if you need more help!
