Hi hudacse6,
To start, there are additional pieces of information that you have to consider beyond that fact that there are 200 total people. We are also told that 20% of men and 25% of women are homeowners - and those are both specific fractions.
20% = 1/5, so we know that the number of men MUST be a multiple of 5
25% = 1/4, so we know that the number of women MUST be a multiple of 4
These facts tell us that M and W cannot be "any" numbers from 1-200, they can only be specific numbers AND the sum of those two numbers must add up to 200. In addition, we want the LEAST number of homeowners, meaning that we want to maximize the number of men (since a smaller percentage are homeowners) and minimize the number of women.
It's not clear whether you accounted for that additional information in your calculations. If you repost and include the 'steps' that you worked through, then we should be able to define why you did not get to the correct answer.
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Rich
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