A town of 45000 people has 5/9ths males and the rest females. If 40% of the males are married, what percentage of females are married?
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Answer: B. 50%
Explanation
Calculating total male and female populations from given ratios establishes baseline demographic group sizes. Multiplying twenty-five thousand males by forty percent determines the exact number of married male individuals. Equating married males to married females yields ten thousand, which represents fifty percent of all females. Demographic calculations use fractional population splits to determine exact subgroup counts in large communities. In traditional demographic word problems, the total count of married husbands equals the total count of married wives. Percentages express subgroup proportions relative to the total population size of that specific demographic category.
Sociologists analyze census data to determine marital status distributions across different gender and age cohorts. Public health administrators study demographic marriage statistics when planning community healthcare and family support programs. Market researchers evaluate household composition statistics when targeting consumer products toward specific demographic segments. Option A suggests sixty percent which overestimates the proportion of married females in the town population. Option C suggests forty-five percent which miscalculates the percentage based on incorrect subgroup ratios. Option D suggests forty percent which confuses the male marriage percentage with the female marriage rate.
- Subject
- Mathematics
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- Mathematics
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- —
- Difficulty
- medium
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