Subjects algebra

Married Employees 0B6Efe

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1. **Problem statement:** In a company, 67.5% of employees are married. 37.5% of employees are female, and 80% of female employees are married. We need to find the percentage $x$ of male employees who are married. 2. **Define variables:** - Let total employees = 100 (for simplicity). - Number of females = 37.5. - Number of males = 100 - 37.5 = 62.5. - Married females = 80% of 37.5 = $0.8 \times 37.5 = 30$. - Let married males = $x\%$ of 62.5 = $\frac{x}{100} \times 62.5$. 3. **Use total married percentage:** Total married employees = 67.5% of 100 = 67.5. 4. **Set up equation:** $$\text{Married females} + \text{Married males} = \text{Total married}$$ $$30 + \frac{x}{100} \times 62.5 = 67.5$$ 5. **Solve for $x$:** $$\frac{x}{100} \times 62.5 = 67.5 - 30 = 37.5$$ $$x = \frac{37.5 \times 100}{62.5} = \frac{3750}{62.5} = 60$$ 6. **Answer:** $x = 60$. So, 60% of the male employees are married. **Final answer:** C. 60.