The ratio of male to female employees in a company is 8:6. If 15 more female employees join the company, the new ratio of male to female employees becomes 8:7. What is the total number of employees in the company initially?

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Accepted Answer

1. Let male = $8x$ and female = $6x$.
2. After 15 join, female = $6x+15$ and ratio becomes $\dfrac{8x}{6x+15}=\dfrac{8}{7}$.
3. Solve: $7\cdot8x=8(6x+15)\Rightarrow56x=48x+120\Rightarrow8x=120\Rightarrow x=15$.
4. Total initially = $8x+6x=14x=14\cdot15=210$.
FINAL_ANSWER: b

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