1. **Stating the problem:** The ratio of female to male employees is initially 2:5. After hiring 6 more women, the ratio becomes 7:10. We need to find the total number of employees after hiring these 6 women. 2. **Define variables:** Let the initial number of females be $2x$ and males be $5x$. 3. **After hiring 6 women:** Females become $2x + 6$, males remain $5x$. 4. **New ratio given:** \[ \frac{2x + 6}{5x} = \frac{7}{10} \] 5. **Cross multiply to solve for $x$:** \[ 10(2x + 6) = 7(5x) \] 6. **Expand both sides:** \[ 20x + 60 = 35x \] 7. **Bring terms to one side:** \[ 60 = 35x - 20x \] 8. **Simplify:** \[ 60 = 15x \] 9. **Solve for $x$:** \[ x = \frac{60}{15} = 4 \] 10. **Calculate initial females and males:** \[ \text{Females} = 2x = 2 \times 4 = 8 \] \[ \text{Males} = 5x = 5 \times 4 = 20 \] 11. **After hiring 6 women:** \[ \text{Females} = 8 + 6 = 14 \] 12. **Total employees after hiring:** \[ 14 + 20 = 34 \] **Final answer:** There are 34 persons employed at Prospero after the 6 women have been hired.