To determine the total number of people employed after the changes, we need to calculate the new number of men and women and then add them together.
Initially, the firm employed 47 men and 13 women. After hiring 8 women, the number of women becomes 13 + 8 = 21.
After discharging 5 men, the number of men becomes 47 - 5 = 42.
To find the total number of people employed, we add the number of men and women together:
Total = Number of men + Number of women
Total = 42 + 21
Total = 63
Therefore, the total number of people employed after hiring 8 women and discharging 5 men is 63.