Let the number of female employees in the company be represented by f, and the number of male employees be represented by m.
a) We can use the information given to set up the following equation:
(3750f + 4500m)/(f + m) = 4000
Multiplying both sides by f + m, we get:
3750f + 4500m = 4000(f + m)
Expanding and simplifying, we get:
250f = 500m
Dividing both sides by 250, we get:
f/m = 2/1
Therefore, the ratio of the number of female employees to male employees is 2:1.
b) The total number of employees is f + m. To find the percentage of employees that are female, we can use the ratio we found in part a) to write:
f/(f + m) = 2/(2+1) = 2/3
Multiplying by 100%, we get:
females as a percentage = (2/3) x 100% = 66.67%
Therefore, approximately 66.67% of the employees are females.