Question

In a city in which there are 90,000 employed workers, 18,000 are

public employees. Of this number, 6,000 are employed by the federal
government, 8,000 by the state, and 4,000 by the city.
a. What percent of all workers are public employees?
b. What percent of the public employees are employed by the federal
government?
c. What percent of all employees are employees of the state?

Answer 1

Answer: a.) 20%, b.) 33.33%, c.) 8.89%

Explanation:

a. To find the percentage of all workers who are public employees, you can divide the number of public employees by the total number of employed workers and then multiply by 100:

Percentage of public employees = (Number of public employees / Total number of employed workers) * 100

Percentage of public employees = (18,000 / 90,000) * 100

Percentage of public employees = (1/5) * 100

Percentage of public employees = 20%

So, 20% of all workers are public employees.

b. To find the percentage of public employees employed by the federal government, you can divide the number of federal government employees by the total number of public employees and then multiply by 100:

Percentage of federal government employees = (Number of federal government employees / Number of public employees) * 100

Percentage of federal government employees = (6,000 / 18,000) * 100

Percentage of federal government employees = (1/3) * 100

Percentage of federal government employees = 33.33% (rounded to two decimal places)

So, approximately 33.33% of the public employees are employed by the federal government.

c. To find the percentage of all employees who are employees of the state, you can divide the number of state employees by the total number of employed workers and then multiply by 100:

Percentage of state employees = (Number of state employees / Total number of employed workers) * 100

Percentage of state employees = (8,000 / 90,000) * 100

Percentage of state employees = (4/45) * 100

Percentage of state employees ≈ 8.89% (rounded to two decimal places)

So, approximately 8.89% of all employees are employees of the state.