Math Problem Statement

ABC Inc. has three divisions: A, B, and C, each with five departments: Production, Marketing, Finance, HR, and Administration. The total number of employees in divisions A, B, and C are in the ratio 9:8:8. The total number of employees in Marketing, Finance, HR, and Administration across all divisions is in the ratio 5:3:2:3. The ratio of male to female employees in ABC Inc. is 3:2. In each division, there are no female employees in the Production department and male and female employees are equal in number in the other departments. The company has a total of 45,000 employees. The number of male employees in the production departments in divisions A, B, and C is in the ratio 4:3:3. Questions: What is the total number of male employees in divisions A and C together?

Options: (a) 15000, (b) 16000, (c) 17000, (d) 18500 The number of female employees in the HR and Marketing departments together in division B is approximately what percentage of the total number of employees in division B?

Options: (a) 24%, (b) 30%, (c) 33%, (d) 28% What is the sum of the total number of female employees in division A and the total number of female employees in division B of company ABC Inc.?

Options: (a) 12100, (b) 13600, (c) 12500, (d) 13200 In how many departments of ABC Inc. is the number of employees, as a percentage of the number of employees in division A, more than 75%?

Options: (a) 1, (b) 0, (c) 2, (d) 3 The total number of male employees in the Production departments and the total number of female employees in HR departments together is approximately what percentage of the total number of employees in the company?

Options: (a) 52%, (b) 50%, (c) 47%, (d) 56% What is the difference between the number of female employees in division A and the number of male employees in division B of company ABC Inc.?

Options: (a) 2600, (b) 2300, (c) 2900, (d) 3200

Solution

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Math Problem Analysis

Mathematical Concepts

Ratios
Proportions
Basic Algebra

Formulas

Total employees in each division: x = 1800
Male and female ratio: 3/5 of total employees
Proportions for male employees in Production department: 4z, 3z, 3z

Theorems

Basic Ratio and Proportion Theorems

Suitable Grade Level

Grades 10-12