Final answer:
The factory has 12 managers, which is found by subtracting the total pay for the line workers from the total daily pay and then dividing by the manager's daily earnings.
Step-by-step explanation:
The student has asked a mathematics question about determining the number of managers in a factory based on the daily wages of line workers and managers. The problem can be solved using a system of linear equations. There are 70 line workers earning $85 per day, and the total daily pay for all employees is $7,390. Let m represent the number of managers. The equation representing the total daily pay is:70 × 85 + 120 × m = 7,390.First, calculate the total pay for all line workers:70 × 85 = $5,950Now, subtract this amount from the total daily pay to find the total pay for managers:7,390 - 5,950 = $1,440Finally, divide the total pay for managers by the amount each manager earns per day to find the number of managers:1,440 ÷ 120 = 12 managers.
So, there are 12 managers in the factory.The student has asked a mathematics question about determining the number of managers in a factory based on the daily wages of line workers and managers. The problem can be solved using a system of linear equations. There are 70 line workers earning $85 per day, and the total daily pay for all employees is $7,390. Let m represent the number of managers. The equation representing the total daily pay is:70 × 85 + 120 × m = 7,390.First, calculate the total pay for all line workers:70 × 85 = $5,950Now, subtract this amount from the total daily pay to find the total pay for managers:7,390 - 5,950 = $1,440Finally, divide the total pay for managers by the amount each manager earns per day to find the number of managers:1,440 ÷ 120 = 12 managers.So, there are 12 managers in the factory.