Employees

The company employs 1 440 employees (men and women). For over-average results, the premiums were 18.75% of all men and 22.5% of all women. 20% of employees were rewarded with bonuses. How many men and how many women are employed in the company?

Correct answer:

m =  960
z =  480

Step-by-step explanation:


m+z = 1440
0.1875 m + 0.225z = 0.20 · 1440

m+z = 1440
0.1875·m + 0.225·z = 0.20 · 1440

m+z = 1440
0.1875m+0.225z = 288

Row 2 - 0.1875 · Row 1 → Row 2
m+z = 1440
0.04z = 18


z = 18/0.0375 = 480
m = 1440-z = 1440-480 = 960

m = 960
z = 480

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