Employees 4901

Of the total number of men, 16% received a bonus, of the total. The number of women received 21%. The company has 1,500 employees, and 18% were awarded bonuses.
How many women work in the company?
How many men received bonuses?
How many company employees were not rewarded?

Correct answer:

z =  600
m₁ =  144
m₂ =  1230

Step-by-step explanation:

m+z = 1500
0.16m + 0.21z = 0.18·1500

m+z = 1500
0.16·m + 0.21·z = 0.18·1500

m+z = 1500
0.16m+0.21z = 270

Row 2 - 0.16000000000003 · Row 1 → Row 2
m+z = 1500
0.05z = 30


z = 30/0.05 = 600
m = 1500-z = 1500-600 = 900

m = 900
z = 600

Our linear equations calculator calculates it.

$m_1=0.16\cdot m=0.16\cdot 900=144$

$m_2=1500\cdot (1-0.18)=1230$

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