Employees

1116 people are working in three factory halls. In the first one, 18% more than the third, and 60 persons more than the second. How many employees work in individual halls?

Correct answer:

a =  413
b =  353
c =  350

Step-by-step explanation:


a+b+c=1116
a = 1.18 · c
a = 60+b

a+b+c = 1116
a-1.18c = 0
a-b = 60

Row 2 - Row 1 → Row 2
a+b+c = 1116
-b-2.18c = -1116
a-b = 60

Row 3 - Row 1 → Row 3
a+b+c = 1116
-b-2.18c = -1116
-2b-c = -1056

Pivot: Row 2 ↔ Row 3
a+b+c = 1116
-2b-c = -1056
-b-2.18c = -1116

Row 3 - -1/-2 · Row 2 → Row 3
a+b+c = 1116
-2b-c = -1056
-1.68c = -588


c = -588/-1.68 = 350
b = -1056+c/-2 = -1056+350/-2 = 353
a = 1116-b-c = 1116-353-350 = 413

a = 413
b = 353
c = 350

Our linear equations calculator calculates it.



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