Three workshops

There are 2743 people working in three workshops. In the second workshop works 140 people more than in the first and in third works 4.2 times more than the second one. How many people work in each workshop?

Correct answer:

a =  325
b =  465
c =  1953

Step-by-step explanation:


a+b+c=2743
b = 140 + a
c = 4.2 · b

a+b+c = 2743
a-b = -140
4.2b-c = 0

Row 2 - Row 1 → Row 2
a+b+c = 2743
-2b-c = -2883
4.2b-c = 0

Pivot: Row 2 ↔ Row 3
a+b+c = 2743
4.2b-c = 0
-2b-c = -2883

Row 3 - -2/4.2 · Row 2 → Row 3
a+b+c = 2743
4.2b-c = 0
-1.476c = -2883


c = -2883/-1.47619048 = 1953
b = 0+c/4.2 = 0+1953/4.2 = 465
a = 2743-b-c = 2743-465-1953 = 325

a = 325
b = 465
c = 1953

Our linear equations calculator calculates it.



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