Three workers

The company rewarded three workers, CZK 9200, and their work divided the money. The first worker gets twice the second, the second three times more than the third. How much money did each worker receive?

Correct answer:

a =  5520
b =  2760
c =  920

Step-by-step explanation:


a+b+c = 9200
a = 2b
b = 3c

a+b+c = 9200
a = 2·b
b = 3·c

a+b+c = 9200
a-2b = 0
b-3c = 0

Row 2 - Row 1 → Row 2
a+b+c = 9200
-3b-c = -9200
b-3c = 0

Row 3 - 1/-3 · Row 2 → Row 3
a+b+c = 9200
-3b-c = -9200
-3.333c = -3066.667


c = -3066.66666667/-3.33333333 = 920
b = -9200+c/-3 = -9200+920/-3 = 2760
a = 9200-b-c = 9200-2760-920 = 5520

a = 5520
b = 2760
c = 920

Our linear equations calculator calculates it.



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