Three workers

The three workers received € 2,850 together for the work done. They divided them according to the time worked so that the first received 20% less than the second and the third € 50 more than the second. How much EUR did each worker receive?

Correct answer:

a =  800
b =  1000
c =  1050

Step-by-step explanation:


a+b+c= 2850
a= b-0.20b
c = 50+b

a+b+c= 2850
a= b-0.20·b
c = 50+b

a+b+c = 2850
a-0.8b = 0
b-c = -50

Row 2 - Row 1 → Row 2
a+b+c = 2850
-1.8b-c = -2850
b-c = -50

Row 3 - 1/-1.8 · Row 2 → Row 3
a+b+c = 2850
-1.8b-c = -2850
-1.556c = -1633.333


c = -1633.33333333/-1.55555556 = 1050
b = -2850+c/-1.8 = -2850+1050/-1.8 = 1000
a = 2850-b-c = 2850-1000-1050 = 800

a = 800
b = 1000
c = 1050

Our linear equations calculator calculates it.



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