# 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?

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.

Did you find an error or inaccuracy? Feel free to write us. Thank you!

Tips for related online calculators
Need help calculating sum, simplifying, or multiplying fractions? Try our fraction calculator.
Our percentage calculator will help you quickly calculate various typical tasks with percentages.
Do you have a system of equations and looking for calculator system of linear equations?