Reward

Three workers shared a common reward of 13110 CZK: the first worker got 35% less than the second, and the third worker got 20% more than the second worker. How much got each worker?

Correct answer:

a =  2990
b =  4600
c =  5520

Step-by-step explanation:


a+b+c=13110
a=b-0.35b
c=b+0.20b

a+b+c=13110
a=b-0.35·b
c=b+0.20·b

a+b+c = 13110
a-0.65b = 0
1.2b-c = 0

Row 2 - Row 1 → Row 2
a+b+c = 13110
-1.65b-c = -13110
1.2b-c = 0

Row 3 - 1.2/-1.65 · Row 2 → Row 3
a+b+c = 13110
-1.65b-c = -13110
-1.727c = -9534.545


c = -9534.54545455/-1.72727273 = 5520
b = -13110+c/-1.65 = -13110+5520/-1.65 = 4600
a = 13110-b-c = 13110-4600-5520 = 2990

a = 2990
b = 4600
c = 5520

Our linear equations calculator calculates it.



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