Worker reward division

The reward of CZK 4,220 was divided among 3 workers in such a way that the second received CZK 400 more than the first, and the third received 30% more than the second. How much did each get?

Final Answer:

a =  1000 Kc
b =  1400 Kc
c =  1820 Kc

Step-by-step explanation:

$$\begin{gathered} s=4220\text{Kc} \\ r=100\%+30\%=1+\frac{30}{100}=1.3 \\ b=400+a \\ c=r\cdot b=r\cdot (400+a) \\ a+b+c=s \\ a+(400+a)+r\cdot (400+a)=s \\ a+(400+a)+1.3\cdot (400+a)=4220 \\ 3.3a=3300 \\ a=\frac{3300}{3.3}=1000 \\ a=1000=1000\text{Kc} \end{gathered}$$

$b=400+a=400+1000=1400\text{Kc}$

$c=r\cdot b=1.3\cdot 1400=1820\text{Kc}$

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