Together - parents

Pavel received half as much money from his parents as Petr and Milan half as much as Pavel. How much did all the boys get together? The parents gave Milan CZK 1,350.

Final Answer:

x =  2850 CZK

Step-by-step explanation:

$$\begin{gathered} M=1350\text{CZK} \\ x=A+P+M \\ A=P+P/2 \\ M=A+A/2=3/2A \\ A=\frac{2}{3}\cdot M=\frac{2}{3}\cdot 1350=\frac{2\cdot 1350}{3}=\frac{2700}{3}=900\text{CZK} \\ P=\frac{2}{3}\cdot A=\frac{2}{3}\cdot 900=\frac{2\cdot 900}{3}=\frac{1800}{3}=600\text{CZK} \\ x=A+P+M=900+600+1350=2850\text{CZK} \end{gathered}$$

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