Together - parents

Paul received half as much money from his parents as Peter and Milo half as much as Paul. How much did all the boys get together? The parents gave Milo 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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