Barrel bucket kettle

The internal volume of the barrel is 15 times greater than the bucket's volume.
The volume of the bucket is 5 times the volume of the kettle.
We took a third of the water from a barrel, leaving 60 liters in it.
Calculate the volume of the kettle in liters.

Final Answer:

V₃ =  1.2 l

Step-by-step explanation:

$$\begin{gathered} V_1=15V_2 \\ {V}_2=5V_3 \\ {V}_1-V_1/3=60 \\ 2V_1=180 \\ {V}_1=\frac{180}{2}=90 \\ {V}_1=90 \\ {V}_2=V_1/15=90/15=6\text{l} \\ {V}_3=V_2/5=6/5=\frac{6}{5}\text{l}=1.2\text{l} \end{gathered}$$

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