Potato warehouses

The company Vysočina has two potato warehouses. In the first warehouse there are three times more potatoes than in the second. From the first warehouse, half of the stored amount of potatoes was taken away, and there remained 90 tonnes of potatoes more than in the second warehouse.
a) Calculate in tonnes how many potatoes the company Vysočina has stored in the second potato warehouse.
b) Calculate in tonnes how many potatoes were taken away from the first warehouse.

Final Answer:

b =  180 t
x =  270 t

Step-by-step explanation:

$$\begin{gathered} a=3b \\ a-a/2=b+90 \\ a=3\cdot b \\ a-3b=0 \\ a-2b=180 \\ Row2-Row1\to Row2 \\ b=180=180\text{t} \\ a=0+3b=0+3\cdot 180=540 \\ a=540 \end{gathered}$$

$x=a/2=540/2=270\text{t}$

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