Alcohol from potatoes

In the distillery, 10 hl of alcohol can make from 8 t of potatoes. The rectangular field with dimensions of 600 m and 200 m had a yield of 20 t of potatoes per hectare. How many square meters of area are potatoes grown to obtain one liter of alcohol?

Correct result:

x =  4 m2

Solution:

$v=20 \ \text{t/ha} \ \\ v_{2}=v \cdot \ 1000/10000=20 \cdot \ 1000/10000=2 \ \text{kg/m}^2 \ \\ \ \\ l=10/8=\dfrac{ 5 }{ 4 }=1.25 \ \text{hl/t} \ \\ l_{2}=l \cdot \ 100/1000=1.25 \cdot \ 100/1000=\dfrac{ 1 }{ 8 }=0.125 \ \text{l/kg} \ \\ \ \\ V=1 \ \text{l} \ \\ m=V/l_{2}=1/0.125=8 \ \text{kg} \ \\ \ \\ x=m/v_{2}=8/2=4 \ \text{m}^2$

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