Two-kilogram bread

Farmers harvested 3,000 kg of rye from one hectare, from which they obtained 2,500 kg of flour. From 3 kg of flour, 4 kg of bread can be made. Calculate how many m² of land were needed to grow the rye required for one 2-kilogram loaf of bread.

Final Answer:

S =  6 m²

Step-by-step explanation:

$$\begin{gathered} S_1=1\text{ha}\to {\text{m}}^2=1\cdot 10000{\text{m}}^2=10000{\text{m}}^2 \\ {m}_1=2500\text{kg} \\ {m}_2=3\text{kg} \\ {m}_3=4\text{kg} \\ {m}_5=2\text{kg} \\ {r}_1=\frac{m_1}{S_1}=\frac{2500}{10000}=\frac{1}{4}=0.25{\text{kg/m}}^2 \\ {r}_2=\frac{m_3}{m_2}=\frac{4}{3}\doteq 1.3333 \\ r=r_1\cdot r_2=0.25\cdot 1.3333=\frac{1}{3}\doteq 0.3333{\text{kg/m}}^2 \\ {m}_5=S\cdot r \\ S=m_5/r=2/0.3333=6{\text{m}}^2 \end{gathered}$$

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