Natural fertilizer

The rectangular garden measuring 120m and 60m was fertilized with 16kg of natural fertilizer. Natural fertilizer contains 45% organic matter. How much organic matter falls on 1 m² of garden?

Correct result:

x =  1 g

Solution:

$$\begin{gathered} a=120\text{ m } \\ b=60\text{ g } \\ m=16\text{ kg } \\ q=45\mathrm{\%}={\displaystyle \frac{45}{100}}=0.45 \\ S=a\cdot b=120\cdot 60=7200{\text{m}}^2 \\ {m}_2=q\cdot m=0.45\cdot 16={\displaystyle \frac{36}{5}}=7.2\text{ kg } \\ {m}_3=m^2\to \text{ g}=m^2\cdot 1000\text{ g}=7.2\cdot 1000\text{ g}=7200\text{ g } \\ x=m_3\mathrm{/}S=7200\mathrm{/}7200=1\text{ g} \end{gathered}$$

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