Natural fertilizer

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

Correct answer:

x =  1 g

Step-by-step explanation:

$$\begin{gathered} a=120\text{m} \\ b=60\text{m} \\ m=16\text{kg} \\ q=45\%=\frac{45}{100}=\frac{9}{20}=0.45 \\ S=a\cdot b=120\cdot 60=7200{\text{m}}^2 \\ {m}_2=q\cdot m=0.45\cdot 16=\frac{36}{5}=7.2\text{kg} \\ {m}_3=m^2\to \text{g}=m^2\cdot 1000\text{g}=7.2\cdot 1000\text{g}=7200\text{g} \\ x=m_3/S=7200/7200=1\text{g} \end{gathered}$$

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