Fertilizer

I have 4 liters of 10% fertilizer. How much water do I need to add to have a 2% solution?

Correct answer:

V₂ =  16 l

Step-by-step explanation:

$$\begin{gathered} V_1=4\text{ l } \\ {p}_1=10\mathrm{\%}={\displaystyle \frac{10}{100}}=0.1 \\ p=2\mathrm{\%}={\displaystyle \frac{2}{100}}=0.02 \\ {V}_1\cdot p_1=(V_1+V_2)\cdot p \\ 4\cdot 0.1=(4+V_2)\cdot 0.02 \\ 0.02V_2=0.32 \\ {V}_2=16=16\text{ l} \end{gathered}$$

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