Vinegar mixing

We mix 70g water and 50g 8% vinegar. How many percents of the solution of vinegar we produce?

Correct answer:

p =  3.3333 %

Step-by-step explanation:

$$\begin{gathered} m_1=70\text{ g } \\ {m}_2=50\text{ g } \\ v=0.08\cdot m_2=0.08\cdot 50=4\text{ g } \\ p=100\cdot {\displaystyle \frac{v}{m_1+m_2}}=100\cdot {\displaystyle \frac{4}{70+50}}={\displaystyle \frac{10}{3}}\mathrm{\%}=3.3333\mathrm{\%} \end{gathered}$$

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