Contains 5779

Juice contains 20% sugar, and apple juice contains 30% sugar. How much percent of sugar will be contained in a mixture of two liters of juice and three liters of apple juice?

Correct answer:

p =  26 %

Step-by-step explanation:

$$\begin{gathered} V_1=2\text{l} \\ {V}_2=3\text{l} \\ {p}_1=20/100=\frac{1}{5}=0.2 \\ {p}_2=30/100=\frac{3}{10}=0.3 \\ p=100\cdot (p_1\cdot V_1+p_2\cdot V_2)/(V_1+V_2)=100\cdot (0.2\cdot 2+0.3\cdot 3)/(2+3)=26\% \end{gathered}$$

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