Six-fifteenths 80487

Hermione Granger prepares an anti-boredom potion. She read in the recipe that the brew volume is two-ninths of liquid toad poison, six-fifteenths of mandrake nectar, and the rest is 34 milliliters of water. How many milliliters of Potion will Hermione make using this recipe?

Correct answer:

V =  90 ml

Step-by-step explanation:

$$\begin{gathered} \frac{2}{9}\cdot V+\frac{6}{15}\cdot V+34=V \\ 2/9\cdot V+6/15\cdot V+34=V \\ 17V=1530 \\ V=\frac{1530}{17}=90 \\ V=90=90\text{ml} \end{gathered}$$

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