Three glasses

Three glasses of different colors have different volumes. Red 1.5 liter is filled from 2/5, blue 3/4 liter is filled from 1/3, and the third green 1.2 liter is empty. Pour green glass 1/4 of the contents from the red glass and 2/5 of the contents from the blue one. Express a fraction of how much the green glass is filled with.

Correct answer:

z =  5/24

Step-by-step explanation:

$$\begin{gathered} C=1.5\text{l} \\ M=3/4=\frac{3}{4}=0.75\text{l} \\ Z=1.2\text{l} \\ V=C\cdot \frac{2}{5}\cdot \frac{1}{4}+M\cdot \frac{1}{3}\cdot \frac{2}{5}=1.5\cdot \frac{2}{5}\cdot \frac{1}{4}+0.75\cdot \frac{1}{3}\cdot \frac{2}{5}=\frac{1}{4}=0.25\text{l} \\ z=\frac{V}{Z}=\frac{0.25}{1.2}=\frac{5}{24}=0.2083 \end{gathered}$$

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