Pharmacy

At the pharmacy are in one container 20% solution in the second 50% solution of disinfectant. They need to prepare 4 L of 48-percent solution.

What amount of solution from each container is needed to mix?

Correct result:

x =  0.27 L
y =  3.73 L

Solution:

$$\begin{gathered} x+y=4 \\ 0.2x+0.5y=0.48\cdot 4 \\ y=4-x \\ 0.2x+0.5(4-x)=0.48\cdot 4 \\ x={\displaystyle \frac{0.5-0.48}{0.3}}\cdot 4=0.27\text{ L} \end{gathered}$$

$y=4-x=3.73\text{ L}$

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