[ Mixture and Concentration Problems ]

There are two containers with a capacity of 1 liter and 2 liters. From their contents, 0.5 liters of a mixture containing $40\%$ apple juice and 2.5 liters of a mixture containing $88\%$ apple juice were prepared. What is the percentage content of apple juice in the containers?

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It is clear that in at least one of the vessels, the juice content does not exceed $40 \%$. Under this condition, the maximum amount of juice in 2.5 liters will be if we mix half a liter of 40-percent juice with two liters of pure juice. In this and only this case, in 2.5 liters, there will be $0.5 \cdot 0.4 + 2 = 2.2$ liters of apple juice, which is exactly $88 \%$. Thus, in the 1-liter vessel, there is $40 \%$ juice, and in the two-liter vessel, there is pure apple juice.

## Answer

In the smaller one $-40 \%$, in the larger one $-100 \%$.