Understanding Mixture Ratios

The question involves a mixture with a given total volume and a specific ratio between its components (juice and water). The ratio of juice to water is given as $3:2$. This means that for every 3 parts of juice, there are 2 parts of water in the mixture.

To find the total number of parts in the ratio, we add the individual parts:

Total parts = (Parts of Juice) + (Parts of Water) = $3 + 2 = 5$ parts.

Calculating Juice Amount

The total volume of the mixture is given as 20 Liters (L).

We know that these 5 total parts make up the entire 20 L mixture. We can determine the volume represented by one part:

Volume of one part = $\frac{\text{Total Volume}}{\text{Total Parts}} = \frac{20 \text{ L}}{5 \text{ parts}} = 4 \text{ L/part}$.

Now, we can calculate the specific amount of juice in the mixture. Since the ratio indicates 3 parts of juice:

Amount of Juice = (Parts of Juice) $\times$ (Volume of one part)

Amount of Juice = $3 \text{ parts} \times 4 \text{ L/part} = 12 \text{ L}$.

Similarly, we can find the amount of water:

Amount of Water = (Parts of Water) $\times$ (Volume of one part)

Amount of Water = $2 \text{ parts} \times 4 \text{ L/part} = 8 \text{ L}$.

To verify, the total volume is $12 \text{ L} + 8 \text{ L} = 20 \text{ L}$, which matches the given total volume.

Final Answer Explanation

Based on the calculation, the amount of juice in the 20 L mixture is 12 L.