a suger solution was made by mixing g 2 L of a 10% sugar solution and 8 L of a 80% sugar solution.What is the concentration of the mixture 

To solve this, we need to calculate the concentration of the sugar in the final mixture. Here's the step-by-step process:

1. **Find the amount of sugar in each solution:**
   - In the 2 L of 10% solution, the amount of sugar is:
     \[
     \text{Sugar from 10% solution} = 2 \, \text{L} \times 0.10 = 0.2 \, \text{L of sugar}
     \]
   - In the 8 L of 80% solution, the amount of sugar is:
     \[
     \text{Sugar from 80% solution} = 8 \, \text{L} \times 0.80 = 6.4 \, \text{L of sugar}
     \]

2. **Find the total volume of the mixture:**
   \[
   \text{Total volume} = 2 \, \text{L} + 8 \, \text{L} = 10 \, \text{L}
   \]

3. **Find the total amount of sugar:**
   \[
   \text{Total sugar} = 0.2 \, \text{L} + 6.4 \, \text{L} = 6.6 \, \text{L}
   \]

4. **Calculate the concentration of the mixture:**
   \[
   \text{Concentration} = \left( \frac{6.6 \, \text{L}}{10 \, \text{L}} \right) \times 100 = 66\%
   \]

The concentration of the final mixture is **66%**.

Do you want further details or have any questions?

Here are 5 related questions to expand your understanding:
1. How would the concentration change if we used more of the 10% solution?
2. What would happen if we mixed equal volumes of 10% and 80% solutions?
3. How do you calculate the concentration when the volumes of solutions are unknown?
4. Can this method be applied to other types of mixtures, like salt or alcohol solutions?
5. What is the general formula for calculating the concentration of two mixed solutions?

**Tip:** Always keep track of units when working with percentages and volumes in mixture problems.

A sugar solution was made by mixing 2 L of a 10% sugar solution and 8 L of an 80% sugar solution. What is the concentration of the mixture?

Learn how to calculate the concentration of a sugar solution made by mixing 2 L of a 10% sugar solution and 8 L of an 80% sugar solution. This step-by-step guide breaks down the process of finding the total sugar and mixture concentration. Ideal for students in Grades 6-8.

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