an alcohol solution was made by mixing 9ml of a 32% alcohol solution and 3 ml of a 44% alcohol solution.Find the connection of the new mixture 

To find the concentration of alcohol in the new mixture, you need to determine how much alcohol is in each solution, add those amounts together, and then divide by the total volume of the new solution.

1. **Amount of alcohol in 9 ml of 32% solution:**

\[
\text{Alcohol from 32% solution} = 9 \, \text{ml} \times \frac{32}{100} = 2.88 \, \text{ml}
\]

2. **Amount of alcohol in 3 ml of 44% solution:**

\[
\text{Alcohol from 44% solution} = 3 \, \text{ml} \times \frac{44}{100} = 1.32 \, \text{ml}
\]

3. **Total amount of alcohol in the new mixture:**

\[
\text{Total alcohol} = 2.88 \, \text{ml} + 1.32 \, \text{ml} = 4.2 \, \text{ml}
\]

4. **Total volume of the new mixture:**

\[
\text{Total volume} = 9 \, \text{ml} + 3 \, \text{ml} = 12 \, \text{ml}
\]

5. **Concentration of the new mixture:**

\[
\text{Concentration} = \frac{4.2 \, \text{ml}}{12 \, \text{ml}} \times 100 = 35\%
\]

So, the concentration of the new mixture is **35%**.

Would you like more details on this calculation or have any questions?

Here are some related questions:
1. How does the concentration change if we mix different volumes of solutions?
2. What happens if the second solution was 50% alcohol instead?
3. How do we calculate the total volume of two liquids in practice?
4. What would the concentration be if we added water to dilute the solution further?
5. How do different concentrations affect the properties of solutions?

**Tip:** When mixing solutions, always keep track of the total volume and individual alcohol contributions to get accurate concentrations.

An alcohol solution was made by mixing 9ml of a 32% alcohol solution and 3ml of a 44% alcohol solution. Find the concentration of the new mixture.

Learn how to calculate the concentration of a new alcohol mixture created by combining 9ml of a 32% alcohol solution with 3ml of a 44% alcohol solution. This step-by-step guide is suitable for students in Grades 8-10 and covers essential concepts like percentage and mixture problems.

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