Zinc and copper are melted together in the ratio 9:11. What is the weight of melted mixture, if 27.9kg of zinc is consumed in it?

To solve this problem, we will use the ratio of zinc to copper, which is given as 9:11.

### Step-by-Step Process:

1. **Determine the total ratio**:  
   The total parts of the mixture is the sum of the parts of zinc and copper:
   \[
   9 + 11 = 20 \text{ parts}
   \]

2. **Find the weight of one part**:  
   If 9 parts of the total mixture are zinc, and the weight of zinc is 27.9 kg, then one part of the mixture weighs:
   \[
   \frac{27.9 \text{ kg}}{9} = 3.1 \text{ kg per part}
   \]

3. **Calculate the total weight of the mixture**:  
   Since the entire mixture consists of 20 parts, and each part weighs 3.1 kg, the total weight of the mixture is:
   \[
   20 \times 3.1 = 62 \text{ kg}
   \]

Thus, the total weight of the melted mixture is **62 kg**.

Would you like more details or have any questions? Here are 5 related questions to expand on this topic:

1. How do we calculate the weight of copper used in the mixture?
2. If we have a different zinc-to-copper ratio, how would the calculation change?
3. How much copper is present in the mixture given the current ratio?
4. What happens to the total weight if the ratio is changed to 7:13 for zinc and copper?
5. If we only have 15 kg of copper, how much zinc should we add to maintain the 9:11 ratio?

**Tip:** When dealing with ratios, always determine the total number of parts and find the value of one part to solve proportion problems efficiently.

Learn how to calculate the total weight of a zinc and copper mixture in a 9:11 ratio, given 27.9kg of zinc. This step-by-step solution involves ratios and proportions, making it ideal for students in Grades 6-8.

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