A chemist has two alloys of bronze, one that is 13% tin and 87% copper, and a second that is 9% tin and 91% copper. If these two alloys are melted and thoroughly mixed together, between what two values is the percent of tin in the mixture?


smaller percentage

      %

larger percentage

      %

To solve this, let's define two things:

1. **First alloy:** It contains 13% tin and 87% copper.
2. **Second alloy:** It contains 9% tin and 91% copper.

When these two alloys are melted and mixed together, the percentage of tin in the mixture must be somewhere between the percentage of tin in each of the two original alloys.

- The **smallest percentage** of tin will come from the alloy with the lower tin content, which is 9%.
- The **largest percentage** of tin will come from the alloy with the higher tin content, which is 13%.

Therefore, the tin content in the mixture will lie between **9% and 13%**.

- **Smaller percentage:** 9%
- **Larger percentage:** 13%

Do you want to go into details about how to mix the alloys, or have any further questions? 

### Related questions:
1. How would the percentage of tin change if the alloys were mixed in different ratios?
2. What happens to the copper percentage when these alloys are mixed?
3. How does the overall weight of the mixture affect the percentages?
4. Can we determine the exact percentage of tin in the mixture with specific amounts of each alloy?
5. How does the composition affect the mechanical properties of the resulting bronze?

### Tip:
Always remember, when mixing two solutions or alloys, the resulting percentage of any component will lie between the percentages of that component in the original mixtures.

A chemist has two alloys of bronze, one that is 13% tin and 87% copper, and a second that is 9% tin and 91% copper. If these two alloys are melted and thoroughly mixed together, between what two values is the percent of tin in the mixture?

Explore how to determine the percent of tin in a mixture of two bronze alloys. One alloy contains 13% tin, while the other contains 9%. Learn how to calculate the tin percentage range in the mixture using key concepts such as percentage calculations and mixture problems, suitable for Grades 6-8.

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