1. **Problem Statement:** We have a brass alloy made by mixing copper and zinc in the ratio 8:2. We want to find how many kilograms of copper are in 2 kg of this brass. 2. **Understanding the Ratio:** The ratio 8:2 means for every 8 parts of copper, there are 2 parts of zinc. 3. **Total Parts:** Total parts = 8 + 2 = 10 parts. 4. **Copper Fraction:** The fraction of copper in the alloy is \frac{8}{10}. 5. **Calculate Copper Mass:** Copper mass = total mass \times copper fraction = 2 \times \frac{8}{10}. 6. **Simplify:** $$2 \times \frac{8}{10} = \frac{16}{10} = 1.6$$ 7. **Answer:** There are 1.6 kilograms of copper in 2 kilograms of brass alloy mixed in the ratio 8:2.