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Chapter 4: Problem 5

Brass is a mixture of copper and zinc in the ratio 8:3. Calculate the weight of zinc in \(20 \mathrm{~kg}\) of brass.

Short Answer

Expert verified
Answer: Approximately 5.45 kg of zinc.

Step by step solution

01

Determine the Total Parts

In the ratio 8:3, there are a total of 8 parts copper and 3 parts zinc. Therefore, there are (8 + 3) = 11 total parts in the mixture.
02

Find the Fraction of Zinc in the Brass

Since there are 3 parts zinc and 11 total parts, the fraction of zinc in the brass is \(\frac{3}{11}\).
03

Calculate the Weight of Zinc in 20 kg of Brass

To find the weight of zinc in 20 kg of brass, multiply the fraction of zinc by the total weight of brass: $$\frac{3}{11} \times 20 \mathrm{~kg} = \frac{60}{11} \mathrm{~kg} \approx 5.45 \mathrm{~kg}$$ So, there are approximately 5.45 kg of zinc in 20 kg of brass.

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