Bhairon Singh makes statues of brass. Brass is an alloy of copper and zinc. Bhairon uses two varieties of brass for different kinds of statues. Variety 1 contains copper and zinc in the ratio 8:5 and variety 2 contains copper and zinc in the ratio 1/6 : 1/9. Bhairon uses variety 1 to make the statue of the king and variety 2 to make the statue of the queen contained 90 kg of zinc.

(5) Find the quantity of copper present in the brass used to make the statue of the king.

We are asked to find the quantity of copper present in the brass used to make the statue of the king. Bhairon Singh uses variety 1 for this statue, where copper and zinc are mixed in a ratio of 8:5.

Let’s assume the total quantity of brass used to make the king's statue is \( x \, \text{kg} \).

### Step 1: Define the ratio of copper and zinc in variety 1
In variety 1, copper and zinc are present in the ratio 8:5. This means:

\[
\frac{\text{Copper}}{\text{Zinc}} = \frac{8}{5}
\]

From this, we can calculate the proportion of copper and zinc in the brass.

- Copper fraction in variety 1: 
\[
\frac{8}{8 + 5} = \frac{8}{13}
\]
- Zinc fraction in variety 1:
\[
\frac{5}{13}
\]

### Step 2: Zinc quantity used for the statue of the queen (given)
We are given that the statue of the queen contains 90 kg of zinc, but no information directly relates this zinc amount to the king's statue, which uses variety 1. 

Since the direct relationship between the king and queen’s statue isn’t provided, and the problem doesn't link them quantitatively, we need more data to proceed with this question as posed. If the quantity of brass used for the king’s statue was given or linked to the queen’s zinc, we could move forward.

Would you like to clarify the connection or adjust the information?

Bhairon Singh makes statues of brass. Brass is an alloy of copper and zinc. Bhairon uses two varieties of brass for different kinds of statues. Variety 1 contains copper and zinc in the ratio 8:5 and variety 2 contains copper and zinc in the ratio 1/6 : 1/9. Bhairon uses variety 1 to make the statue of the king and variety 2 to make the statue of the queen contained 90 kg of zinc. Find the quantity of copper present in the brass used to make the statue of the king.

Solve the problem of finding the quantity of copper in a brass alloy used to make a king's statue. This problem uses ratios and proportions in alloy mixtures, focusing on the copper and zinc distribution in the alloy. Suitable for students in Grades 9-11.

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