The ratio of Copper and Zinc in an alloy is `5:3` .If the weight of Copper in the alloy is 30.5 g, then find the weight of Zinc in the alloy .

Options

A. 20 . 5 g
B. 20 . 8 g
C. 15 . 8 g
D. 18 . 3 g

Answer

To solve the problem, we need to find the weight of Zinc in the alloy given the ratio of Copper to Zinc and the weight of Copper.

### Step-by-Step Solution:

1. **Understand the Ratio**:
The ratio of Copper to Zinc is given as 5:3. This means that for every 5 parts of Copper, there are 3 parts of Zinc.

2. **Define the Parts**:
Let the weight of Copper be represented as \( 5x \) and the weight of Zinc as \( 3x \), where \( x \) is a common multiplier.

3. **Set Up the Equation**:
We know the weight of Copper is 30.5 grams. Therefore, we can set up the equation:
\[ 5x = 30.5 \]

4. **Solve for \( x \)**:
To find \( x \), divide both sides of the equation by 5:
\[ x = \frac{30.5}{5} = 6.1 \]

5. **Calculate the Weight of Zinc**:
Now that we have \( x \), we can find the weight of Zinc:
\[ \text{Weight of Zinc} = 3x = 3 \times 6.1 = 18.3 \text{ grams} \]

6. **Final Answer**:
The weight of Zinc in the alloy is 18.3 grams.