A metal oxide contains 53% metal and carbon dioxide contains 27% carbon. Assuming the law of reciprocal proportions, the percentage of metal in the metal carbide is

Options

A. 75
B. 25
C. 37
D. 66

Explanation

To solve the problem, we will follow these steps:

### Step 1: Understand the Composition of Metal Oxide
We know that a metal oxide contains 53% metal (M) and 47% oxygen (O). We can represent the metal oxide as \( MO \), where \( M \) is the metal and \( O \) is oxygen.

### Step 2: Calculate the Ratio of Metal to Oxygen in Metal Oxide
From the given percentages, we can calculate the ratio of metal to oxygen in the metal oxide:
- Percentage of metal (M) = 53%
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