20% of 20 is equal to 50% of what number ?

Options

A. 2
B. 4
C. 8
D. 10

Answer

To solve the problem "20% of 20 is equal to 50% of what number?", we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Problem**: We need to find a number \( x \) such that 20% of 20 is equal to 50% of \( x \).

2. **Set Up the Equation**:
\[ 20\% \text{ of } 20 = 50\% \text{ of } x \]
This can be written mathematically as:
\[ \frac{20}{100} \times 20 = \frac{50}{100} \times x \]

3. **Calculate 20% of 20**:
\[ \frac{20}{100} \times 20 = \frac{20 \times 20}{100} = \frac{400}{100} = 4 \]

4. **Set Up the Equation with the Calculated Value**:
Now we can substitute the value we found into the equation:
\[ 4 = \frac{50}{100} \times x \]

5. **Simplify 50% of \( x \)**:
\[ \frac{50}{100} \times x = \frac{1}{2} \times x \]
So we have:
\[ 4 = \frac{1}{2} x \]

6. **Solve for \( x \)**:
To isolate \( x \), multiply both sides by 2:
\[ x = 4 \times 2 = 8 \]

7. **Conclusion**: The number \( x \) is 8. Therefore, 20% of 20 is equal to 50% of 8.

### Final Answer:
The answer is \( x = 8 \).

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