In a class, there are 20 boys and 15 girls. What percentage of the number of boys is to the number of girls?

Answer

To solve the problem of finding what percentage the number of boys is to the number of girls in a class with 20 boys and 15 girls, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Numbers**:
- Number of boys = 20
- Number of girls = 15

2. **Set Up the Ratio**:
- We need to find the ratio of the number of boys to the number of girls. This can be expressed as:
\[ \text{Ratio} = \frac{\text{Number of boys}}{\text{Number of girls}} = \frac{20}{15} \]

3. **Simplify the Ratio**:
- To simplify the ratio, we can divide both the numerator and the denominator by their greatest common divisor (GCD), which is 5:
\[ \frac{20 \div 5}{15 \div 5} = \frac{4}{3} \]

4. **Convert the Ratio to Percentage**:
- To find what percentage the number of boys is to the number of girls, we can use the formula:
\[ \text{Percentage} = \left( \frac{\text{Number of boys}}{\text{Number of girls}} \right) \times 100 \]
- Substituting the values:
\[ \text{Percentage} = \left( \frac{20}{15} \right) \times 100 \]

5. **Calculate the Percentage**:
- First, calculate \( \frac{20}{15} \):
\[ \frac{20}{15} = \frac{4}{3} \approx 1.3333 \]
- Now multiply by 100:
\[ 1.3333 \times 100 = 133.33 \]

6. **Final Answer**:
- Therefore, the percentage of the number of boys to the number of girls is approximately **133.33%**.