During course registration, 28 students enroll in a certain college class. After three boys are dropped from the class, 44% of the class consists of boys. What percent of the original class did girls comprise?

Answer

To solve the problem step by step, we will follow these calculations:

### Step 1: Determine the number of students after dropping boys
Initially, there are 28 students in the class. After dropping 3 boys, the number of students remaining is:
\[ 28 - 3 = 25 \]

### Step 2: Calculate the number of boys in the remaining class
We know that 44% of the remaining 25 students are boys. To find the number of boys, we can use the formula for percentage:
\[ \text{Number of boys} = \frac{\text{Percentage}}{100} \times \text{Total students} \]
Substituting the values:
\[ \text{Number of boys} = \frac{44}{100} \times 25 \]
Calculating this gives:
\[ \text{Number of boys} = 0.44 \times 25 = 11 \]

### Step 3: Find the original number of boys in the class
Since we dropped 3 boys, the original number of boys in the class is:
\[ \text{Original number of boys} = 11 + 3 = 14 \]

### Step 4: Calculate the number of girls in the original class
The total number of students in the original class is 28. Thus, the number of girls can be calculated as:
\[ \text{Number of girls} = \text{Total students} - \text{Number of boys} \]
Substituting the values:
\[ \text{Number of girls} = 28 - 14 = 14 \]

### Step 5: Calculate the percentage of girls in the original class
To find the percentage of girls in the original class, we use the formula:
\[ \text{Percentage of girls} = \left( \frac{\text{Number of girls}}{\text{Total students}} \right) \times 100 \]
Substituting the values:
\[ \text{Percentage of girls} = \left( \frac{14}{28} \right) \times 100 = 50\% \]

### Final Answer
The percentage of the original class that girls comprised is **50%**.

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