There are 1400 students in a school, 25% of them wear spectacles and `2/7` of them wearing spectacles are boys. How many girls in the school do wear spec tacles?

Options

A. 250
B. 100
C. 200
D. 300

Answer

To solve the problem step by step, we will follow the information given in the question.

### Step 1: Calculate the number of students who wear spectacles.
We know that 25% of the total students wear spectacles.

Total number of students = 1400

To find 25% of 1400:
\[ \text{Number of students wearing spectacles} = \frac{25}{100} \times 1400 = \frac{1}{4} \times 1400 = 350 \]

### Step 2: Determine how many of those wearing spectacles are boys.
We are given that \( \frac{2}{7} \) of the students wearing spectacles are boys.

To find the number of boys wearing spectacles:
\[ \text{Number of boys wearing spectacles} = \frac{2}{7} \times 350 \]

Calculating this:
\[ \frac{2}{7} \times 350 = 2 \times 50 = 100 \]

### Step 3: Calculate the number of girls wearing spectacles.
Since we know the total number of students wearing spectacles and the number of boys wearing spectacles, we can find the number of girls wearing spectacles.

\[ \text{Number of girls wearing spectacles} = \text{Total wearing spectacles} - \text{Boys wearing spectacles} \]
\[ \text{Number of girls wearing spectacles} = 350 - 100 = 250 \]

### Final Answer:
The number of girls in the school who wear spectacles is **250**.

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