The ratio of the number of girls to that of boys in a school is `9: 11.` If the number of boys in the school is 2035, find :
the number of students in the school.

Answer

To solve the problem step by step, we can follow these instructions:

### Step 1: Understand the Ratio
The ratio of girls to boys is given as 9:11. This means for every 9 girls, there are 11 boys.

### Step 2: Define Variables
Let the common multiplier be represented by \( x \). Therefore, we can express the number of girls and boys as:
- Number of girls = \( 9x \)
- Number of boys = \( 11x \)

### Step 3: Set Up the Equation
We know from the problem that the number of boys in the school is 2035. Therefore, we can set up the equation:
\[ 11x = 2035 \]

### Step 4: Solve for \( x \)
To find \( x \), we need to divide both sides of the equation by 11:
\[ x = \frac{2035}{11} \]
Calculating this gives:
\[ x = 185 \]

### Step 5: Calculate the Number of Girls
Now that we have the value of \( x \), we can find the number of girls:
\[ \text{Number of girls} = 9x = 9 \times 185 = 1665 \]

### Step 6: Calculate the Total Number of Students
To find the total number of students in the school, we add the number of girls and boys together:
\[ \text{Total students} = \text{Number of girls} + \text{Number of boys} \]
Substituting the values we have:
\[ \text{Total students} = 1665 + 2035 = 3700 \]

### Final Answer
The total number of students in the school is **3700**.

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