In a school 55% of the students are girls. If numbers of boys is 360, then what is the total numbers of students in the school?

Options

A. 720
B. 800
C. 1000
D. 1200

Answer

To find the total number of students in the school, we can follow these steps:

### Step 1: Understand the percentages
We know that 55% of the students are girls. Therefore, the percentage of boys in the school is:
\[ 100\% - 55\% = 45\% \]

### Step 2: Set up the equation
Let the total number of students in the school be \( x \). According to the problem, 45% of the total students is equal to the number of boys, which is 360. We can write this as:
\[ 0.45x = 360 \]

### Step 3: Solve for \( x \)
To find \( x \), we can rearrange the equation:
\[ x = \frac{360}{0.45} \]

### Step 4: Calculate \( x \)
Now, we perform the division:
\[ x = \frac{360}{0.45} = 360 \div 0.45 \]

To make the division easier, we can multiply both the numerator and the denominator by 100:
\[ x = \frac{360 \times 100}{45} = \frac{36000}{45} \]

Now, we can simplify:
\[ x = 800 \]

### Conclusion
The total number of students in the school is \( 800 \).

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