On a rainy day, 94% of the students were present in a school. If the number of students absent on that day was 174, find the total strength of the school.

Answer

To find the total strength of the school based on the information provided, we can follow these steps:

### Step 1: Understand the problem
We know that 94% of the students were present, which means that 6% of the students were absent. The number of students absent is given as 174.

### Step 2: Set up the equation
Let the total strength of the school be represented by \( x \). Since 6% of the total students are absent, we can express this as:
\[ 6\% \text{ of } x = 174 \]

### Step 3: Convert percentage to decimal
We can convert 6% to a decimal for easier calculations:
\[ 6\% = \frac{6}{100} = 0.06 \]

### Step 4: Set up the equation using the decimal
Now we can write the equation:
\[ 0.06x = 174 \]

### Step 5: Solve for \( x \)
To find \( x \), we will divide both sides of the equation by 0.06:
\[ x = \frac{174}{0.06} \]

### Step 6: Calculate the division
Now, we can perform the division:
\[ x = 174 \div 0.06 \]
To make the division easier, we can multiply the numerator and the denominator by 100:
\[ x = \frac{174 \times 100}{6} \]
\[ x = \frac{17400}{6} \]
Now, divide 17400 by 6:
\[ x = 2900 \]

### Conclusion
The total strength of the school is \( 2900 \).

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