25% of the students in a school are in the Arts faculty.If 175 students are in Arts faculty, find the number of students in the school.

1. ### Break Down the Problem

We know that:

• 25% of the students are in the Arts faculty.
• There are 175 students in the Arts faculty.

Our goal is to find the total number of students in the school.

2. ### Relevant Concepts

To find the total number of students, we can use the formula for percentage: $\text{Percentage} = \frac{\text{Part}}{\text{Whole}} \times 100$ Rearranging the formula to find the whole, we get: $\text{Whole} = \frac{\text{Part}}{\text{Percentage}} \times 100$

3. ### Analysis and Detail

Here, the "Part" is the number of students in the Arts faculty (175), and the "Percentage" is 25%.

Substituting the values into the formula: $\text{Whole} = \frac{175}{25} \times 100$

4. ### Verify and Summarize

Now, we perform the calculation: $\text{Whole} = \frac{175}{25} \times 100 = 7 \times 100 = 700$

Final Answer

The total number of students in the school is 700.