Directions for questions : Fill in the blanks.
In a pictograph, if 1 picture = 25 boys, then 175 boys are represented by ___ pictures.

Answer

To solve the problem, we need to determine how many pictures are required to represent 175 boys, given that 1 picture represents 25 boys. We can use a simple unitary method to find the answer.

### Step-by-Step Solution:

1. **Understand the Representation**: We know that 1 picture represents 25 boys. This means that if we have more boys, we will need more pictures.

2. **Set Up the Equation**: We need to find out how many pictures (let's call it \( x \)) are needed for 175 boys. We can set up the equation based on the information given:
\[ 1 \text{ picture} = 25 \text{ boys} \]
\[ x \text{ pictures} = 175 \text{ boys} \]

3. **Use the Unitary Method**: To find out how many pictures are needed for 175 boys, we can use the unitary method. First, we find out how many boys are represented by one picture:
\[ \text{For 1 picture} = 25 \text{ boys} \]
To find out how many pictures are needed for 1 boy, we calculate:
\[ \text{For 1 boy} = \frac{1}{25} \text{ pictures} \]

4. **Calculate for 175 Boys**: Now, we can find out how many pictures are needed for 175 boys by multiplying the number of pictures for 1 boy by 175:
\[ \text{Pictures for 175 boys} = 175 \times \frac{1}{25} \]

5. **Perform the Calculation**: Now, we simplify the calculation:
\[ \text{Pictures for 175 boys} = \frac{175}{25} \]
Now, we can divide 175 by 25:
\[ 175 \div 25 = 7 \]

6. **Conclusion**: Therefore, 175 boys are represented by **7 pictures**.

### Final Answer:
175 boys are represented by **7 pictures**.