Let's solve the problem step-by-step.
### Step-by-Step Solution:
1. Understanding the Given Information:
- We know that the number of shaded squares divided by the total number of squares is 0.2.
- This can be written as:
[tex]\[
\frac{\text{Number of Shaded Squares}}{\text{Total Number of Squares}} = 0.2
\][/tex]
2. Identifying the Total Number of Squares:
- The total number of squares is given as 25.
3. Setting Up the Equation:
- Let's denote the number of shaded squares as [tex]\( S \)[/tex].
- We can set up the following equation based on the given information:
[tex]\[
\frac{S}{25} = 0.2
\][/tex]
4. Solving the Equation for [tex]\( S \)[/tex]:
- To find [tex]\( S \)[/tex], we multiply both sides of the equation by 25:
[tex]\[
S = 0.2 \times 25
\][/tex]
5. Calculating the Number of Shaded Squares:
- Perform the multiplication:
[tex]\[
S = 5
\][/tex]
### Conclusion:
The number of shaded squares is 5.
### Reflections on the Considerations:
- The number of shaded squares divided by the total number of squares is 0.2:
- Yes, this was the starting point of our calculation.
- The probability times the total number of squares will give the number of shaded squares:
- Yes, this relationship helped us set up the multiplication to find the shaded squares.
- The number of shaded squares is 5:
- Yes, our final calculation confirms that the number of shaded squares is 5.
Hence, the result aligns with the considerations mentioned.
