To determine the equation that can be used to find the number of black and white photos, we first need to understand the relationship between the total number of pictures, the percentage of black and white photos, and the number of black and white photos.
Given:
- Total number of pictures: 600
- Percentage of black and white pictures: 12%
To find the number of black and white photos, we can use the following relationship:
[tex]\[
\text{Number of black and white photos} = \left(\frac{\text{Percentage of black and white photos}}{100}\right) \times \text{Total number of pictures}
\][/tex]
Plugging in the values from the question:
[tex]\[
\text{Number of black and white photos} = \left(\frac{12}{100}\right) \times 600
\][/tex]
We simplify this calculation:
[tex]\[
\left(\frac{12}{100}\right) \times 600 = \frac{12 \times 600}{100} = \frac{7200}{100} = 72
\][/tex]
Thus, the number of black and white photos is 72.
Among the given equations, let's identify the one that follows this logic:
[tex]\[
\frac{12 \times 6}{100 \times 6} = \frac{72}{600}
\][/tex]
Let's verify how this works:
- On the left side of the equation, we perform the multiplication:
[tex]\[
\frac{12 \times 6}{100 \times 6} = \frac{72}{600}
\][/tex]
This equation precisely represents the relationship between the percentage of black and white photos and the total number of pictures, resulting in 72 black and white photos out of 600.
Therefore, the correct equation that can be used to find the number of black and white photos is:
[tex]\[
\frac{12 \times 6}{100 \times 6} = \frac{72}{600}
\][/tex]
This verifies our initial calculation used to determine the number of black and white photos.
