First, we need to determine the total number of cleaning tools by adding the number of brooms and mops together.
The question states:
- Number of brooms = 8
- Number of mops = 6
To find the total number of cleaning tools, we add these two quantities together:
[tex]\[
\text{Total number of brooms and mops} = 8 + 6 = 14
\][/tex]
Next, we need to determine the ratio of the number of mops to the total number of brooms and mops. This ratio is calculated by dividing the number of mops by the total number of cleaning tools.
[tex]\[
\text{Ratio} = \frac{\text{number of mops}}{\text{total number of brooms and mops}} = \frac{6}{14}
\][/tex]
This fraction can be simplified. We simplify it by dividing the numerator and the denominator by their greatest common divisor (GCD). In this case, the GCD of 6 and 14 is 2.
[tex]\[
\frac{6 \div 2}{14 \div 2} = \frac{3}{7}
\][/tex]
Therefore, the ratio of the number of mops to the total number of brooms and mops is [tex]\(\frac{3}{7}\)[/tex].
The correct answer is:
A. [tex]\(\frac{3}{7}\)[/tex]
