To determine the ratio of the number of brooms to the number of mops, we need to compare these two quantities directly.
1. Identify the quantities:
- The number of brooms is 6.
- The number of mops is 4.
2. Set up the ratio:
The ratio of brooms to mops can be written as a fraction. This will be the number of brooms divided by the number of mops.
[tex]\[
\text{Ratio of brooms to mops} = \frac{\text{number of brooms}}{\text{number of mops}} = \frac{6}{4}
\][/tex]
3. Simplify the fraction:
To simplify [tex]\(\frac{6}{4}\)[/tex], we divide both the numerator and the denominator by their greatest common divisor, which is 2.
[tex]\[
\frac{6 \div 2}{4 \div 2} = \frac{3}{2}
\][/tex]
4. Match with the answer choices:
The simplified ratio [tex]\(\frac{3}{2}\)[/tex] corresponds to option B.
Thus, the ratio of the number of brooms to the number of mops is [tex]\(\boxed{\frac{3}{2}}\)[/tex].
