To find the ratio of the number of brooms to the number of mops, we follow these steps:
1. Identify the quantities given:
- Number of brooms = 6
- Number of mops = 4
2. Set up the ratio:
A ratio is a way to compare two quantities by division. We want the ratio of brooms to mops.
The ratio can be represented as:
[tex]\[
\text{Ratio} = \frac{\text{Number of brooms}}{\text{Number of mops}} = \frac{6}{4}
\][/tex]
3. Simplify the ratio:
To simplify the ratio, we need to divide both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 6 and 4 is 2.
[tex]\[
\frac{6 \div 2}{4 \div 2} = \frac{3}{2}
\][/tex]
4. Verify against the given options:
We compare our simplified ratio with the options provided:
[tex]\[
A. \frac{5}{3}
B. \frac{3}{2}
C. \frac{2}{3}
D. \frac{3}{5}
\][/tex]
Our result [tex]\(\frac{3}{2}\)[/tex] matches Option B.
Thus, the ratio of the number of brooms to the number of mops is:
[tex]\[
\boxed{\frac{3}{2}}
\][/tex]
