Answer:
The ratio of mangers to sales people of the stores are not equivalent as the ratios in their simplest form are not equal.
Step-by-step explanation:
Given:
One store has:
3 Managers and 12 sales persons
Another store has:
4 Managers and 15 sales persons.
To find if the ratio of mangers to sales people are equivalent.
Solution:
Store A:
Managers = 3
Sales people = 12
Ratio of mangers to sales people for store A = [tex]\frac{3}{12}[/tex] =[tex]\frac{3\div3}{12\div 3}=\frac{1}{4}[/tex] (Simplest ratio)
Store B:
Managers = 4
Sales people = 15
Ratio of mangers to sales people for store B = [tex]\frac{4}{15}[/tex]
The ratio is in the simplest form and cannot be reduced further.
We can see that : [tex]\frac{1}{4}\neq \frac{4}{15}[/tex]
Hence, the ratio of mangers to sales people of the stores are not equivalent.
