Answer :
Answer: 9
Step-by-step explanation:
Given
The ratio of vegetarian to the meat-filled item is 1:3
There are 18 meat-filled items on the menu
So, vegetarian items must be
[tex]\Rightarrow \dfrac{1}{3}=\dfrac{V}{18}\\\\\Rightarrow V=\dfrac{18}{3}=6\ \text{items}[/tex]
Now, to make a ratio of 1:2, Vegetarian items must be
[tex]\Rightarrow \dfrac{1}{2}=\dfrac{V'}{18}\\\\\Rightarrow V'=\dfrac{18}{2}=9\ \text{items}[/tex]