Answer :
So,
First we convert [tex]9 \frac{1}{3} [/tex] into fraction form.
[tex]9 \frac{1}{3} --\ \textgreater \ \frac{28}{3} [/tex]
28 divided by 2 is 14. So Carol will need 14 plastic bags.
Answer: Carol needs 14 plastic bags.
Step-by-step explanation: Given that Carol makes [tex]9\dfrac{1}{3}[/tex] cups of snacks mix. She puts all the snack mix into plastic bags and she puts [tex]\dfrac{2}{3}[/tex] cup of the snack mix in each bag.
We are to find the number of plastic bags that Carol needs.
Let, n be the number of plastic bags that Carol needs.
Then, according to the given information, we have
[tex]n\times \dfrac{2}{3}=9\dfrac{1}{3}\\\\\\\Rightarrow \dfrac{2n}{3}=\dfrac{28}{3}\\\\\\\Rightarrow n=\dfrac{28\times 3}{3\times 2}\\\\\\\Rightarrow n=14.[/tex]
Thus, Carol needs 14 plastic bags.