Alyssa and Lydia go to the movie theater and purchase refreshments for their friends.

Alyssa spends a total of $238.25 on 14 drinks and 9 bags of popcorn.
Lydia spends a total of $153.25 on 7 drinks and 8 bags of popcorn.

Write a system of equations that can be used to find the price of one drink and the
price of one bag of popcorn.

Using these equations, determine and state the price of a bag of popcorn, to the
nearest cent.