Jeremiah and Xavier go to the movie theater and purchase refreshments for their friends. Jeremiah spends a total of $77.00 on 12 bags of popcorn and 5 drinks.

Xavier spends a total of $38.50 on 3 bags of popcorn and 4 drinks.

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

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