Robert and Robert go to the movie theater and purchase refreshments for their friends. Robert spends a total of $65.25 on 4 drinks and 9 bags of popcorn. Robert spends a total of $51.75 on 8 drinks and 3 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.
Let d be the cost of each drink, and p be the price of each popcorn bag. We have 2 equations for our system of equations:
Let d be the cost of each drink, and p be the price of each popcorn bag. We have 2 equations for our system of equations:
- 4d + 9p = 65.25
- 8d + 3p = 51.75
- d = 4.5
- p = 5.25 <-- Since the problem asks for the cost of each popcorn bag