Answer:
The system of equations that can be used to find the price of one bag of popcorn and the price of one drink are:
8p + 10d = 85
2p + 2d = 20.50
Explanation:
Let the price of a bag of popcorn be p
Let the price of one drink be d
Charlotte spends a total of $85.00 on 8 bags of popcorn and 10 drinks. This means
8p + 10d = 85
Savannah spends a total of $20.50 on 2 bags of popcorn and 2 drinks.
2p + 2d = 20.50
The system of equations that can be used to find the price of one bag of popcorn and the price of one drink are:
8p + 10d = 85 ----------1
2p + 2d = 20.50 - - - - - -2
Solving the equations with elimination method, multiply equation 1 by 2 and equation 2 by 8
16p + 20d = 170
16p + 16d = 164
Subtracting,
4d = 6
d = 6/4 = $1.5
Put d = 2 in equation 1
8p + 15 = 85
p = 70/8 = $8.75