Charlotte and savannah go to the movie theater and purchase refreshments for their friends. charlotte spends a total of $85.00 on 8 bags of popcorn and 10 drinks. savannah spends a total of $20.50 on 2 bags of popcorn and 2 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.

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

Step-by-step 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

25

step-by-step explanation:

b

step-by-step explanation:

the word superfluous means unnecessary