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Jackson went into a movie theater and bought 8 bags of popcorn and 2 candies, costing a total of $58. Cooper went into the same movie theater and bought 4 bags of popcorn and 5 candies, costing a total of $49. Write a system of equations that could be used to determine the price of each bag of popcorn and the price of each candy. Define the variables that you use to write the system.

Respuesta :

joseaaronlara

Answer:

The answer to your question is         Jackson  equation   8p + 2c = 58

                                                            Cooper equation     4p + 5c = 49

Step-by-step explanation:

Data

Jackson bought      8 bags of popcorn and 2 candies total $58

Cooper bought       4 bags of popcorn and 5 candies total $49

Process

1.- Asing letters to the variables

popcorn = p

candies = c

cost = s

2.- Write an equation for Jackson

               8p + 2c = 58

3.- Write an equation for Cooper

               4p + 5c = 49

adioabiola

The system of equations that can be used to determine the price of each bag of popcorn and the price of each candy is

8x + 2y = 58

8x + 2y = 584x + 5y = 49

let

price of popcorn = x

price of candy = y

Jackson :

popcorn = 8 bags

Candies = 2

Total cost = $58

8x + 2y = 58

Cooper:

popcorn = 4 bags

Candies = 5

Total cost = $49

4x + 5y = 49

The equation:

8x + 2y = 58

8x + 2y = 584x + 5y = 49

Therefore, the system of equation that can be used to determine the price of each bag of popcorn and the price of each candy is

8x + 2y = 58

8x + 2y = 584x + 5y = 49

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https://brainly.com/question/15165519

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