Question

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.

Answer 1

Answer:

Step-by-step explanation:

$\left \{ {{2c+8p=58} \atop {5c+4p=49}} \right.$

2c + 8p = 58  

5c + 4p = 49

c + 4p = 29 ............. (1)

5c + 4p = 49 .......... (2)

(2) - (1)

4c = 20 ⇒ c = 5 and p = 6

Price of a candy is $5.00 and a popcorn is $6.00