Question

Mason and Cooper go to the movie theater and purchase refreshments for their friends. Mason spends a total of $69.75 on 9 drinks and 1 bag of popcorn. Cooper spends a total of $68.25 on 3 drinks and 7 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 drink, to the nearest cent.

Answer 1

cost of each bag of popcorn = $7

and cost of each drink = $6.75

Step-by-step explanation:

given data

Mason spends a total = $69.75

drink = 9 drinks

bag = 1

Cooper spends a total = $68.25

drink = 3 drinks

bag = 7

solution

we consider here

cost of each bag of popcorn = x

and cost of each drink = y

so we can write equation as

9x + 1y = 69.75 ..........................1

3x + 7y = 68.25 ..........................2

we will Solving the system of equation and we get

x = $7

y = $6.75

so cost of each bag of popcorn = $7

and cost of each drink = $6.75