Question

Jordan and Carson go to the movie theater and purchase refreshments for their friends.

Jordan spends a total of $25.75 on 1 bag of popcorn and 3 drinks.

Carson spends a total of $81.25 on 4 bags of popcorn and 9 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.

Using these equations, determine and state the price of a drink, to the nearest cent.

Answer 1

$7.25

Explanation:

Cost of popcorn: x

Cost of drink: y

x + 3y = 25.75

x = 25.75 - 3y

4x + 9y = 81.25

4(25.75 - 3y) + 9y = 81.25

103 - 12y + 9y = 81.25

3y = 103 - 81.25

3y = 21.75

y = 7.25

x = 25.75 - 3(7.25)

x = 4

Answer 2

$7.25

Explanation:

Let p=popcorn

Let d=drinks

25.75=1p+3d

81.25=4p+9d

p=4

d=7.25