Question

Samuel and Sebastian go to the movie theater and purchase refreshments for their friends.

Samuel spends a total of $36.75 on 1 bag of popcorn and 3 drinks.

Sebastian spends a total of $138.00 on 3 bags of popcorn and 12 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

Answer and Explanation:

samuel---> 1pc+3dr=36.75

sebastian--->3pc+12dr=138

1pc+4dr=46

1pc+4dr=46

1pc+3dr=36.75

so 1 dr=46-36.75=$9.25

4dr is 9.25×4=37

so 1 pc=46-37=$9.00

Answer 2

$9.25

Explanation:

Cost of popcorn: x

Cost of drink: y

x + 3y = 36.75

x = 36.75 - 3y

3x + 12y = 138

x + 4y = 46

36.75 - 3y + 4y = 46

y = 46 - 36.75

y = 9.25