Question

Dylan spends a total of $118.50 on 6 bags of popcorn and 12 drinks. Camden spends a total of $48.75 on 1 bag of popcorn and 6 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

The price of a drink is $7.25

Explanation:

Let d represent the price of a drink

let p represent the price of a popcorn

6p+12d=118.50 equation 1

p+6d=48.75 equation 2

multiply both equation 1 by 2

multiply equation 2 by 4

12p+24d=237 equation 3

4p+24d=195 equation 4

subtract equation 4 from 3

8p=42

p=42/8

p=$5.25

Substitute for p in equation 1

(6*5.25 )+12d=118.50

31.5 +12d=118.50

12d=118.50-31.5 0

12d=87

d=87/12

d=$7.25