a family buys 1 popcorn and 2 drinks for $8.01. A group buys 2 popcorn and 12 drinks for $32.18. find the cost of one drink and one popcorn

Question

At a movie theater a family buys 1 popcorn and two drinks for $8.01 and a group buys 2 popcorns and 12 drinks for 32.18. find the cost of one popcorn and one drink

Answer 1

Amounts in pennies to clear away the decimal...

 

P + 2d = 801 ---> P = 801 - 2d

 

2P + 12D = 3218

 

2(801 - 2d) + 12d = 3218

 

1602 - 4d + 12d = 3218

 

8d = 1616

 

d = 202  ----> drink costs $2.02

 

p = 397 ----> popcorn costs $3.97