Question

​Yesterday, a movie theater sold 279 bags of popcorn. A large bag of popcorn costs ​$4. A small bag of popcorn costs ​$1. In​ all, the movie theater made ​$567 from popcorn sales. Write and solve a system of equations to find how many bags of each size of popcorn were sold.

Answer 1

x=96 and y=183

Explanation:

Your welcome

Answer 2

Answer: 4x+y=567, x+y=279, where x=96 and y=183. X represents the large bags and y the small bags


Explanation: We know that our two totals are 279 and 567, so they will be on their own sides of the equation.

The number of large bags (x) plus the number of small bags (y) equals 279 bags in total.

As it relates to price, the price of the large bags (4x) plus the price of the small (y) gives us $567.