Problema Solution
Yesterday , a movie theater sold 309 bags of popcorn. A large bag of popcorn costs $4. A small bag of popcorn costs $1. In all, the movie theater made $711 from popcorn sales. Write and solve a system of equations to find how many bags of each size popcorn were sold.
Answer provided by our tutors
let
x = the number of large bag of popcorn sold
y = the number of small bag of popcorn sold
a movie theater sold 309 bags of popcorn:
x + y = 309
a large bag of popcorn costs $4. A small bag of popcorn costs $1. In all, the movie theater made $711 from popcorn sales:
4x + 1*y = 711
by solving the system of equations:
x + y = 309
4x + 1*y = 711
we find:
x = 134 large bags of popcorn
y = 175 small bags of popcorn
click here to see the step by step solution of the system of equations:
there were 134 large bags and 175 small bags of popcorn sold.