Question

PLEASE HELP ME!!!​
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

Answer:

two equations, 1)S+L=279, 2)1S+4L=567

96 Larges, 183 Smalls

Step-by-step explanation:

Solve for L:

multiply the first one by -1,

-S-L=-279

Subtract:

-S-L=-279

- S+4L=567

3L=288

Divide 288 by 3:

288/3=96

96=L, 96 larges

Solve for S:

We only need to use one equation since we already have L:

S+(96)=279

Take down parenthesis since no distribution

Subtract 96 from both sides:

S=183

Check:

183+96=279

183(1)+96(4)=567

183+384=567

567=567

I hope this helps u pls give brainliest and a thx ;)