Yesterday, a movie theater sold 301 bags of popcorn. A large bag of popcorn costs $3. A small bag of popcorn costs $1. In all, the movie theater made $507 from popcorn sales. Write and solve a system of equations to find how many bags of each size of popcorn were sold.



Answer :

Oh thats easy!!!
s-small popcorn $1
L- large popcorn $3
Total money-$507
Total bags-301
Equation:
3L+1S=$507
L+S=301     subtract by substituting

2L=206    divide
L (or y)=103

3(103)+1S=507   replace"L" for 103, then multiply
309+1S=507       subtract 309 from 507
1S=198----->  S(or x)=198
Coordinates are
(198,103)
Hope this helps...
Enjoy and Merry Early Christmas!!!!

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