5.4 Solving Systems by Subtraction and substitution Question: 6

Question

5.4 Solving Systems by Subtraction and substitution Question: 6

Yesterday, a movie theater sold 265 bags of popcorn. A large bag of popcorn costs $3. A small bag of popcorn costs $1. In​ all, the movie theater made $387 from popcorn sales. Write and solve a system of equations to find how many bags of each size of popcorn were sold.

The movie theater sold

_______________________

 

large bags of popcorn and

_______________________

small bags of popcorn.

_______________________

Answer 1

3L +S=387

L+S = 265 subtract to eliminate S

2L = 122

L = 61 bags of Large popcorn

S= 265-61 = 204 bags of Small popcorn

3(61) + 204 = 183 + 204 = 387