Question

Stacey and her friends visit the

concession stand at a movie theater. The
stand charges $2 for a bag of popcorn
and $1 for a drink. The friends buy a total
of 8 items for $11. Write a system of
equations to represent this situation.
Graph the system of linear equations.
How many bags of popcorn and how
many drinks did Stacey and her friends
buy?

Answer 1

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Answer 2

Stacy can buy a maximum of 2 bags of popcorn and maximum of 6 drinks

Possible answer:
(1,8) (2,6), etc …

The shaded area with the color red and blue is the possible popcorn and drinks she can buy. But make sure to remove that she can but the maximum of 8 total items.

Explanation:

Let x = number of bags of popcorn

Let y = number of drinks

2x + 1y ≤ 11

-2x -2x

———————

1y ≤ -2x + 11 or y ≤ -2x +11

x + y ≥ 8

-x -x

—————

y ≥ -x + 8

Image of the graph: