Question

Movie Theatre A has a popcorn machine with a 120-gallon capacity. It sells 7 gallons of popcorn per hour. Movie Theatre B has a popcorn machine with a 150-gallon capacity. It sells 9 gallons of popcorn per hour. Write and solve an equation to show when the two popcorn machines will have the same amount of popcorn left.(1 po

Answer 1

[AI-generated answer — Bot GPT 3.5]

Let x be the number of hours passed since starting to sell popcorn.

The amount of popcorn left in Movie Theatre A after x hours is 120 - 7x gallons.
The amount of popcorn left in Movie Theatre B after x hours is 150 - 9x gallons.

To find when the two popcorn machines will have the same amount of popcorn left, we set up the equation:
120 - 7x = 150 - 9x

Solve for x:
120 - 7x = 150 - 9x
2x = 30
x = 15

Therefore, the two popcorn machines will have the same amount of popcorn left after 15 hours.