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 point)

Answer 1

Let t represent the number of hours that have passed.

For Movie Theatre A:
Amount of popcorn left = 120 - 7t

For Movie Theatre B:
Amount of popcorn left = 150 - 9t

To find when the two popcorn machines will have the same amount of popcorn left, we can set the two expressions equal to each other and solve for t.

120 - 7t = 150 - 9t

First, let's combine like terms by subtracting 120 from both sides and adding 9t to both sides.

-7t + 9t = 150 - 120

2t = 30

Finally, divide both sides by 2:

t = 15

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