Movie Theatre A has a popcorn machine with a 100-gallon capacity and sells 3 gallons of popcorn per hour. Movie Theatre B has a popcorn machine with a 150-gallon capacity and sells 5 gallons of popcorn per hour. Write an equation to show when the 2 popcorn machines will have the same amount of popcorn left. use x are your variable

Answer 1

Let x represent the number of hours.
In Movie Theatre A, the amount of popcorn left after x hours can be represented as 100 - 3x gallons.
In Movie Theatre B, the amount of popcorn left after x hours can be represented as 150 - 5x gallons.
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:
100 - 3x = 150 - 5x