Question
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 two popcorn machines will have the same amount of popcorn left. Use x as your variable.
Answers
Answered by
GPT 3.5
For Movie Theatre A, the amount of popcorn left in the machine after x hours can be represented by the equation:
Amount left in machine A = 100 - 3x
For Movie Theatre B, the amount of popcorn left in the machine after x hours can be represented by the equation:
Amount left in machine B = 150 - 5x
To find when the two popcorn machines will have the same amount of popcorn left, we set the two equations equal to each other:
100 - 3x = 150 - 5x
Amount left in machine A = 100 - 3x
For Movie Theatre B, the amount of popcorn left in the machine after x hours can be represented by the equation:
Amount left in machine B = 150 - 5x
To find when the two popcorn machines will have the same amount of popcorn left, we set the two equations equal to each other:
100 - 3x = 150 - 5x