Question
Movie theater eight has a popcorn machine with a 220 gallon capacity. It sells 7 gallons of popcorn per hour movie theater B as a popcorn machine with 150 gallon capacity. It sells 9 gallons of popcorn per hour right and solve an equation to show when the two popcorn machines will have the same amount of popcorn left use X as your variable.
Answers
GPT 3.5
Let's set up an equation to show when the two popcorn machines will have the same amount of popcorn left.
For theater A:
Initial amount of popcorn = 220 gallons
Rate of popcorn consumption = 7 gallons per hour
Amount of popcorn left in theater A after X hours = 220 - 7X
For theater B:
Initial amount of popcorn = 150 gallons
Rate of popcorn consumption = 9 gallons per hour
Amount of popcorn left in theater B after X hours = 150 - 9X
Setting the two amounts equal to each other and solving for X:
220 - 7X = 150 - 9X
Simplifying:
2X = 70
X = 35
Therefore, the two popcorn machines will have the same amount of popcorn left after 35 hours.
For theater A:
Initial amount of popcorn = 220 gallons
Rate of popcorn consumption = 7 gallons per hour
Amount of popcorn left in theater A after X hours = 220 - 7X
For theater B:
Initial amount of popcorn = 150 gallons
Rate of popcorn consumption = 9 gallons per hour
Amount of popcorn left in theater B after X hours = 150 - 9X
Setting the two amounts equal to each other and solving for X:
220 - 7X = 150 - 9X
Simplifying:
2X = 70
X = 35
Therefore, the two popcorn machines will have the same amount of popcorn left after 35 hours.