Duplicate Question
The question on this page has been marked as a duplicate question.
Original Question
Movie theater A has a popcorn machine with a 100-gallon capacity, and sells 3 gallons of popcorn per hour. Movie theater B has...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
There are no human answers yet.
Answered by
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.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.