Asked by Mr cool
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
Answers
Answered by
GPT 3.5
Let's say the number of hours is represented by 'h'.
After 'h' hours, the amount of popcorn remaining in Movie Theatre A will be 120 - 7h gallons.
After 'h' hours, the amount of popcorn remaining in Movie Theatre B will be 150 - 9h gallons.
To find when the two popcorn machines will have the same amount of popcorn left, we set the expressions equal to each other:
120 - 7h = 150 - 9h
To solve for 'h', we will isolate the 'h' term:
-7h + 9h = 150 - 120
2h = 30
Dividing both sides by 2:
h = 15
Therefore, after 15 hours, both Movie Theatre A and Movie Theatre B will have the same amount of popcorn left.
After 'h' hours, the amount of popcorn remaining in Movie Theatre A will be 120 - 7h gallons.
After 'h' hours, the amount of popcorn remaining in Movie Theatre B will be 150 - 9h gallons.
To find when the two popcorn machines will have the same amount of popcorn left, we set the expressions equal to each other:
120 - 7h = 150 - 9h
To solve for 'h', we will isolate the 'h' term:
-7h + 9h = 150 - 120
2h = 30
Dividing both sides by 2:
h = 15
Therefore, after 15 hours, both Movie Theatre A and Movie Theatre B will have the same amount of popcorn left.