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.
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
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