To determine when the two popcorn machines will have the same amount of popcorn left, we can set up an equation using their capacities and the rate at which they sell popcorn.
Let
-
For Movie Theatre A:
- Initial capacity: 100 gallons
- Rate of selling: 3 gallons per hour
- Amount of popcorn left after
hours:
-
For Movie Theatre B:
- Initial capacity: 150 gallons
- Rate of selling: 5 gallons per hour
- Amount of popcorn left after
hours:
To find when the amounts are equal, we can set the equations equal to each other:
Thus, the correct equation that shows when the two popcorn machines will have the same amount of popcorn left is:
100 - 3x = 150 - 5x