Movie theater A has a popcorn machine with a 100-gallon capacity, and sells 3 gallons of popcorn per hour. Movie theater B has a popcorn machine with a 150-gallon capacity, and sells 5 gallons of popcorn per hour. Write and equation to show when the two popcorn machines will have the same amount of popcorn left. Use x as ur variable

Answer 1

Let's assume that both movie theaters start with a full capacity of popcorn in their machines.
For movie theater A, the amount of popcorn left (in gallons) after x hours would be 100 - 3x.
For movie theater B, the amount of popcorn left (in gallons) after x hours would be 150 - 5x.

To find when the two popcorn machines will have the same amount of popcorn left, we can set these two equations equal to each other:

100 - 3x = 150 - 5x

Now we can solve this equation for x.