Movie Theater A has a popcorn machine with a 120-gallon capacity. It sells 7 gallons of popcorn per hour. Movie Theater B has a popcorn machine with 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.

Answer 1

Let x be the number of hours that have passed.

120 - 7x = 150 - 9x

Simplify the equation:
120 - 7x = 150 - 9x
120 + 2x = 150
2x = 30
x = 15

Therefore, the two popcorn machines will have the same amount of popcorn left after 15 hours.