Movie theater has a popcorn machine with 120 gallon capacity. It sells 7 gallons of popcorn per our movie theater. B has a popcorn machine with 150 gallon capacity. It sells 9 gallons of popcorn per hour right 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 after which the two popcorn machines will have the same amount of popcorn left.

At time x:
Remaining popcorn in first machine = 120 - 7x
Remaining popcorn in second machine = 150 - 9x

Setting these two quantities equal to each other, we have:
120 - 7x = 150 - 9x

Solving for x:
2x = 30
x = 15

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