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.

ANSWERS120−7x=150−9x ; x=10 120 minus 7 x equals 150 minus 9 x ; x equals 10 120−7x=150−9x ; x=15 120 minus 7 x equals 150 minus 9 x ; x equals 15 120x−7=150x−9 ; x=15 120 x minus 7 equals 150 x minus 9 ; x equals 15 120+7x=150+9x ; x=−15

1 answer

The correct equation is 120 - 7x = 150 - 9x, where x represents the number of hours that have passed.

By solving this equation, we find that x = 10.

Therefore, the two popcorn machines will have the same amount of popcorn left after 10 hours.