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.(1 point)

Question

Responses

120−7x=150−9x ; x=15
120 minus 7 x equals 150 minus 9 x ; x equals 15

120−7x=150−9x ; x=10
120 minus 7 x equals 150 minus 9 x ; x equals 10

120x−7=150x−9 ; x=15
120 x minus 7 equals 150 x minus 9 ; x equals 15

120+7x=150+9x ; x=−15

Answer 1

None of the given equations are correct. The correct equation is 120 - 7x =150 - 9x. To solve for x, you would subtract 120 from both sides and add 9x to both sides to get 2x = 30. Dividing both sides by 2 gives x = 15.