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

120+7x=150+9x ; x=−15
120 plus 7 x equals 150 plus 9 x ; x equals negative 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

Answer 1

120 - 7x = 150 - 9x;
Subtracting 120 from both sides:
-7x = 30 - 9x;
Adding 9x to both sides:
2x = 30;
Dividing by 2:
x = 15

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