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)
O 120 - 7x= 150 - 9x; x = 15
O 120 -7x = 150 - 9x; x = 10
0 120x - 7 = 150x - 9; x= 15
•120+7x=150+9x:x=-15
The correct equation to represent when the two popcorn machines will have the same amount of popcorn left is:
120 - 7x = 150 - 9x
To solve it, you can simplify it:
2x = 30
Then, isolate x by dividing both sides of the equation by 2:
x = 15
Therefore, the correct answer is:
O 120 - 7x = 150 - 9x; x = 15