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

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

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

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

Help

Answer 1

The correct equation is:
120x - 7 = 150x - 9

To solve for x, we can start by subtracting 120x from both sides:
-7 = 30x - 9

Next, we can add 9 to both sides:
2 = 30x

Finally, we can divide both sides by 30 to solve for x:
x = 2/30
Simplified, x = 1/15

So, Movie Theatre A and Movie Theatre B will have the same amount of popcorn left after 1/15 of an hour or 4 minutes.