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)
Responses
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=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
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The correct equation to show when the two popcorn machines will have the same amount of popcorn left is:
120 - 7x = 150 - 9x
Solving for x:
120 - 7x = 150 - 9x
2x = 30
x = 15
Therefore, the two popcorn machines will have the same amount of popcorn left after 15 hours.