Linear Equations in Real-World Scenarios Quick Check
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Question
Movie Theatre A has a popcorn machine with a 100-gallon capacity, and sells 3 gallons of popcorn per hour. Movie Theatre B has a popcorn machine with a 150-gallon capacity, and sells 5 gallons of popcorn per hour. Write an equation to show when the two popcorn machines will have the same amount of popcorn left. Use x as your variable.(1 point)
Responses
150+3x=100+5x
150 plus 3 x equals 100 plus 5 x
100+3x=150+5x
100 plus 3 x equals 150 plus 5 x
100−3x=150−5x
100 minus 3 x equals 150 minus 5 x
3x−100=5x−150
Correct response: 100+3x=150+5x
Explanation: The equation represents the amount of popcorn left in each machine at any time x. The left side represents Movie Theatre A and the right side represents Movie Theatre B. The two amounts will be the same when they both have the same amount of popcorn left, which is what the equation shows.