Let's use the variable x to represent the amount of time in hours.
For movie theater A, the amount of popcorn remaining can be represented by the equation:
A(x) = 100 - 3x
For movie theater B, the amount of popcorn remaining can be represented by the equation:
B(x) = 150 - 5x
To find when the two popcorn machines will have the same amount of popcorn left, we set the two equations equal to each other:
100 - 3x = 150 - 5x
Simplifying the equation:
2x = 50
Dividing both sides by 2:
x = 25
Therefore, the two popcorn machines will have the same amount of popcorn left after 25 hours.
Movie theater a has a popcorn machine with 100 gallon capacity and sells 3 gallons of popcorn per hour movie theater B has a popcorn machine with 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 your variable
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