Let's assume that the initial amount of popcorn in both machines is the same, and let's call that amount "P".
After "t" hours, the amount of popcorn left in Theatre A's machine can be calculated as:
P - 3t
Similarly, the amount of popcorn left in Theatre B's machine after "t" hours can be calculated as:
P - 5t
To find out when the two machines will have the same amount of popcorn left, we need to set these two expressions equal to each other:
P - 3t = P - 5t
Simplifying this equation, we get:
2t = P
Therefore, the two machines will have the same amount of popcorn left after "t" hours, where "t" is half of the initial amount of popcorn (P) divided by 2.
In other words, the equation to show when the two popcorn machines will have the same amount of popcorn left is:
t = P/4
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
2 answers
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