Let's assume that the amount of popcorn left after "x" hours in theater A is "y" gallons, and the amount of popcorn left after "x" hours in theater B is "z" gallons.
We can write the following equation for both theaters:
120 - 7x = 159 - 9x
To solve this equation, we can simplify it by combining like terms:
7x - 9x = 159 - 120
-2x = 39
Now, divide both sides of the equation by -2 to solve for x:
x = 39 / -2
x = -19.5
Since time cannot be negative, we can conclude that the two popcorn machines will have the same amount of popcorn left after approximately 19.5 hours.
Move theatre A has popcorn machine with 120 gallon capacity. It sells 7 gallons of popcorn per hour. Movie theater B has a popcorn machine with 159 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 answer
1 answer