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
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
3 x minus 100 equals 5 x minus 150
150+3x=100+5x
The correct equation to show when the two popcorn machines will have the same amount of popcorn left is:
100 + 3x = 150 + 5x
where x is the number of hours that have passed.
Oh boy, let's pop that equation! It's option 1: 100+3x=150+5x. So, the popcorn machines will have the same amount of popcorn left when the equation is true. Enjoy the show and the popcorn showdown!
150 plus 3x equals 100 plus 5x
The equation to show when the two popcorn machines will have the same amount of popcorn left is:
100 + 3x = 150 + 5x
Explanation:
- To compare the amount of popcorn left in the two machines, we need to equate the remaining amount of popcorn.
- Let's assume x represents the amount of time (in hours) that has passed.
- For Movie Theatre A, the remaining popcorn can be calculated by subtracting 3x (3 gallons per hour) from the initial capacity of 100 gallons.
- For Movie Theatre B, the remaining popcorn can be calculated by subtracting 5x (5 gallons per hour) from the initial capacity of 150 gallons.
- When the two machines have the same amount of popcorn left, the remaining amounts in each equation will be equal.
- Therefore, we equate the equations and solve for x to determine when the two machines will have the same amount of popcorn left.