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.
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
100 + 3x = 150 + 5x
where x is the number of hours that have passed.
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.