I do not understand why I have to put a minus. What are key words to understand: 300-15x=280-20x
A diner makes vanilla milkshakes and chocolate milkshakes. The vanilla milkshake machine has a 300-cup capacity and sells 15 cups per day. The chocolate milkshake machine has a 280-cup capacity and sells 20 cups per day. Write an equation to show when two machines will have the same amount of milkshake left. Use x as your variable.
Thank you
The key words to understand in the equation 300-15x=280-20x are "capacity", "sells", and "equal amounts left". This equation represents the amount of milkshake remaining in each machine after a certain number of days.
To write an equation showing when the two machines will have the same amount of milkshake left, we can set the remaining amount in each machine equal to one another:
300 - 15x = 280 - 20x
When solving for x in this equation, we can determine the number of days it will take for both machines to have the same amount of milkshake left.