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 her day. Write an equation to show when the 2 machines will have the same amount of milkshake left. Use x as your variable.

1 answer

Let's assume that the number of days left until the machines have the same amount of milkshake left is represented by the variable x.

For the vanilla milkshake machine:
The starting capacity is 300 cups, and it sells 15 cups per day.
So, the number of cups left after x days will be 300 - 15x.

For the chocolate milkshake machine:
The starting capacity is 280 cups, and it sells 20 cups per day.
So, the number of cups left after x days will be 280 - 20x.

Therefore, we can write the equation as:
300 - 15x = 280 - 20x