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 the two machines will have the same amount of milkshake left. Use x as your variable.(1 point)

1 answer

The equation would be:

300 - 15x = 280 - 20x

Explanation:

The left side of the equation represents the amount of vanilla milkshake left after x days, which is 300 cups minus the number of cups sold per day (15 cups per day).

The right side of the equation represents the amount of chocolate milkshake left after x days, which is 280 cups minus the number of cups sold per day (20 cups per day).

Setting these two expressions equal to each other gives us the point at which the two machines will have the same amount of milkshake left.