An ice cream shop makes vanilla and chocolate ice cream the vanilla ice cream machine has a 180-cup capacity and sells 20 cups per day the chocolate ice cream machine has a 140-cup capacity and sells 16 cups per day right and solve an equation to solve when the two machines will have the same amount of ice cream left

1 answer

Let's assume that x represents the number of days it will take for the two machines to have the same amount of ice cream left.

For the vanilla ice cream machine:
The capacity is 180 cups, and it sells 20 cups per day. Hence, the amount of ice cream left after x days is given by 180 - 20x.

For the chocolate ice cream machine:
The capacity is 140 cups, and it sells 16 cups per day. Therefore, the amount of ice cream left after x days is 140 - 16x.

To find when the two machines will have the same amount of ice cream left, we can set the two equations equal to each other:
180 - 20x = 140 - 16x

Simplifying the equation:
180 - 140 = -16x + 20x
40 = 4x

Dividing both sides by 4:
x = 10

Therefore, it will take 10 days for the two machines to have the same amount of ice cream left.