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

1 answer

Let's assume that both machines start with a full capacity of ice cream.

Let x represent the number of days that have passed.
The amount of vanilla ice cream left after x days is 180 - 20x.
The amount of chocolate 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 set up the following equation:

180 - 20x = 140 - 16x

Simplifying the equation, we get:

-20x + 16x = 140 - 180
-4x = -40
x = (-40)/(-4)
x = 10

Therefore, the two machines will have the same amount of ice cream left after 10 days.