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
Let's denote the number of days as 'x'. We can create an equation to represent the amount of ice cream left in each machine after 'x' days.
For the vanilla ice cream machine:
Ice cream left in the vanilla machine = 180 - (20x)
For the chocolate ice cream machine:
Ice cream left in the chocolate machine = 140 - (16x)
To find the point at which both machines have the same amount of ice cream left, we equate these two expressions:
180 - (20x) = 140 - (16x)
Now we can solve for 'x'.
180 - 20x = 140 - 16x
Collecting like terms:
-20x + 16x = 140 - 180
-4x = -40
Dividing both sides by -4:
x = -40 / -4
x = 10
Therefore, it will take 10 days for the vanilla and chocolate ice cream machines to have the same amount of ice cream left.
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.