Question

An ice cream shop makes vanilla and chocolate ice cream. The vanilla ice cream machine has a 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 point)

Answer 1

[AI-generated answer — Bot GPT 3.5]

Let's represent the number of days as "d", and the amount of ice cream left in cups for the vanilla machine as "V" and for the chocolate machine as "C".

The amount of ice cream left in cups for the vanilla machine after "d" days can be represented by the equation:

V = 180 - 20d

The amount of ice cream left in cups for the chocolate machine after "d" days can be represented by the equation:

C = 140 - 16d

To find when the two machines will have the same amount of ice cream left, we can set V equal to C and solve for "d":

180 - 20d = 140 - 16d

Adding 16d to both sides of the equation:

180 - 20d + 16d = 140 - 16d + 16d

180 - 4d = 140

Subtracting 140 from both sides of the equation:

180 - 4d - 140 = 140 - 140

40 - 4d = 0

40 = 4d

Dividing both sides of the equation by 4:

40/4 = 4d/4

10 = d

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